Answer:
b = -6
Step-by-step explanation:
Given:
y=6x+b ----- (eq 1)
and
-3x+1/2y=-3 (Rearrange this equation to look likes eq (1) , add -3x to both sides)
(1/2) y = 3x - 3 (multiply both sides by 2)
y = 2(3x -3) (distribute the 2 into parentheses)
y = 6x - 6 -----(eq 2)
Recall that a system of equations will have an infinite number of solutions if both equations are the same line. (i.e they have the same slope and y intercept)
In our case, if you compare eq 1 and eq 2, the way to make both equations the same line is if b = -6. (this is the answer)
7p²-30p + 8 how do you factor this trinomial
Step-by-step explanation:
7p²-30p+8
=(p-4)(7p-2)
You need at least 5 pounds of potatoes and onions. Potatoes cost $4 per pound and onions $2. You can spend at the most $18.
A. Define the variables
B. Write a system of liner inequalities that represent this situation
C. Graph the system of liner inequalities
D. Is it possible to buy 5 pounds of potatoes and 2 pounds of onions in the situation? Justify your answer
What is the value of c in the equation? 15.3= C/2.1
Answer:
c=32.13
Step-by-step explanation:
The value of C of the equation 15.3= C/2.1 is 32.13.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given equation:
15.3= C/2.1
To find the value of C:
Using cross multiplication,
C = 15.3 x 2.1
Solving,
C = 32.13
Therefore, the value of C = 32.13
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Find the area of the triangle. If necessary, round the answer to two decimal places.
a=14 b=32 c=26
Answer:
A≈177.99
Step-by-step explanation:
what are the solutions of 3 x^2-x+4=0
Answer:
The solution of given equation for x is (0.16 + i 1.14) , (0.16 - i 1.14)
Step-by-step explanation:
Given as :
The quadratic equation is as 3 x² - x + 4 = 0
Since The given equation is quadratic
∵, Standard quadratic equation is ax² + bx + c = 0
Now, x = [tex]\frac{-b\pm \sqrt{b^{2} - 4\times a\times c}}{2\times a}[/tex]
Comparing the equation
i.e x = [tex]\frac{-(-1)\pm \sqrt{(-1)^{2} - 4\times 3\times 4}}{2\times 3}[/tex]
or, x = [tex]\dfrac{1\pm \sqrt{(1-48)}}{6}[/tex]
Or, x = [tex]\dfrac{1\pm \sqrt{(-47)}}{6}[/tex]
Or, x = [tex]\dfrac{1\pm i6.85}{6}[/tex]
Or, x = (0.16 + i 1.14) , (0.16 - i 1.14)
So, The solution of given equation for x = (0.16 + i 1.14) , (0.16 - i 1.14)
Hence, The solution of given equation for x is (0.16 + i 1.14) , (0.16 - i 1.14) . Answer
Please help this paper is due tomorrow (picture included)
Answer: [tex]6+x[/tex]
Step-by-step explanation:
In mathematics, the "Bar models" are used to represent known an unknown quantities and they are very useful to solve problems that involve Addition, Subtraction, Multiplication and Division.
For this exercise you need to analize the data given and observe the bar model provided in the picture attached.
In this case, you can identify two parts in the bar model. These are:
[tex]6[/tex] and [tex]x[/tex]
Then, knowing those parts, you need to find the whole.
You can notice in the bar model that, if you combine (or add) the bars that represent [tex]6[/tex] and the bar that represents [tex]x[/tex], you will obtain the whole bar.
So, you can identify that the bar model represents an Addition.
Therefore, based on the explained before, you can conclude that the algebraic expression shown in the given bar model is the following:
[tex]6+x[/tex]
For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified,
radical form.
b = 9, C = 16
Answer:
a = 5√7 units
Step-by-step explanation:
Let's find the value of a, using the Pythagorean Theorem, this way:
c = Hypotenuse = 16
a² = c² - b²
a² = 16² - 9²
a² = 256 - 81
a² = 175
√a² = √175
a = √25 * 7
a = 5 √7 units
what is the slope of the following function
Answer:
0
Step-by-step explanation:
Because the equation of this graph is y=-1, where this graph's slope is 0 and the y-intercept is -1.
4x−4y
−9x−4y
=−2
=−3
Answer:
(1 / 13 , 0.5769)
Step-by-step explanation:
I hope that I solved it correctly
the numbers are a bit ugly though
Are the ratios 3:7 and 1:2 equivalent
Answer: No
Step-by-step explanation:
Finding equivalent ratios is just like finding equvalent fractions.
For Example: 3/6 = 1/2 that also means 3:6 will equal 1:2
Good Luck!
If $1 US Dollars is equivalent to .1278 chinese yuan, convert $13,000 to yuan
Answer:
1661.4
Step-by-step explanation:
13000 x 0.1278=1661.4
If $1 US Dollars is equivalent to .1278 Chinese yuan, converting $13,000 to yuan gives us: 1,661.4 yuan
How to carry out currency conversion?A currency's exchange rate is defined as the value of one currency in relation to another currency,
We are told that the exchange rate is expressed as:
$1 US Dollars is equivalent to 0.1278 chinese yuan
We can rewrite this as:
0.1278 chinese yuan = $1 US Dollars
Thus:
$13000 = (13000 * 0.1278)/1
= 1,661.4 yuan
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A rectangular closet is 4 feet long and 5 feet wide. What is its area?
Answer:
4x5=20 20 feet is the area
Step-by-step explanation:
(20 POINTS)How to find it and what the answer is I need it by 1/27/2020 8:30PM
Answer:
13
Step-by-step explanation:
It's a famous "triple" for triangle lengths.
It's helpful to memorize: 5, 12, 13.
It works because of the reliable pythagorean theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]5^{2} + 12^{2} = 13^{2}[/tex]
Answer:
The missing side length is 13
Step-by-step explanation:
Use Pythagorean Theorem
5 squared + 12 squared = x squared
25 + 144 = x squared
169 = x squared
13 = x
What is another equation for y=3/4x+4 so it has many solutions
Answer:
3x-4y=-16
Step-by-step explanation:
Is this answer right!
Answer:
Yes! You are correct!! Just add the unit ($).
Step-by-step explanation:
Although this question was asked a while ago, it's better to leave it answered rather than leaving it unanswered.
In this question, we are told that Carl earned $25 from mowing lawns on Friday. Carl also earned some amount of money from raking leaves for 3 hours. In the end, he spends 12 dollars on the movies. We need to find out how much money he has left.
Since he earns 6 dollars an hour for raking leaves, we can multiply $6 by 3 hours to get $18 for raking leaves for 3 hours.
We can add this to his earnings on Friday, which will get us $43 as his total balance.
He then spends 12 dollars, so we subtract 12 from 43. This means Carl will only have $31 left.
Hence, your answer is correct! Just don't forget the unit. Have a great day!!! :)
two different type of teas are sold in your store. If you know 100 cups of tea were sold and one type sold 5 times as much as the other type,how much of each type of tea were sold
We know there is a total of 100 cups of tea sold and that there are two types of teas involved.
x = tea 1
y = tea 2
We can set up two equations and use substitution to solve:
x + y = 100 cups of tea sold total
One of the teas sold 5 times as much as the other. Let's believe that this was tea 1:
x = 5y (5 times as much means multiplication, and 'other' means y)
If x = 5y, then this must be true for the first equation. So we'll test this by plugging it in:
5y + y = 100
6y = 100
y = about 16.67
Now we can use this number to solve for x in the original equation:
x + 16.67 = 100
x = 83.33
HEEEEEELP MEEE PLEASEEEE ;(
If There is a math equation you can use math-way.
Also it would help if you can take a better picture.
Once you take a better picture I promise i will try my best to answer the question.
Answer:
2 books cause if the total is around 49 dollars 21 is rounded to be half
Step-by-step explanation:
The radius of a cylindrical gift box is (3x+4) inches. The height of the gift box is three times the radius. What is the surface area of the cylinder? Write your answer as a polynomial in a standard form.
The surface area of the cylindrical gift box given radius (3x+4) and height 3 times the radius, when calculated and simplified, results in the polynomial[tex]6\pi x^2 + 24\pi x + 32\pi[/tex] in standard form.
Explanation:The surface area of a cylinder is calculated by the formula 2πr(h + r), where r is the radius and h is the height of the cylinder. Given the radius r = 3x+4 and the height h = 3*r which is 3*(3x+4), you can substitute these values into the formula. So, the surface area, A = 2π(3x+4)[3*(3x+4) + (3x+4)].
Simplifying, we get A = 6πx(3x+4)+8π*(3x + 4). This can be further simplified into [tex]A = 6\pi x^2 + 24\pi x + 32\pi[/tex], which is the surface area of the cylinder in terms of the variable x in standard form.
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Select all the correct answers.
Which statements are true about the x-intercepts of quadratic functions?
An x-intercept of a quadratic function is also called a zero of the function.
All quadratic functions have exactly one x-intercept.
An x-intercept is located at the point on the function where the value of x is 0.
If x= a is an x-intercept of a quadratic function, then (x + a) is a factor of the functi
A quadratic function can have up to two x-intercepts.
Submit
For the statements option, A and E is correct about the x-intercepts of quadratic functions.
What is a quadratic function?A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. It is also known as the polynomial of degree 2 since the second-degree term is the greatest degree term in a quadratic function. At least one term in a quadratic function must be of the second degree. It has algebraic properties.
Given statements about the x-intercepts of quadratic functions,
the expression of a quadratic function is given by,
ax² + bx + c = 0
the values of x are the zeroes of the quadratic functions, which is also known as the x-intercept.
since the degree of the polynomial is 2 so there will be at least two values for the x-intercept.
the x-intercept is the point on the x coordinate where the value of y is zero.
and let x = a be an x-intercept so the factor of function is (x - a).
Hence options A and E are correct.
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10. If the sum of the measures of the interior
angles of a polygon is 5400º, how many sides
does it have?
Answer: 32 sides
Step-by-step explanation:
Formula for interior angle of a polygon = ( n - 2 )180°, where n is the number of sides of the polygon
Now equate the formula to 5400°
( n - 2 ) × 180° = 5400°
open bracket by multiply by 180°
180n° - 360° = 5400°
180n° = 5400° + 360°
180n° = 5760
n = ⁵⁷⁶⁰/₁₈₀
n = 32
so the polygon has 32 sides
Find the volume. Round your answer to the nearest hundredth.
7.7 m
5.3 m
4.2 m
a. 45.01 m3
b. 17.27 m3
c. 171.40 m
d. None of these
if the sales tax rate is 8.25% how much is a $24 item?
Answer:
try this $25.98
Can I get the correct answer for this please.
Lorrie is playing a board game. She started her playing piece five spaces from the starting circle. During the remainder of the game, she advanced only one space per turn. Which of the following shows how the number of spaces, y, changes as the turn, x, changes
Answer:
D.W
Step-by-step explanation:
4x+3=-5 helppp please
Answer: x = -2
Step-by-step explanation: To solve for x, in the equation you see here, our goal is to get x by itself.
Our first step will be to isolate the term containing x which in this case is 4x. To isolate 4x, we have to get rid of the +3 by subtracting 3 from both sides of the equation. On the left, +3 and -3 cancel out and we're left with 4x. On the right, -5 - 3 simplifies to -8.
Now we have the equation 4x = -8.
To get x by itself, we divide both sides of the equation by 4. On the left, the 4's cancel and on the right, -8 divided by 3 is -2 so x = -2
x = -2
Explanation:4x + 3 = −5
Step 1: Subtract 3 from both sides
4x + 3 − 3 = −5 − 3
4x = −8
Step 2: Divide both sides by 4
4x / 4 = -8 / 4
x = -2
1 Point
The table shows the results of a student survey done by the chef at a school
cafeteria. What is the probability that one of these students is male and
dislikes peas?
Likes peas
Dislikes peas
Total
Male
58
42
100
Female
64
36
100
Total
122
78
200
O
O
O
A. 21%
B. 29%
c. 42%
Answer:
Step-by-step explanation:
the anser is A
The probability that one of these students is male and dislikes peas would be 32 %.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We can find using the given information.
We have the number of female students that like peas is 64, and the total number of students is 200. That gives us the following fraction.
64/200
Now, turn this into a percentage by making the denominator 100. Which is done by dividing the numerator and denominator each by 2, since the denominator is 100.
32/100 = 32%
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What is 4/7 devided by 6/7
Answer:
0.66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Solve the rational equation quantity 3 times x plus 2 end quantity divided by 5 equals quantity 2 times x minus 1 end quantity divided by 3.
x = 1
x = 3
x = 6
x = 11
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
Given the equation
[tex]\dfrac{3x+2}{5}=\dfrac{2x-1}{3}[/tex]
You can interpret this equation as proportion.
Cross multiply:
[tex]3(3x+2)=5(2x-1)\\ \\9x+6=10x-5\ [\text{Use distributive property}]\\ \\9x-10x=-5-6\\ \\-x=-11\\ \\x=11[/tex]
Final answer:
The rational equation (3x + 2)/5 = (2x - 1)/3 simplifies to 9x + 6 = 10x - 5, which further simplifies to x = 11 after rearranging and combining like terms.
Explanation:
To solve the rational equation (3x + 2)/5 = (2x - 1)/3, we first find a common denominator to eliminate the fractions. Multiplying each side of the equation by the common denominator of 15, we get 9x + 6 = 10x - 5. Subtracting 9x from both sides and adding 5 gives us x = 11. Therefore, the correct solution to the given equation is x = 11.
HELP ME ASAP I NEED TO KNOW LOL
Answer:
The range would be (-infinity,infinity)
Step-by-step explanation:
Range is the y values. And the y values are going up and down forever to infinity and negative infinity
The population of a city doubles during the workday. At the end of the workday, the population decreases
by half. If the population of the city is roughly 4,000,000 people before "rush hour," and the morning rush
hour actually lasts 3 hours, what would be the population 12 hours after the start of rush hour if the
population continued to double every 3 hours? People leave the city for home at the same rate as they
come into the city. If there are 8,000,000 people in the city during the workday, what would be the
population 12 hours after the start of the evening rush hour, which lasts 3 hours, if the population continued
to be cut in half every 3 hours?
The population 12 hours after the start of rush hour, which lasts 3 hours and the population doubles every 3 hours, would be 64,000,000 people. The population 12 hours after the start of the evening rush hour, which lasts 3 hours and the population is cut in half every 3 hours, would be 500,000 people.
Explanation:To calculate the population 12 hours after the start of rush hour, which lasts 3 hours, we need to find the number of doubling periods that occur within that time frame. Since the population doubles every 3 hours, there are 12/3 = 4 doubling periods.
Each doubling period results in the population doubling, so if the population starts at 4,000,000 people, after 4 doubling periods it would be 4,000,000 × 2⁴ = 64,000,000 people.
To calculate the population 12 hours after the start of the evening rush hour, which lasts 3 hours and the population is cut in half every 3 hours, we need to find the number of halving periods that occur within that time frame. Since the population is cut in half every 3 hours, there are 12/3 = 4 halving periods.
Each halving period results in the population being cut in half, so if the population starts at 8,000,000 people, after 4 halving periods it would be 8,000,000 × (1/2)⁴ = 500,000 people.
8 15 27 blank 20 what is the blank number
Answer:
50?
Step-by-step explanation:
8+12+27=50
1+3+4=8
The missing numbers in the sequence are 10 and 17. The complete sequence is 8, 10, 15, 20, 26, 33, 17, following an alternating difference pattern.
To find the missing numbers in the sequence, let's observe the pattern between the given numbers:
8, __, 15, 20, 26, 33, __
Looking at the differences between consecutive terms, we notice the following pattern:
15 - 8 = 7
20 - 15 = 5
26 - 20 = 6
33 - 26 = 7
We see that the differences alternate between 7 and 5. So, following this pattern, the missing numbers should continue this alternating difference.
The missing numbers are:
8 + 7 = 15
15 - 5 = 10
10 + 7 = 17
So, the missing numbers are 10 and 17.
Therefore, the sequence is: 8, 10, 15, 20, 26, 33, 17.
Complete Question:
What are the missing numbers in the sequence 8 __ , 15 ,20 ,26 ,33 ,__?