If h(x) = x – 7 and g(x) = x2, which expression is equivalent to(g*h)(5)? a (5 – 7)2, b (5)2 – 7, c (5)2(5 – 7), d (5

kvasek [131]

When you are multiplying an exponent directly into a number/variable with an exponent, you multiply the exponents together.

For example:

$(x^{2} )^{3} = x^6$

$(x^{3} )^5=x^{15}$

When you are multiplying a variable with an exponent by another variable with an exponent, you add the exponents together.

For example:

$(x^{2} )(x^{3})=x^{5}$

$(x^{1} )(x^{2})=x^{3}$

$(\frac{(x^{-3})(y^{2})}{(x^{4})(y^{6})} )^{3}=\frac{(x^{-9})(y^{6})}{(x^{12})(y^{18})}$

You multiply 3 into each exponent in the numerator and the denominator

$\frac{(x^{-9})(y^{6})}{(x^{12})(y^{18})}= \frac{y^{6}}{(x^{9})(x^{12})(y^{18})}$

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

$\frac{y^{6}}{(x^{21})(y^{18})} = \frac{1}{(x^{21})(y^{12})}$

When you have something like this:

$\frac{x^{2}}{x^5}$

You subtract the exponents together, so:

$\frac{x^2}{x^5} = x^{2-5} = x^{-3} = \frac{1}{x^3}$

Your answer is the second option

3 0

3 years ago

How many quarts of paint if wall is 10 feet long and 8 feet tall and want to cover 50 square feet?

finlep [7]

300 quarts i think
ok

4 0

3 years ago

2 6/7 x 2 4/5 asnwer

zhannawk [14.2K]

8

20/7 times 14/5 = 8

7 0

3 years ago

Which situation can be represented by the inequality 4x − 25 < 125?

GaryK [48]

First add 25 to both sides of the inequality.
You get 4x < 150
Now divide both sides by 4.
You get x < 37.5
So x can be anything less than 37.5, such as 36, 35 or 34.

8 0

3 years ago

An electronics store makes a profit of $72 for every standard CD player sold and $90 for every portable CD sold. the managers ta

Alisiya [41]

s -> no: of standard CD players sold

p -> no: of portable CD players sold.

Profit Per Standard CD player=72$

Profit per Portable CD player =90$

Target Amount =360$

In short: The combined sales of Both the CD player's must exceed or atleast become equal to 360$ to acquire the target.

Thus; the inequality can be stated as:

 72(s) + 90(p) ≥360

-> 36(s) + 45(p) ≥180

-> 12(s) +15(p) ≥ 90

 _______________

->| 4(s) + 5(p) ≥ 30 |

Hope it helps...

Hope it helps...Regards;

Hope it helps...Regards;Leukonov/Olegion.

8 0

3 years ago

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to(g*h)(5)? a (5 – 7)2, b (5)2 – 7, c (5)2(5 – 7), d (5 – 7)x2