Looking at Yari's equation below, what
do you notice about both sides of the
equation?
2(x + 10)-17=5+2x-2
2x + 20-17=3+2x
2x +3=3+2x

A) Only the constants are the same on both sides.

B) Both sides are exactly the same.

C) The variable terms on each side of the equation are different.

D) Only the variable terms are the same on both sides.

Looking At Yari's Equation Below, Whatdo You Notice About Both Sides Of Theequation?2(x + 10)-17=5+2x-22x

Answers

Answer 1

Answer:

B, hope this helps you!

Answer 2
Final answer:

Both the variable and constant terms in Yari's equation are identical on each side after simplification, leading to the conclusion that both sides are exactly the same.

Explanation:

Analysing Yari's equation step-by-step, we can see that after expanding and simplifying both sides of the equation:

2(x + 10) - 17 becomes 2x + 20 - 17, which simplifies to 2x + 3.5 + 2x - 2 simplifies directly to 3 + 2x.

Comparing both sides of the simplified equation 2x + 3 = 3 + 2x, we notice that both the variable terms (2x) and the constant terms (3) are identical on each side.

Therefore, the correct answer is:

B) Both sides are exactly the same.


Related Questions

If the graph of an equation has a slope of 3 and passes through the point (1, -1). What is the equation?
3x + y = -2
3x + y = 2
3x - y = 4
3x - y = -4

Answers

Answer: The equation has a slope of 3 and passes through the point (1,-1)

is 3 x-y=4

Step-by-step explanation:

Step 1 :-

An equation having slope 'm' and passing through the point

is [tex]y-y_{1} = m(x-x_{1} )[/tex].......(1)

Step 2:-

Now given equation slope m=3 and given point is (1,-1)

substitute these values in equation(1), we get

[tex]y-(-1)=3(x-1)[/tex]

on simplification, we get

[tex]y+1 = 3 x-3[/tex]

[tex]3 x-y=4[/tex]

The MAD for the fall data is 2.8 cookies. The MAD for the spring data is 2.6 cookies. Express the difference in means as a multiple of the larger MAD.
(The mean for the spring is 24 and the mean for the fall is 23.)​

Answers

Answer:

1.2

sorry if its not the right problem

Step-by-step explanation:

Final answer:

To express the difference in means as a multiple of the larger MAD, divide the difference by the larger MAD.

Explanation:

To express the difference in means as a multiple of the larger MAD, we first need to determine which MAD is larger. The MAD for the fall data is 2.8 cookies, and the MAD for the spring data is 2.6 cookies. Since the MAD for fall is larger, we will use it as the denominator in our calculation.

The difference in means is 24 - 23 = 1 cookie.

To express this difference as a multiple of the larger MAD, we divide the difference by the larger MAD:

1 / 2.8 = 0.3571

Therefore, the difference in means is approximately 0.3571 times the larger MAD.

Sooo I wanna know if 68 is the correct answer to this one if so how

Answers

to what question i will answer if mire detail ?

What is the answer to this question

Answers

Answer:

Center

Minor segment.

Step-by-step explanation:

See the attached diagram of the circle.

Here, two blanks are there and we have to fill up with the correct circle vocabulary.

The blank with an arrow can be filled up by the Center of the circle about which the circle is drawn.

And the other blank should be the Minor segment of the circle.  

A chord divides the circle into two areas, major and minor segments. (Answer)

The recreation department is sending out flyers for the upcoming summer sessions. Marilyn and her three friends are putting labels on each flyer. So far, they have shared the work evenly and labeled 200 total flyers. If they continue to share the work evenly, which simplified expression represents the total number of flyers each girl will label? Let f represent the number of additional flyers.

A. 100 + 4f
B. 100+ f/4
C. 200+ f/4
D. 50+ f/4

Marilyn, Sharon, and Rhonda collect earrings. Marilyn has half as many earrings as Sharon. Rhonda has 15 more earrings than Marilyn. Let x represent the number of earrings that Sharon has. Which algebraic expression represents the number of earrings Rhonda has?

A. x +15
B. 0.5x+15
C. x-15
D. 15-0.5x

Hector, Sam, Ted, and Gina are comparing their savings. Hector saved twice as much money as Sam. Ted saved $100 more than Hector. Gina saved $50 less than Ted. Let x represent the amount of money Sam has in savings. Which algebraic expression represents the amount of money Gina has?
A. 2x+50
B. 2x-50
C. x+150
D. x-50

Answers

The expressions representing the total flyers each girl will label, the number of earrings Rhonda has, and the amount of money Gina has are 50 + f/4, 0.5x + 15, and 2x + 50, respectively.

The correct answer for the following question 1) option (D), question 2) option (B) and for question 3) option (A)

To determine the number of flyers each girl will label including the additional flyers, we assume that Marilyn and her three friends will continue to share the work evenly. They have labeled 200 flyers so far, equally, which means each has labeled 200 / 4 = 50 flyers. If f represents the number of additional flyers they will label, and they continue to share this work equally, each will label f/4 more flyers. Thus, the total number each girl will label is 50 (already labeled) + f/4 (additional), represented by the expression 50 + f/4, which corresponds to option D.

For the number of earrings Rhonda has, if x represents the number of earrings that Sharon has, Marilyn has half of this amount, or 0.5x. Rhonda has 15 more than Marilyn, so the total number of earrings Rhonda has can be represented by the expression 0.5x + 15, which is option B.

In the case of the savings, if x represents the amount of money Sam has, Hector has twice this amount, so Hector has 2x. Ted has saved $100 more than Hector, leading to 2x + $100. Gina saved $50 less than Ted, which is (2x + $100) - $50, simplified to 2x + 50, and that corresponds to option A.

Eric says "even square numbers always have more factors than odd square numbers"
Find examples to show that Eric is wrong.​

Answers

One example is that 3721 (yes that is a square it’s 61*61) has the same amount of factors as 4. The factors of 3721 are 3721, 61, and 1 but the factors of 4 are 4, 2, and 1. Another example is 616225 has more factors than 16 the factors of 616225 are 1, 5, 25, 157, 785, 3925, 24649, 123245, and 616225 but the factors of 16 are just 1, 2, 4, 8, and 16. My final example is that 998,001 (999*999) has more factors than 4624 because the factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, and 4624 but the factors of 998001 are 1, 3, 9, 27, 37, 81, 111, 243, 333, 729, 999, 1369, 2997, 4107, 8991, 12321, 26973, 36963, 110889, 332667, and 998001.

Eric is wrong because even square numbers do not always have more factors than odd square numbers for example square of 785.

Given :

Even square numbers always have more factors than odd square numbers.

The following steps can be used in order to show that Eric is wrong:

Step 1 - According to the given data, even square numbers always have more factors than odd square numbers.

Step 2 - So, to prove this statement wrong there are some examples given in the below steps.

Step 3 - The square of 61 gives 3721 whose total number of factors are 4 similar number of factors as 4.

Step 4 - The square of 785 gives 616225 whose total number of factors are more than 16.

For more information, refer to the link given below:

https://brainly.com/question/18832008

A square pyramid is shown below:

What is the surface area of the pyramid? (1 point)

Question 19 options:

1)
8.01 square feet

2)
2.61 square feet

3)
4.41 square feet

4)
1.71 square feet

Answers

Answer:

I do not see the picture, but if the following measurements are correct, then you have your answer!

The sides of the square base are labeled 0.9 foot. The height of one of the triangular sides is labeled 4 feet

Step-by-step explanation:

[tex]8.01 ft^{2}[/tex] or 8.01 square feet

Answer:

8.01

Step-by-step explanation:

What is an equivalent expression for 8x+3+5(2x+6)

Answers

One expression could be 24x+48

Answer:

18r+33

Step-by-step explanation:

Match each verbal description of a sequence with its appropriate explicit function.
an= 4 . (2)- 1
an= 3 + 4(n-1)
an = 4+2(n-1)
an = 2 + 3(n-1)
an = 3 . (4)n-1
a, = 2 · (3)9 - 1
an arithmetic sequence with a first term of 2 and a common difference of 3
a geometric sequence with first term of 4 and a common ratio of 2
a geometric sequence with first term of 3 and a common ratio of 4
an arithmetic sequence with a first term of 3 and a common difference of 4

Answers

Good morning ☕️

Answer:

an= 4 . (2)ⁿ⁻¹

an= 3 + 4(n-1)

an = 4+2(n-1)

an = 2 + 3(n-1)

an = 3 . (4)ⁿ⁻¹

a, = 2 · (3)9 - 1

→ an arithmetic sequence with a first term of 2 and a common difference of 3

an = 2 + 3(n-1)

→ a geometric sequence with first term of 4 and a common ratio of 2

an= 4 . (2)ⁿ⁻¹

→ a geometric sequence with first term of 3 and a common ratio of 4

an = 3 . (4)ⁿ⁻¹

→ an arithmetic sequence with a first term of 3 and a common difference of 4

an= 3 + 4(n-1)

:)

I NEED HELP!!!
CAN SOMEONE HELP ME

Answers

Your answer should be (b)

Equation that would have infinitely many solutions with 5x+3y=12

Answers

Answer:

15x + 9y= 36

Step-by-step explanation:

To find such an equation, it would simply have to be a multiple of the given equation. So, multiply the whole equation by any integer (to make life easy):

[tex]3(5x+3y)=3(12)[/tex]

[tex]15x+9y=36[/tex]

Sarah paints a straight line. The line is 13 1/2 ft long. She wants to divide the line into sections that are each 18 ft long.

How many sections will the line be divided into?

Answers

The number of sections made is [tex]\frac{3}{4}[/tex]

Solution:

Given that, Sarah paints a straight line

The line is [tex]13\frac{1}{2}[/tex] feet

She wants to divide the line into sections that are each 18 ft long

To find: Number of sections

From given,

[tex]\text{Length of line } = 13\frac{1}{2} = 13.5 \text{ feet }[/tex]

[tex]\text{Length of 1 section } = 18 \text{ feet }[/tex]

Number of sections can be found by dividing the total length of line by length of 1 section

[tex]\text{Number of sections } = \frac{\text{Total length of line}}{\text{length of 1 section}}[/tex]

Substituting the values, we get,

[tex]\text{Number of sections } = \frac{13.5}{18} = 0.75 = \frac{3}{4}[/tex]

Thus number of sections made is [tex]\frac{3}{4}[/tex]

. Write an equation for the line parallel to y = 7x + 11 that contains P(-5, 7).
a. x - 7 = -76y + 5)
c. y - 7 = 7(x + 5)
b. y - 7 =-7(x + 5)
O
d . y + 7 = 7(x + 5)

Answers

a) x – 7 = -7(6y + 5)

x – 7 = -42y + -35

x – 7 + 35 = -42y

x + 28 = -42y

y = (1/42)x – 14/21

c) y – 7 = 7(x + 5)

y – 7 = 7x + 35

y = 7x + 42

b) y – 7 = -7(x + 5)

y – 7 = -7x -35

y = -7x – 28

d) y + 7 = 7(x + 5)

y + 7 = 7x + 35

y = 7x + 28

Emily and Lily are reading the same copy of the same book for a summer reading assignment.

Emily has already read 16 pages. Emily reads 22 pages per day until the book is finished.
Lily has already read 24 pages. Lily reads 18 pages per day until the book is finished.
One day, the two girls notice that they are on the same page. What page number are they on when they have read the same amount of the book?

Answers

Answer:

Step-by-step explanation:

emily : 16 + 22x....with x being the number of days

Lily : 24 + 18x

16 + 22x = 24 + 18x

22x - 18x = 24 - 16

4x = 8

x = 8/4

x = 2 <==== they will be on the same page in 2 days

16 + 22x = 16 + 22(2) = 16 + 44 = 60

24 + 18x = 24 + 18(2) = 24 + 36 = 60

and they will both be on page 60 <===

They are both in page 60

Let the number of days that they used in reading till they are on the same page be represented by x.

Since Emily has already read 16 pages. Emily reads 22 pages per day until the book is finished. This can be represented as:

Emily = 16 + (22 × x) = 16 + 22x

Lily has already read 24 pages and she reads 18 pages per day until the book is finished. This can be represented as:

Lily = 24 + (18 × x) = 24 + 18x

Then, we will equate the two equations and this will be:

16 + 22x = 24 + 18x

Collect like terms

22x - 18x = 24 - 16

4x = 8

Divide both side by 4

4x/4 = 8/4

x = 2

Therefore, the number of days will be in 2 days time.

Then the page number will be gotten by choosing any of the equations and this will be:

= 16 + 22x

= 16 + 22(2)

= 16 + 44.

= 60

Also, 24 + 18x will be:

= 24 + 18(2)

= 24 + 36

= 60

They are both in page 60

You can read related question on:

https://brainly.com/question/17210525

What’s the best way to serve lion meat

Answers

Final answer:

The question is best addressed by describing the behavior and characteristics of lions as carnivorous animals and the species they typically prey upon in the wild. Highlighting the lion's status as an apex predator and protected species emphasizes the importance of conservation.

Explanation:

The question posed seems to be about the dietary habits of lions, which are large carnivorous mammals known for their hunting prowess. Discussing the consumption of lion meat by humans is ethically controversial and in many regions illegal, as lions are a protected species. Instead, we can focus on the nature of lions as carnivores and their role in the ecosystem as apex predators. Lions primarily hunt and feed on a variety of herbivorous wildlife, including zebras, giraffes, pigs, antelope, and wildebeests. Hunting is a critical skill for lions, utilizing their keen sense of smell and powerful physique. The appearance of lions, including their distinctive mane, is not just for show but also serves to intimidate rivals and prey.

Lions are indeed among the largest of the big cat species and hold a historical significance across various cultures. Due to their size and nature, lions may pose a threat to humans if disturbed or threatened. It is important to remember that they are a protected species vital to the ecosystem and should be respected in their natural habitats.

Serving lion meat is illegal in many places and ethically controversial. It's important to respect wildlife conservation and choose sustainable, legal options.

Serving lion meat is fraught with ethical, legal, and conservation concerns. Lions are apex predators and vital to their ecosystems; their populations are already under significant threat due to habitat loss, human-wildlife conflict, and poaching. Consuming lion meat can exacerbate these issues by promoting illegal wildlife trade and threatening already vulnerable populations.

From a legal standpoint, many countries have strict regulations against hunting and consuming lions due to their endangered or protected status. Additionally, there are ethical considerations surrounding the killing of such majestic animals for human consumption. Lions are often viewed with awe and respect, and the idea of slaughtering them for food can be deeply unsettling for many people.

In summary, the best way to serve lion meat is not to serve it at all. Instead, it's crucial to prioritize wildlife conservation efforts and support sustainable, legal alternatives that do not harm endangered species or their habitats.

Please answer the question attached below.

Answers

Answer:

Please check the attached figure a for a complete visual.

Step-by-step explanation:

Considering the triangle ΔABC with vertices

A(-2, 0) B(-2, 4)C(0, 0)

When a figure is multiplied by a scale factor greater than 1, the figure is enlarged.

As the center of enlargement is (4, 4).

So, Draw a straight line from vertex A to the point (4, 4). Count how many units it needed in two dimensions to reach the center of enlargement (4, 4).

In case of vertex A, it was 6 units right and 4 units up. So, multiply them with 1.5 and locate the resulting position as A' which is the image of A after the scale factor of 1.5 using the center of enlargement as (4, 4).

So, when we multiply '6 units right' with 1.5, it becomes 9 units. So, move 9 units right from the center of enlargement (4, 4).

Similarly, when we multiply '4 units up' with 1.5, it becomes 6 units. So, move 6 units up from the center of enlargement (4, 4).

So, new the position of A' is shown in figure a.

Similarly, the vertex B and C are enlarged and the positions of B' and C' are shown in figure a.

The complete enlargement of triangle ΔABC is done as ΔA'B'C'. Please check the attached figure a for a complete visual.

Keywords: enlargement, scale factor, transformation

Learn more about transformation from brainly.com/question/9930004

#learnwithBrainly

Isaac used ¼ of an ounce of nuts to make 1/16 of a pound cake. How many ounces of nuts are there per cake?

Answers

Answer:

[tex]4[/tex] ounces of nuts are there per cake.

Step-by-step explanation:

Given Isaac used [tex]\frac{1}{4}[/tex] of an ounce of nuts to make [tex]\frac{1}{16}[/tex] of a pound cake.

We need to find ounces of nuts per cake.

We can see that  [tex]\frac{1}{16}[/tex] pound of the cake made by [tex]\frac{1}{4}[/tex] ounce of nuts.

We will multiply both side by [tex]16[/tex].

So, [tex]\frac{16\times 1}{16}=1[/tex] pound of cake will be made by [tex]\frac{1}{4}\times 16=4[/tex] ounces of nuts.

So, there are [tex]4[/tex] ounces of nuts there per cake.

A doctor wants to create a graph to highlight the percentages of her patients who are various ages.
The results are below:
Under 20years old:25patients
Age 21 to 40:15patients
Age 41 to 60:23patients
Age 61 to 80:13patients
Over 80: 10 patients
Which graph is the best choice for the doctor to use to represent the data?
A. line graph
B. histogram
C. circle graph
D. box-and-whisker plot

Answers

C. Circle graph
Hope this was any help

Final answer:

A circle graph is the optimal choice for the doctor to represent the patient age percentages.

Explanation:

The best graph for the doctor to represent the percentages of her patients across different age groups is a circle graph. Circle graphs, also known as pie charts, are specifically designed to showcase proportions or percentages of a whole, making them ideal in this scenario.

Sabrina rode on a ferris wheel at the state fair. in one rotation she traveled 778.72 ft. What is the appointment radius of the Ferris wheel? use 3.14 for n

Answers

The radius of ferris wheel is 124 feet

Solution:

Given that, Sabrina rode on a ferris wheel at the state fair

In one rotation she traveled 778.72 ft

To find: Radius of ferris wheel

The distance traveled in one rotation is equal to circumference of circle

Thus circumference of circle is equal to 778.72 feet

The circumference of circle is given as:

[tex]C = 2 \pi r[/tex]

Where, "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14

Substituting, C = 778.72

[tex]778.72 = 2 \times 3.14 \times r\\\\778.72 = 6.28r\\\\r = \frac{778.72}{6.28}\\\\r = 124[/tex]

Thus radius of ferris wheel is 124 feet

An oral surgeon is tracking how many patients were referred to him by various local dentists. In the past year, 5 dentists made the following number of referrals:

9 patients
6 patients
6 patients
5 patients
8 patients

What was the mode of the numbers of referrals?

Answers

The mode is 6 because it repeats

Answer:

The mode is 6.

Step-by-step explanation:

6 is the answer because it is the only number Twice.

Hope this helps!

We are UNIQUE!!!

Asap
Please answer if you know it

The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.) A triangular prism is shown with 2 right triangular sides having legs 8 and 6 and hypotenuse 10. The length of the prism is 8.5

Answers

Answer:

The total surface are is 252 sq. units.

Step-by-step explanation:

The right triangular sides have legs 8 units and 6 units and hypotenuse 10 units.

So, their area will be [tex]2(\frac{1}{2} \times 8 \times 6) = 48[/tex] sq. units.

Now, the length of the prism is 8.5 units.

So, the area along the length will be = (8.5 × 6 + 8.5 × 8 + 8.5 × 10) = 204 sq. units.

Therefore, the total surface area is (48 + 204) = 252 sq. units. (Answer)

Answer:

78

Step-by-step explanation:

hope this helps fucas

Question 8 of 10
2 Points
Dave owns a $250,000 home, for which he has a 30-year mortgage in the
amount of $1300 a month. Once he has paid off the mortgage, how much will
he have paid in interest?
O A. $209,000
O B. $211,000
O c. $241,000
O D. $218,000
SUBMIT

Answers

Answer:D:$218,000

Step-by-step explanation:he owns 1300 monthly on the 30 year mortgage

So for a year he owes

1300*12= 15600 a year

Which will multiply by 30 years

15600*30= $468000 will be all he need to paid to cover is mortgage

To know the interest the needs to pay

Subtract the total amount from the real amount of the house

$468000-$250000= $218,000

Final answer:

Dave will have paid $218,000 in interest on his $250,000 home after making $1300 monthly payments for 30 years. The interest paid is determined by subtracting the original loan amount from the total amount paid over the mortgage term.So,option  D. $218,000 is correct.

Explanation:

The question asks, once Dave has paid off his mortgage, how much will he have paid in interest for a $250,000 home with a 30-year mortgage at $1300 a month. To solve this, first, we calculate the total amount paid over the 30 years, then subtract the principal to find the interest paid.

First, multiply the monthly mortgage payment by the number of months in 30 years: $1300 × (30 × 12) = $468,000.

Next, subtract the original home value (or the principal of the loan) from the total amount paid: $468,000 - $250,000 = $218,000.

Therefore, over the course of 30 years, Dave will have paid $218,000 in interest on his mortgage.

Complete the equation of the line through (3, -1) and (4, 7)​

Answers

Answer:

  y = 8x -25

Step-by-step explanation:

The two-point form of the equation of a line can be used.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7-(-1))/(4-3)(x -3) +(-1)

  y = 8(x -3) -1

  y = 8x -25 . . . . slope-intercept form of the equation

_____

We don't know what you're starting with, so we don't know how to "complete the equation." Perhaps the above equation is sufficient for the task.

HELP!!!
A metalworker has a metal alloy that is 20​% copper and another alloy that is 70​% copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 50​% copper​ alloy?

Answers

Answer:

The metalworker should use 60 kg of metal alloy that is 70% copper and 40 kg of metal alloy that is 20% copper.

Step-by-step explanation:

System of Equations

Let's call  

x=amount of metal alloy that is 20% copper

y=amount of metal alloy that is 70% copper

The metalworker wants to create 100 Kg of 50% copper alloy. This gives us the first relation

x+y=100

The combination of 20% of x and 70% of y will produce 50% of the sum of both, thus

20x+70y=50(x+y)

Operating

20x+70y=50x+50y

Reducing and dividing by 10

2y=3x

The system of equations is easily solved by isolating x in the first equation

x=100-y

And replacing into the last equation

2y=3(100-y)

Operating

2y=300-3y

5y=300

y=60

Thus

x=100-60=40

The metalworker should use 60 kg of metal alloy that is 70% copper and 40 kg of metal alloy that is 20% copper.

Which system of equations could be graphed to solve the equation below? log (2 x + 1) = 3 x minus 2 y 1 = 3 x, y 2 = 2 x y 1 = log (2 x + 1), y 2 = 3 x minus 2 y 1 = log 2 x + 1, y 2 = 3 x minus 2 y 1 = log (2 x + 1 + 2), y 2 = 3 x

Answers

The equations that can be graphed are;

y₁=log(2x+1)  and y₂=3x-2

Step-by-step explanation:

The equation given  is: log (2 x + 1) = 3x-2

The solution to this equation can be found by graphing the separate equations;

(i)y₁= log(2x+1)

(ii)y₂=3x-2

From the graph, the solution is : x= -0.4998 or x= 0.8056

Learn More

Solving logarithmic functions by graphs:https://brainly.com/question/11096185

Keywords: equations,graphed,solve

#LearnwithBrainly

Answer:

The short answer is B.

Quadrilateral ABCD is transformed once to get quadrilateral A'B'C'D'.
The transformation quadrilateral ABCD undergoes is a______

A. Rotation
B. Reflection
C. Translation

Answers

Answer:

B: Reflection

That's the answer.

Question 11 of 12
Flag
<
Prev
Determine if there is enough information to prove that each pair of triangles is congruent by SSS, SAS, or ASA.
Write the congruence statements to justify your reasoning.

Answers

Answer:

By ASA

Step-by-step explanation:

<SVR=<VRT (ALTERNATE ANGLES)

SIDE RV=SIDE RV (COMMON)

<SRV=<TVR (ALTERNATE ANGLES)

So by side angle side postulate both triangles are congruent

Hope u understand

Brainliest?

Step-by-step explanation:

Sorry I'm not too sure about that one, but this video might help, sorry!

https://youtu.be/JtgABYPsv7g

Given (x) - 3x-1 and g(x)=2x-3, for which value of x does g(x) = f(2)?
0910

Answers

Question:

Given f(x) = 3x-1 and g(x)=2x-3, for which value of x does g(x) = f(2)?

Answer:

The value of x is 4 for g(x) = f(2)

Solution:

Given that,

[tex]f(x) = 3x-1\\\\g(x) = 2x - 3[/tex]

We have to find the value of "x" such that g(x) = f(2)

Let us first find f(2)

Substitute x = 2 in f(x) function

[tex]f(x) = 3x-1\\\\f(2) = 3(2) - 1\\\\f(2) = 6 - 1 = 5[/tex]

Thus f(2) is 5

Now find: g(x) = f(2)

Equate given function of g(x) and f(2) which is found to be 5

[tex]g(x) = f(2)\\\\2x - 3 = 5\\\\\text{Move the constants to other side }\\\\2x = 5 + 3\\\\2x = 8\\\\\text{Divide both sides of equation by 4 }\\\\x = 4[/tex]

Thus for x = 4 , we get g(x) = f(2)

factorise the following expressions m²-9n²​

Answers

Answer:

(m - 3n)(m + 3n).

Step-by-step explanation:

This is the difference of 2 squares, so we use the identity:

a^2 - b^2 = (a - b)(a + b).

So m^2 - 9n^2

(m - 3n)(m + 3n).

What is √2323 in simplest form as a radicand and a number outside the radicand

Answers

Since 2323 = 23*101 has no perfect square factors, this means we cannot simplify [tex]\sqrt{2323[/tex] into the form [tex]a\sqrt{b}[/tex]

It seems like your teacher may have made a typo. I would double check with them.

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I'll show you how to simplify a different problem. Let's say we want to simplify [tex]\sqrt{232}[/tex]

Find the prime factorization of the radicand:

232 = 2^3*29

we can rewrite the "2^3" as "2^2*2" to pull out the perfect square factor, which helps us simplify as such:

[tex]\sqrt{232} = \sqrt{2^3*29}[/tex]

[tex]\sqrt{232} = \sqrt{2^2*2*29}[/tex]

[tex]\sqrt{232} = \sqrt{2^2*58}[/tex]

[tex]\sqrt{232} = \sqrt{2^2}*\sqrt{58}[/tex]

[tex]\sqrt{232} = 2*\sqrt{58}[/tex]

For the last two steps I used these square root rules

[tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]

[tex]\sqrt{x^2} = x[/tex] where x is nonnegative

Final answer:

The square root of 2323 in simplest radical form is 29√3, where 29 is the number outside the radicand and √3 is the radicand.

Explanation:

When simplifying the square root of 2323 to its simplest radical form, the goal is to express the square root as a product of a radicand that has no perfect square factors other than 1, and a number outside the radicand, if possible. We start by finding the prime factors of 2323 and look for pairs of prime factors, as pairs will be taken out of the square root as single numbers. Upon factoring 2323, we find that it can be expressed as 2323 = 29 x 29 x 3. Taking the square root of this expression gives us:

√2323 = √(29 x 29 x 3)

Recognizing that 29 is a perfect square, we take the square root of 29 x 29, which gives us 29. The square root of 3 remains inside the radicand since it is not a perfect square:

√2323 = 29√3

Therefore, √2323 in simplest form as a radicand and a number outside the radicand is 29√3.

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