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3 years ago

Which expression us equivalent to this polynomial expression?

Mathematics

1 answer:

Zolol [24]3 years ago

8 0

Answer:

D. 4a³ + 24ab² - 25b³

Step-by-step explanation:

Simplify the given polynomial expression to find its equivalent as follows:

(2a - 3b)(2a² + 6b²) + (6a²b + 12ab² - 7b³)

2a(2a² + 6b²) -3b(2a² + 6b²) + (6a²b + 12ab² - 7b³)

4a³ + 12ab² - 6a²b - 18b³ + 6a²b + 12ab² - 7b³

Collect like terms

4a³ - 6a²b + 6a²b + 12ab² + 12ab² - 18b³ - 7b³

4a³ + 24ab² - 25b³

Therefore, 4a³ + 24ab² - 25b³ is equivalent to the polynomial expression, (2a - 3b)(2a² + 6b²) + (6a²b + 12ab² - 7b³).

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Question 2 of 10

Kruka [31]

Answer:

Step-by-step explanation:

Its A

im pretty sure yah!!

7 0

1 year ago

What is the equation of a line that passes through the points (-3, 4) and (2,8)?

ziro4ka [17]

Given that the line passes through the two points (-3,4) and (2,8)

We need to determine the equation of the line.

<u>Slope:</u>

The slope of the line can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (-3,4) and (2,8) in the above formula, we get;

$m=\frac{8-4}{2+3}$

$m=\frac{4}{5}$

Thus, the slope of the line is $m=\frac{4}{5}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (-3,4) and $m=\frac{4}{5}$ in the above formula, we have;

$y-4=\frac{4}{5}(x+3)$

$y-4=\frac{4}{5}x+\frac{12}{5}$

$y=\frac{4}{5}x+\frac{12}{5}+4$

$y=\frac{4}{5}x+\frac{32}{5}$

Thus, the equation of the line is $y=\frac{4}{5}x+\frac{32}{5}$

6 0

3 years ago

Jordan throws a ball from a cliff 12 feet above the ground with an initial velocity of 32 feet per second. In the following func

lbvjy [14]

Answer:

Your answer will be the third function

Step-by-step explanation:

The base function you need to know is h(t)= 1/2at^2

Your acceleration in this problem is going to be gravity which they give to you, 32 feet per second squared. Since the ball is falling, it means it will have negative acceleration. Now you have the equation h(t)= -16t^2. The final step is to add the initial height from which the ball was dropped giving you: h(t)= -16t^2 +12

8 0

3 years ago

A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th

fredd [130]

Answer:

Initial height or what the ball was originally bounced from a height of 9 feet

Step-by-step explanation:

9 represents the height that the ball was originally bounced from.

If you plug in 0 for $n$ into $f(n)=9(0.7)^n$ , you get: