All categories

3 years ago

Please Help Me With This problem

Mathematics

1 answer:

evablogger [386]3 years ago

5 0

Answer:

250

Step-by-step explanation:

First, we need to find h°g, which is the same thing as $h(g(x))$

This means that we will take the function $h(x)$ and will replace each instance of x with $x^2+x-6$ as that is the value of $g(x)$

$h(x)=5x\\\\h(g(x))=5g(x)\\\\h(g(x))=5(x^2+x-6)\\\\h(g(x))=5x^2+5x-30$

Now that we have our composed function, we can find the y-value when $x=7$

$h(g(7))=5(7^2)+5(7)-30\\\\h(g(7))=5(49)+35-30\\\\h(g(7))=245+5\\\\h(g(7))=250$

You might be interested in

Please help! <br> Simplify. Your answer should contain only positive exponents.

maxonik [38]

Answer:

$\frac{1}{4k^3}$

Step-by-step explanation:

It's already in a form that only ha positive exponents. Just to state it though you could rewrite it as $k*(4k^{4})^{-1}$ or $k*4^{-1}*k^{-4}$ The question asks for positive exponents though so yu don't need to do that.

You also need to know $\frac{x^a}{x^b}=x^{a-b}$ so in this case $\frac{k}{k^4}=\frac{k^1}{k^4} =k^{1-4}=k^{-3}=\frac{1}{k^3}$

so $\frac{k}{4k^4}=\frac{1}{4}*\frac{k}{k^4}=\frac{1}{4}*\frac{1}{k^3}=\frac{1}{4k^3}$

3 0

3 years ago

Which two segments are a base and its associated altitude of parallelogram QRST?

zloy xaker [14]

B. You don’t exactly need a reason do you?

3 0

3 years ago

Read 2 more answers

Plz help ASAP thxs."..

Sliva [168]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Cindy has 26 nickels. She is getting rolls of nickels from the bank. She has enough money to get up to 10 rolls of nickels and e

Alchen [17]

We know that the domain is actually the number of rolls that she gets because it is the input variable in the equation f (r) = 40 r + 26. The number of rolls that she can get can never be a negative number nor a zero nor a decimal number. However she can only get up to 10 rolls. Therefore the answer is:

all integers from 1 to 10, inclusive

8 0

3 years ago

Maya has 6 feet 6 inches of ribbon with stripes and 8 feet of ribbon with polka dots. What is the total length of ribbon that Ma

maks197457 [2]

Answer: 174in

Step-by-step explanation:

Multiply the feet # by 12 so you get the amount of feet because there are 12 inches in 1 foot.

Finally, add total amount of ribbon and 174inches will be your answer.

6 0

2 years ago

Read 2 more answers