All categories

3 years ago

Which expression is equivalent to the given expression? (-6ab)2

Mathematics

1 answer:

Maksim231197 [3]3 years ago

5 0

Answer:

B. 36a^2b^2

Step-by-step explanation:

1. Apply exponent rule: (-a)^n = a^n, if n is even

(-6ab)^2 = (6ab)^2

(6ab)^2

2. Apply exponent rule: (a × b)^n = a^nb^n

(6ab)^2 = 6^2a^2b^2

6^2a^2b^2

3. 6^2 = 36

36a^2b^2

In other words, your answer is B.

You might be interested in

A flagpole has a height of 10 yards. It will be supported by 3 cables, each of which is attached to the flagpole at a point 4 ya

Contact [7]

Pytagorean theorem

height10
attached at 10-4=6 yards from bottom
8 yards from base to away

a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c

so
6=height
8=base

6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c

so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30

30 yards needed

7 0

3 years ago

Afirm will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items produced

s2008m [1.1K]

Cost function, $C(x)=300+15x$

Revenue function, $R(x) = 30x$

Profit function, $P(x)=15x-300$

Break point $x=20$ .

Fixed cost $=$ $ $300$ .

Variable cost $=$ $ $15$ .

Price of item $=$ $ $30$ .

Let $x$ be the number of items produced and sold.

a) Cost function $=$ Fixed cost $+$ variable cost \times number of items

So, $C(x)=300+15x$

b) Revenue $=$ Price of an item $\times$ number of items

So, $R(x) = 30x$

c) Profit $=$ Revenue $-$ Cost

$P(x)=R(x)-C(x)$

$P(x)=30x-300-15x$

$P(x)=15x-300$

d) <u>Break even point</u> $R(x)=C(x)$

$30x=300+15x$

$30x-15x=300$

$15x=300$

$x=20$ .

So, the product should be produced for $20$ or more items.

Learn more about cost function here:

brainly.com/question/13129990?referrer=searchResults

8 0

2 years ago

PLEASE ANSWER ILL MARK BRAINLIEST!!! (30 POINTSS) The swimming pool at Spring Valley High School is a rectangle with a width of

Step2247 [10]

Answer:

You could try to do it side by side then the area x side.

Step-by-step explanation:

Sorry if it is not much help, hope you figure it out!

8 0

2 years ago

Evaluate 7a -5b when a=5 and b=4

abruzzese [7]

Answer:

Step-by-step explanation:

plug in the numbers to the equation

7(5)+5(4)=55

6 0

3 years ago

What combination of transformation is shown below ?

Simora [160]

Answer:

When an object has been transformed, its image can again be transformed to form a new image. Such transformation is called a combination of transformations. After a combination of transformations, the change from the single object to the final image can be described by a single transformation.

Step-by-step explanation:

I hope it's help u :)

8 0

3 years ago