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2 years ago

Which of the following is equivalent to (x^2 − 9)(x + 2) − (x^2 + 4x + 4)(x − 5)?

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

7 0

The correct answer is D.

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A line is drawn so that it passes through the points (-3, -1) and (4, 2).

marishachu [46]

Answer:

(A) $\boxed{\bold{y=\frac{3}{7}x+\frac{2}{7}}}$

(B) $\boxed{\bold{2 \ = \ \frac{3}{7} * \ 4 \ + \ \frac{2}{7} }}$

Explanation:

(A) Slope: y = mx + b

m = 3/7

b = 2/7

Slope = $\bold{\frac{y_2-y_1}{x_2-x_1}}$

$\bold{\left(x_1,\:y_1\right)=\left(-3,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:2\right)}$

M = $\bold{\frac{2-\left(-1\right)}{4-\left(-3\right)}: \ \frac{3}{7} }$

Y intercept

$\bold{y=\frac{3}{7}x+b}$

Plug in $\bold{\left(-3,\:-1\right)\mathrm{:\:}\quad \:x=-3,\:y=-1}$

$\bold{-1=\frac{3}{7}\left(-3\right)+b}$

Isolate B

$\bold{-1=\frac{3}{7}\left(-3\right)+b}$

b = $\bold{\frac{2}{7} }$

(B) 4 = x, 2 = y

2 = 3/7 * 4 + 2/7

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3 years ago

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Len [333]

Answer:

x=3

Step-by-step explanation:

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2 years ago

The quotient of the square of a number and 7

slega [8]

Answer:

(x/7)

x= quotient of a number

7= the denominator of x

8 0

2 years ago

65%of 186 = show how you did it so i can learn how to do it please

Natali [406]

It is pretty simple
All you have to do is multiply 186 times .65 which you get 120.9
So that's all you have to do

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3 years ago

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Which inequality is equivalent to 7x-2y>8?

Crazy boy [7]

$7x-2y\ \textgreater \ 8 \\ 7x-8 \ \textgreater \ 2y /:2 \\ \frac{7}{2} x -4\ \textgreater \ y \\ y\ \textless \ \frac{7}{2} x-4$

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3 years ago