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2 years ago

If f(x) = –2x3, g(x) = 3x – 5, and h(x) = x – 1, what is f(g(h(3)))? –129 –54 –53 –2

Mathematics

1 answer:

sineoko [7]2 years ago

5 0

Answer:

$f(x) = - 2 {x}^{3} \\ g(x) = 3x - 5 \\ h(x) = x - 1 \\ g(h(x)) = 3(x - 1) - 5 \\ = 3x - 3 - 5 = 3x - 8 \\ f(g(h(x)) )= - 2 {(3x - 8)}^{3} \\ f(g(h(3)) )=- 2 {(3(3) - 8)}^{3} \\ = - 2 {(9 - 8)}^{3} \\ f(g(h(3)) )=- 2$

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Write the sum of the numbers as the product of their GCF and another sum.

8090 [49]

Answer:

See explanation

Step-by-step explanation:

1. Find the GCF of 40 and 44:

$40=\underline{2\cdot 2}\cdot 2\cdot 5\\ \\44=\underline{2\cdot 2}\cdot 2\cdot 11\\ \\GCF(40,44)=2\cdot 2=4$

So,

$40+44=4\cdot 10+4\cdot 11=4\cdot (10+11)$

2. Find the GCF of 13 and 52:

$13=\underline{13}\\ \\52=2\cdot 2\cdot \underline{13}\\ \\GCF(13,52)=13$

So,

$13+52=13\cdot 1+13\cdot 4=13\cdot (1+4)$

3. Find the GCF of 15 and 81:

$15=\underline{3}\cdot 5\\ \\81=\underline{3}\cdot 3\cdot 3\cdot 3\\ \\GCF(15,81)=3$

So,

$15+81=3\cdot 5+3\cdot 27=3\cdot (5+27)$

4. Find the GCF of 64 and 28:

$64=\underline{2\cdot 2}\cdot 2\cdot 2\cdot 2\cdot 2\\ \\28=\underline{2\cdot 2}\cdot 7\\ \\GCF(64,28)=2\cdot 2=4$

So,

$64+28=4\cdot 16+4\cdot 7=4\cdot (16+7)$

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3 years ago

Sam is 4 feet and 5 inches tall. if sam grows 11 more inches, what will be his new height?

jok3333 [9.3K]

Sam will be 5 foot 4 inches

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3 years ago

Read 2 more answers

If z varies inversely as w, and z= 3 when w=4, find z when w=2.<br> Z=

vivado [14]

Answer:

Step-by-step explanation:

Inverse proportion.

z = k/w

z = 3, w = 4

Solve for k constant.

3 = k/4

(4)3 = (4)k/4

12=k

The value of k constant is 12.

z = k/w

Put w as 2 and k as 12 and solve for z.

z = 12/2

z = 6

The value of z when w equals 2 is 6.

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3 years ago

I don’t have any questions just giving out some points(: have a good day

aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

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3 years ago

Helppppppppppp please and expalin if you can

Alja [10]

Ugh, more algebra pretending to be geometry. Why?

This is a pretty awful instance of the genre, with no units on the constant 16, assumed to be degrees.

The total arc measure in a circle is 360 degrees. Geometry part over.

3m + 16 + 2m + 3m = 360

8m = 344

m = 344/8 = 43

Arc measures:

Arc 3m+16 = 3(43)+16 = 145°. The angle subtended by that arc is half that, 145/2=72.5°

Arc 2m=2(43)=86°. The angle subtended is half that, 43°

Arc 3m=3(43)=129°. The angle subtended is half that, 64.5°

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4 years ago