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3 years ago

Find the product. (a2)(2a3)(a2 – 8a + 9)

Mathematics

1 answer:

eimsori [14]3 years ago

3 0

Answer: -72a^3 +108a^2
Collect like terms
(2a)(6a)(2a-8a+9)= (2a)(6a)(-6a+9)=12a^2(-6a+9)
= -72a^3 +108a^2

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the zero-product property and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the second equation and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

1 year ago

Read 2 more answers

What is 8,274 rounded to the nearest thousand

larisa [96]

Answer:ot would be 8000

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!!!!

pychu [463]

Answer:

Parallel

Step-by-step explanation:

They're Parallel because whenever you graph them you see they never touch.

6 0

3 years ago

if the current batch of pills is the first of the day and your goal is to produce a total of 600 what percentage of your goal wi

Zanzabum

Answer:

12.5% ≈ 13%

Step-by-step explanation:

The rest of the question is: There are 75 pills in the batch.

The current batch of pills is the first of the day and our goal is to produce a total of 600.

If there are 75 pills in the batch so percentage of goal completed will be

[(number of pills in the batch)/(Total pills)] * 100

$\frac{75}{600}*100 = 12.5 \%$

≈ 13% to the nearest whole number

7 0

3 years ago

The length of a rectangle is 16 inches. if the width is 25% of its length, what is the perimeter of the rectangle

Leokris [45]

Answer:

Perimeter = 40 inches

Step-by-step explanation:

Length = 16 inches

Width = 25% of length (16)

= 25% of 16

25% = 1/4

Width = 1/4 x 16

= 4 inches

Length = 16 inches

Width = 4 inches

Perimeter of a rectangle = length + length + width + width:

= 16 + 16 + 4 + 4

= 32 + 8

= 40

PERIMETER = 40 inches

So glad I could help :)

4 0

3 years ago