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2 years ago

Evaluate the composition of functions.

Mathematics

1 answer:

valina [46]2 years ago

7 0

Answer:

Step-by-step explanation:

Fill in each function's argument and do the arithmetic.

$h(g(f(\sqrt{10})))=h(g(2(\sqrt{10})^2-7))=h(g(2\cdot 10-7))=h(g(13))\\\\=h(\dfrac{4-13}{9})=h(\dfrac{-9}{9})=h(-1)\\\\=\sqrt{-(-1)+3}=\sqrt{4}=\boxed{2}$

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For the simple linear equation below, what is the y-coordinate of the ordered pair when the x-coordinate is −5?

NARA [144]

Answer:

-9

Step-by-step explanation:

7 0

2 years ago

Translate the sentence into an equation.

GREYUIT [131]

Answer:

3* (b+9) = 4

Step-by-step explanation:

b is the unknown number

Three times the sum of a number and 9 is 4.

3* (b+9) = 4

5 0

2 years ago

If there are 30 flower bouquets, 4/5 of the bouquets are daises, the rest are tulips. How many bouquets are tulips?

erastova [34]

Answer:

6 bouquets of tulips

Step-by-step explanation:

<h2>first find out the number of daisies.. </h2>

this is 4/5 * 30

= 24

there are 24 daises...

now to find the number of tulips are:

30 - 24 = 6

there a 6 bouquets of tulips.

4 0

2 years ago

Read 2 more answers

Let p=x^2-2 which equation is equivalent to (x^2-2)^2+18=9x^2-18 in terms of p

Bad White [126]

Answer:

The equivalent equation is $p^2 + 18 = 9p$

Step-by-step explanation:

p is given by the following relation:

$p = x^2 - 2$

And we are given the following equation:

$(x^2 - 2)^2 + 18 = 9x^2 - 18$

On the right side, we can simplify. So

$(x^2 - 2)^2 + 18 = 9(x^2 - 2)$

Replacing $x^2 - 2$ by p, the equation is:

$p^2 + 18 = 9p$

6 0

2 years ago

PLS HELP ITS A MAJOR GRADE AND DUE TOMORROW

Alexus [3.1K]

Answer:

*See below*

Step-by-step explanation:

Identify and Explain Error

The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.

Correct Work/Solution

$55 to rent

$0.50 per mile

Let's start by removing $55 from $150 to see how many dollars is left over for gas.

150 - 55 = 95

Then, divide 95 by 0.5

95 ÷ 0.5 = 190

He can drive at least 190 miles.

Share Strategy

Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.

Note:

Hope this helps :)

Have a great day!

7 0

2 years ago