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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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write a function that transforms f(x)=2^3+4 in the following way: stretch vertically by a factor of 6 and shift 5 units left.

maksim [4K]

Answer:

f(x) = 2x3 + 4

Stretch vertically be a factor of 2:

f(x) = 2*2x3 + 4 = 4x3 + 4

Shift 5 units to the left:

f(x) = 4(x+5)3 + 4

8 0

1 year ago

The standard form 0. 00293768 is

aleksandrvk [35]

Answer:

$0.00293768 \\ \frac{293768}{100000000} \\ 2.93768 \times {10}^{ - 3}$

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2 years ago

Read 2 more answers

David, Egil and Frances share money in the ratio 2:7:9. Frances gets ?80 more than David. Explain how you know Egil gets ?80.

Natalija [7]

Step-by-step explanation:

We have been given that David, Egil and Frances share money in the ratio 2:7:9.

Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.

We are told that Frances gets $80 more than David. So we can write this information in an equation as:

$9x=2x+80$

Now let us solve for x.

$9x-2x=80$

$7x=80$

$x=\frac{80}{7}$

Now let us substitute $x=\frac{80}{7}$ in 7x (amount of money that Egil gets).

$\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}$

Upon cancelling out 7 from numerator and denominator we will get,

$\text{ Amount of money that Egil will get}=80$

Therefore, Egil will get $80.

6 0

3 years ago

What are two steps are necessary to put this equation into standard form x^2 - 3x + 27 =8x- 3

Wittaler [7]

Answer:

you need to bring the 8x over then the -3

Step-by-step explanation:

X^2-3x+27=8x-3

X^2-11x+27=-3

x^2-11x+24

Is that what you are looking for??

Hope that helps feel free to ask more questions

Brainliest??

7 0

3 years ago

Plz help if you can<br> Thank ya

koban [17]

Answer:

$90\pi$

Step-by-step explanation:

The first step is to find the slant height of the cone. Using the pythagorean theorem, you can find that $\sqrt{12^2+5^2}=13$ cm. Plugging this into the equation, you get $\pi \cdot 5 \cdot 13=90\pi$ . Hope this helps!

3 0

2 years ago