know factors and roots? please help me!!!!\

Know Factors And Roots? Please Help Me!!!!\

Answers

Answer 1

Answer:  b) (2m³ - 4p⁵)(2m³ + 4p⁵)

Step-by-step explanation:

Use the difference of a square formula: a² - b² = (a - b)(a + b)

[tex]4m^6 - 16p^{10}\\\bullet a) \sqrt{4m^6}=2m^3\\\bullet b)\sqrt{16p^{10}}=4p^5[/tex]

(2m³)² - (4p⁵)² = (2m³ - 4p⁵)(2m³ + 4p⁵)


Related Questions

Which word best describes the range of a function? input output independent relation

Answers

the range is the set of y values, so it would be the output of the function

Answer:

Output

Step-by-step explanation:

A function takes values of x (the horizontal axis on a plane)and returns the corresponding values of y (the vertical axis on a plane).

Thus, the values we get for y depends on the value of x.

The x's values that we give in a function are called the domain, and the values that the function returns to us are called the range of the function (the y's).

So a word that describes the range of a function well is that the range is the output of the function. Because the range is the set of values that the function returns to us when we plug an x value.

please help
1. f(x)=3(2)^x
2. f(x)=2(3)^x
3. f(x)=3(1/2)^x
4. f(x)=2(1/3)^x

Answers

Answer:

C. f(x)=3(1/2)^x

Step-by-step explanation:

standard form of a function is f(x)=ab^x

a should be 3, or the y value where the x value is 0

the b value is 1/2 because that's the rate of change

the perimeter of a triangle below is 6a + 2b -5 units. write expression to represent the length in units , of the missing side of the triangle

2a-3b
a-3

As are know sides.

Answers

P=s1+s2+s3 so...
6a+2b-5=(2a-3b)+(a-3)+s3
6a+2b-5=3a-3b-3+s3
3a+5b-2=s3

So the third side is 3a+5b-2

The Eagle Club wants to build a chain of 2,505 dominoes. If they have already set up 807 dominoes, how many more do they need to add to meet their goal?

Answers

Answer:

1698

Step-by-step explanation:

Answer:

They would need 1698 dominoes to complete the chain.

Step-by-step explanation:

all you would do is subtract 2,505 by 807 and you would get the same answer.

In order to solve for the variable in the equation Mikel first applies the distributive property. Which equation is a result of this step?

Answers

Answer:

1 - x - 2 + 2x = 10x - 25 - x

Step-by-step explanation:

We have the expression: 1 - (x+2) + 2x = 5(2x - 5) - x

Applying the distributive property we get:

1 - x - 2 + 2x = 10x - 25 - x

So, the following equation is the result of that step: 1 - x - 2 + 2x = 10x - 25 - x

Answer:

The equation is:

[tex]1-x-2 + 2x = 10x-25-x[/tex]

Step-by-step explanation:

The distributive property says that

[tex]c(a+b) = ac + bc[/tex]

In this case we have the following equation

[tex]1-(x+2) + 2x = 5(2x-5)-x[/tex]

Then apply the distributive property as shown below

[tex]1-1*x-1*2 + 2x = 5*2x-5*5-x[/tex]

Now simplify the expression

[tex]1-x-2 + 2x = 10x-25-x[/tex]

So the equation that results after applying the distributive property is:

[tex]1-x-2 + 2x = 10x-25-x[/tex]

x + y = k
2x + 3y = k + 1
The point of intersection of the lines has an x-coordinate of

A.2k + 1
B.-2k + 1
C.2k - 1

Answers

Answer: Yes A is correct

Step-by-step explanation:

Multiply the first equation by 3...

2x+3y=k+1 needs to be subtracted by 3x+3y=3k

which equals -x=-2k-1

Then you can multiply the equation by -1 to make them all positive. Resulting in x=2k+1

Final answer:

The correct option is c.

To solve the given simultaneous linear equations x + y = k and 2x + 3y = k + 1 using the elimination method, multiply the equations by suitable constants to eliminate one variable. The values of x and y in terms of k are x = 2k - 1 and y = 1 - k.

Explanation:

To solve the given simultaneous linear equations x + y = k and 2x + 3y = k + 1 using the elimination method, we can eliminate one variable by multiplying the equations by suitable constants. Let's multiply the first equation by 2 and the second equation by -1 to eliminate x.

2x + 2y = 2k

-2x - 3y = -k - 1

Adding these equations together, we get:

2y - 3y = 2k - (k + 1)

-y = k - 1

Multiplying both sides by -1:

y = 1 - k

Substituting this value of y back into the first equation:

x + (1 - k) = k

x = 2k - 1

So, the values of x and y in terms of k are x = 2k - 1 and y = 1 - k.

Learn more about Solving simultaneous linear equations here:

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Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3). m = = = The slope is . What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.

Answers

Answer:

She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex](x2,y2)=(-7,4)[/tex]

[tex](x1,y1)=(2,-3)[/tex]

Substitute the values

[tex]m=\frac{4+3}{-7-2}[/tex]

[tex]m=\frac{7}{-9}[/tex]

[tex]m=-\frac{7}{9}[/tex]

therefore

She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values

Answer:

C

Step-by-step explanation:

PLS HELP OMG
-
what is the best estimate of a 20% tip if you ordered a meal that cost $29.35?

Answers

Answer:

5.87

Step-by-step explanation:

29.35/x=100/20

(29.35/x)*x=(100/20)*x       - we multiply both sides of the equation by x

29.35=5*x       - we divide both sides of the equation by (5) to get x

29.35/5=x

5.87=x

x=5.87

Answer:

$5.87

Step-by-step explanation:

20% = 20/100 = 1/5

hence 20% tip,

= 20% of the total cost

= 1/5 x $29.35

= $5.87

In the game of blackjack played with one​ deck, a player is initially dealt 2 different cards from the 52 different cards in the deck. A winning​ "blackjack" hand is won by getting 1 of the 4 aces and 1 of 16 other cards worth 10 points. The two cards can be in any order. Find the probability of being dealt a blackjack hand. What approximate percentage of hands are winning blackjack​ hands?

Answers

Answer:

[tex]P =4.83\%[/tex]

Step-by-step explanation:

First we calculate the number of possible ways to select 2 cards an ace and a card of 10 points.

There are 4 ace in the deck

There are 16 cards of 10 points in the deck

To make this calculation we use the formula of combinations

[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]

Where n is the total number of letters and r are chosen from them

The number of ways to choose 1 As is:

[tex]4C1 = 4[/tex]

The number of ways to choose a 10-point letter is:

[tex]16C1 = 16[/tex]

Therefore, the number of ways to choose an Ace and a 10-point card is:

[tex]4C1 * 16C1 = 4 * 16 = 64[/tex]

Now the number of ways to choose any 2 cards from a deck of 52 cards is:

[tex]52C2 =\frac{52!}{2!(52-2)!}[/tex]

[tex]52C2 = 1326[/tex]

Therefore, the probability of obtaining an "blackjack" is:

[tex]P = \frac{4C1 * 16C1}{52C2}[/tex]

[tex]P = \frac{64}{1326}[/tex]

[tex]P = \frac{32}{663}[/tex]

[tex]P =0.0483[/tex]

[tex]P =4.83\%[/tex]

Answer:

Probability = 0.0483

Percentage = 4.83%

Step-by-step explanation:

We know that a blackjack hand played with one deck consists of:

1 of the 4 aces = [tex]\frac{4}{52}[/tex]

So 1 out of the 16 cards worth 10 points will be equal to = [tex]\frac{16}{52}[/tex]

Finding the probability of getting a blackjack hand assuming that the cards were not replaced:

P (blackjack hand) =  P(1st ace) × P(2nd 10 point card) +  P(1st 10 point card) × P(2nd ace)

P (blackjack hand) = [tex]\frac{4}{52} \times \frac{16}{51} + \frac{16}{52} \times \frac{4}{51}[/tex] = 0.04827

Percentage of getting blackjack hand = 4.83%

The difference between three times a number and seven is twenty. What is the number?

Answers

Answer:

9

Step-by-step explanation:

(9*3) = 27 which is 20 more than 7

Answer: 9

Step-by-step explanation:

Rewrite without parentheses and simplify.
(6w+7)

Answers

Answer:

6w + 7

Step-by-step explanation:

There is nothing to simplify. Just remove the parentheses.

Help me I need to pass so I can go on to the next thing plz someone help me​

Answers

Answer:

The scale factor is 2

Step-by-step explanation:

AB -->A'B' : enlargement , scale factor is greater than 1

From QA to QA' : 1.25 to 2.5 so the ratio is 1:2

The scale factor is 2

What is the length of the hypotenuse of the triangle?

Answers

Answer:

8.1 ft

Step-by-step explanation:

hyp² = side² + side²

hyp² = 7² + 4²

hyp² = 49 + 16

hyp² = 65

hyp = sqrt of 65

hyp = 8.1 ft

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Answer:

[tex]\large\boxed{\sqrt{65}\ ft}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=4ft,\ leg=7ft,\ hypotenuse=AB[/tex]

Substitute:

[tex]AB^2=4^2+7^2\\\\AB^2=16+49\\\\AB^2=65\to AB=\sqrt{65}[/tex]

The value of k so that the sequence k-1, k+3, 3k-1 forms an arithmetic progression is?​

Answers

Answer:

k = 4.

Step-by-step explanation:

An arithmetic sequence has a common difference.

So for this to be arithmetic:

k + 3 - (k - 1) = 3k - 1 - (k + 3)

k + 3 - k + 1 = 3k - 1 - k - 3

3 + 1 = 2k - 4

4 + 4 = 2k

k = 4.

The sequence is  3, 7, 11.

Write twenty billion,one million thirty thousand and one as a number

Answers

Answer:

20,001,030,001

For this case we must express the following phrase in numerical form:

"twenty billion, one million thirty thousand and one as a number"

twenty billion is equivalent to [tex]20,000,000,000[/tex]

one million equals [tex]1,000,000[/tex]

thirty thousand equals [tex]30,000[/tex]

one equals 1

Then, we can express:

[tex]20,001,030,001[/tex]

Answer:

20,001,030,001

Add -4/y + (-7/8y).

please help

Answers

Answer:

-39/8y

Step-by-step explanation:

-4/y(2)+(-7/8y)

Which pair of spheres are congruent?
R and S
R and T
S and T

Answers

Answer:

S and T

Step-by-step explanation:

I put R&T, that's wrong. It's S and T.

The pair of spheres are congruent is S and T.

What is congruence?

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

As, per the given figure,

Figure R having a radius 3.

Figure S is having a radius 4

Figure T is having radius 4

So, by considering the property of congruence figure S and T will be congruent spheres.

Learn more about congruence here:

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Multiply.
(x2 - 5x)(2x + x-3)

Answers

Hi there! My name is Zalgo and I am here to help you out today. When you multiply (x2-5x) (2x+x-3), you will get 3x^3-18x^2+15x.

I hope that this info helps! :)

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me Brainliest? I'd greatly appreciate it! Thank you! XP)

What is the value of x in the equation 3x -1/9
y = 18, when y = 27?
5
7
45 63

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

we have

[tex]3x-\frac{1}{9}y=18[/tex]

Substitute the value of y=27 in the equation and find the value of x

so

[tex]3x-\frac{1}{9}(27)=18[/tex]

[tex]3x-3=18[/tex]

[tex]3x=18+3[/tex]

[tex]3x=21[/tex]

[tex]x=7[/tex]

Is abc~def? If so, identify the similarity postulate or theorem that applies.

Answers

Answer:

Similarity cannot be determined ⇒ answer D

Step-by-step explanation:

* Lets revise the cases of similarity

1) AAA similarity : two triangles are similar if all three angles in the first

  triangle equal the corresponding angle in the second triangle

- Example : In ΔABC and ΔDEF, m∠A = m∠D, m∠B = m∠E and

 m∠C= m∠F then ΔABC ≈ ΔDEF by AAA

2) AA similarity : If two angles of one triangle are equal to the

   corresponding angles of the other triangle, then the two triangles

   are similar.

- Example : In ΔPQR and ΔDEF, m∠P = m∠D, m∠R = m∠F then

  ΔPQR ≈ ΔDEF by AA

3) SSS similarity : If the corresponding sides of two triangles are

   proportional, then the two triangles are similar.

- Example : In ΔXYZ and ΔLMN, if [tex]\frac{XY}{LM}=\frac{YZ}{MN}=\frac{XZ}{LN}[/tex]

  then the two triangles are similar by SSS

4) SAS similarity : In two triangles, if two sets of corresponding sides

   are proportional and the included angles are equal then the two

   triangles are similar.

- Example : In triangle ABC and DEF, if m∠A = m∠D and [tex]\frac{BA}{ED}=\frac{CA}{FD}[/tex]

  then the two triangles are similar by SAS

* Now lets solve the problem

- In the triangles ABC and DEF

∵ m∠B = m∠E = 105°

∵ AB/DE = 16/4 = 4

∵ AC/DF = 36/9 = 4

∴ AB/DE = AC/DF = 4

∴ The two pairs of sides are proportion

∵ ∠B and ∠E are not the including angles between the sides AB , AC

  and DE , DF

∵ We could not find the including angles from the information of the

  problem

∴ We cannot prove the similarity

* Similarity cannot be determined

Answer:

D- can't be determined

Step-by-step explanation:

a p e x work

2 and 3 are
angles.
complementary
vertical
congruent
supplementary

Answers

Answer:

supplementary

Step-by-step explanation:

Angles 2 and 3 form a straight line.  Straight lines are supplementary

Answer:

Supplementary

Step-by-step explanation:

1 and 2 are vertical along with 3 and 4 they can't be complementary non of them form right angles but supplementary is a straight line making 180 degrees.

–42 ÷ (–6) a.–252 b.–7 c. 7 d. 252

Answers

Answer:

a negative multiplied or divided by negative is positive. if its adding or subtracting it takes sign of the bigger number. and it dividing so the number is not going to get bigger. so its positive 7

[tex]\text{Hey there!}[/tex]

[tex]\text{Since, both of your terms (-42 and -6) are negative, we know that your answer}[/tex] [tex]\text{will most likely be a POSITIVE number}[/tex]

[tex]\text{Because. negative \& negative makes positive!}[/tex]

[tex]\text{-42}\div\text{(-6)}=\dfrac{-42}{(-6)}=42\div6=7[/tex]

[tex]\boxed{\boxed{\text{Answer: C. 7}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Which pair of lines is parallel? A. y=4x+1 and y+4=5 B. y=-2+x and 2y-2x=-2 C. y=1/4x + 2 and y-2=1/2x D. y=1/5x+1 and 5y+x= 10

Answers

Answer:

B. y=-2+x and 2y-2x=-2

Step-by-step explanation:

Two lines are parallel if they have the same slope.

The equation 0of a line is tipically written as y=mx + b, where 'm' represents the slope and 'b' the y-intercept.

Let's evaluate each of the options:

A. y=4x+1 and y+4x=5

Writing the equations in the slope-intercept form, we get:

y=4x+1 → m=4

y=5-4x → m=-4

Given that they have different slopes, they are not parallel.

B. y=-2+x and 2y-2x=-2

Writing the equations in the slope-intercept form, we get:

y=-2+x → m=1

y=-1 + x → m=1

Given that the equations have the same slope, they are parallel.

C. y=1/4x + 2 and y-2=1/2x

Writing the equations in the slope-intercept form, we get:

y=1/4x + 2  → m=1/4

y=1/2x+2 → m=1/2

Given that they have different slopes, they are not parallel.

D. y=1/5x+1 and 5y+x= 10

Writing the equations in the slope-intercept form, we get:

y=1/5x+1 → m=1/5

5y+x= 10 → y=2 - 1/5x → m=-1/5

Given that they have different slopes, they are not parallel.

Find measure jk
Answers are 52, 128, 154 & 180

Answers

Answer:

b. 128°

Step-by-step explanation:

arc LJ = 2 (26) = 52°

arc KL = 180° (half circle)

so

arc JK = 360° - (arc LJ + arc KL)

arc JK = 360° - 232°

arc JK = 128°

Answer

b. 128°

Pls help. Ignore the orange around one of the choices.

Answers

The temperature started at -12 degrees then increases by 8 degrees. This means that you can make an expression to solve this like so...

-12 + 8

When adding a positive number with a negative number you will act as if you are subtracting the two numbers, then take the sign of the largest number. In this case the largest number is 12 and its sign is negative. Your answer will  have a negative sign.

Act as if you are subtracting...

12 - 8 = 4

Take the sign of  the largest number (12)

-4 (third option)<<<This is the temperature now.

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

-4F

Step-by-step explanation:

We start at -12

We rise 8

-12 +8

-4

We will then be at -4

A truck can be rented from company A for $40 a day plus $0.30 per mile. Company B charges $20 a day plus $0.70 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B are the same.

Answers

Despite different rental costs, the rental costs for company A and company B will be the same, after 50 miles.

To solve this, we need to set up an equation based on their pricing structures and solve for the number of miles.

Let m represent the number of miles driven. The cost for company A would be $40 + $0.30m, and the cost for company B would be $20 + $0.70m.

We set these two expressions equal to each other to find the breakeven point:

$40 + $0.30m = $20 + $0.70m

Subtracting $0.30m from both sides gives us:

$40 = $20 + $0.40m

Next, we subtract $20 from both sides:

$20 = $0.40m

Dividing both sides by $0.40, we get:

m = 50

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Answers

Answer:

A=280in^2

Step-by-step explanation:

3*3=9

A=2LW+2WH+2LH

A=2(8*4)+2(4*9)+2(8*9)

A=2(32)+2(36)+2(72)

A=64+72+144

A=280in^2

take 25% off the original. now take off an additional 10% and calculate the new sales cost of this item. what is your total percent of savings?​

Answers

x = original price, or 100%

if we take off 25% from 100% what's left is 75%, that's the discounted price.

let's then take 10% of that.

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{75\% of "x"}}{\left( \cfrac{75}{100} \right)x\implies 0.75x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{10\% of 0.75x}}{\left( \cfrac{10}{100} \right)0.75x\implies 0.075x}~\hfill \stackrel{\textit{total percent savings}}{0.75x-0.075x\implies 0.675x} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{changing that to percent format}}{0.675\cdot 100\implies 67.5\%}[/tex]

Austin has $80 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will he have in 2 years?

Answers

p= 80( 1+ 0.05/1) ^2(1)
p= 88.2

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will 5x-3y>15 have a solid line

Answers

Answer:

The inequality [tex]5x-3y >15[/tex] have a dashed line

Step-by-step explanation:

we have

[tex]5x-3y >15[/tex]

The solution of this inequality is the shaded area below the dashed line

The equation of the dashed line is [tex]5x-3y=15[/tex]

The slope of the dashed line is positive

The y-intercept of the dashed line is -5 ---> point (0,-5)

The x-intercept of the dashed line is x=3 ----> point (3,0)

Graph the solution

see the attached figure

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