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3 years ago

Solve the system by substitution y = 6x -24 y = -2x

Mathematics

2 answers:

Katen [24]3 years ago

8 0

Answer: x = 3, y = -6

Step-by-step explanation:

Substitute the y into the equation to get -2x=6x-24

8x=24 so x = 3. Then plug x=3 into the second equation to get y = -6

kap26 [50]3 years ago

4 0

Plug second equation into first
-2x = 6x - 24
Subtract 6x from both sides
-8x = -24, x = 3
Plug 3 for x in second equation
y = -2(3), y = -6
Final answer: x = 3, y = -6

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Are the two lines parallel, perpendicular, or neither?

RideAnS [48]

Graph 1 neither

Graph 2 neither

Graph 3 perpendicular

Graph 4 parallel

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3 years ago

In many fast food restaurants, there is a strong correlation between a menu item's fat content (measured in grams) and its calor

Kruka [31]

Answer:

1. The slope of the least-squares regressin line is 11.364

2. The intercept of the least-squares regression line is 204.343

3. The residual corresponding to this observation is -10 calories

Step-by-step explanation:

1. In order to calculate the slope of the least-squares regressin line we would have to use the following formula:

slope of the least-squares regressin line=r*sy/sx

Therefore, slope=0.979*324.90/27.99

slope=11.364

2. In order to calculate the intercept of the least-squares regression line we would have to use the following formula:

intercept of the least-squares regression line=ybar - slope*xbar

intercept=662.88 - 11.364*40.35

intercept=204.343

3. In order to calculate the the residual corresponding to this observation we would have to use the following formula:

residual = observed y - predicted y

predicted y=11.364*x + 204.343

if the x value is 7, therefore predicted y=11.364*107 + 204.343

predicted y=1,420

Therefore, residual=1410 calories - 1420 calories

residual=-10 calories

8 0

3 years ago

A shipment of sugar fills 14 containers. If each container holds 2 1/4 tons of sugar, what is the amount of sugar in the entire

SashulF [63]

You would do 14*2 1/4 so that would be 31.5

7 0

3 years ago

Read 2 more answers

The rectangle below has an area of 1 8 x 3 18x 3 square meters and a length of 2 x 2 2x 2 meters.

motikmotik

Answer:

$\text{The width of rectangle}=9x\text{ meters}$

Step-by-step explanation:

We have been given that the rectangle has an area of $18x^3$ square meters and a length of $2x^{2}$ . We are asked to find the width of rectangle.

Since we know that area of a rectangle is width times length of the rectangle, so we can find width of our given rectangle by dividing given area by length of rectangle.

$\text{Area of rectangle}=\text{Width of rectangle *Length of the rectangle}$

$\frac{\text{Area of rectangle}}{\text{Length of rectangle}}=\frac{\text{Width of rectangle *Length of the rectangle}}{\text{Legth of rectangle}}$

$\text{The width of rectangle}=\frac{\text{Area of rectangle}}{\text{Length of rectangle}}$

Upon substituting our given values in above formula we will get,

$\text{The width of rectangle}=\frac{18x^3\text{ meter}^2}{2x^2\text{ meters}}$

$\text{The width of rectangle}=\frac{9x^3\text{ meters}}{x^2}$

Using exponent rule for quotient $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\text{The width of rectangle}=9x^{3-2}\text{ meters}$

$\text{The width of rectangle}=9x^{1}\text{ meters}=9x\text{ meters}$

Therefore, width of our given rectangle will be 9x meters.

3 0

3 years ago

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Tcecarenko [31]

<span>The nonpermissible replacement for the variable x in this expression is x = 2

Substituting x = 2 yields:

(2)^2/(2(2)-4)

4/0, which is undefined.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>

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3 years ago