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3 years ago

Which expression represents the composition [g o f o h](x) for the functions below?

Mathematics

1 answer:

spayn [35]3 years ago

7 0

Answer:

$5(15x-4)^3$

Step-by-step explanation:

$f(x) = 5x - 4$

$g(x) = 5x^3$

$h(x) = 3x$

$(gofoh)(x)=g(f(h(x)))$

Replace h(x) first

$g(f(h(x)))=g(f(3x))$

Now we plug in 3x in f(x)

$g(f(h(x)))=g(f(3x))=g(5(3x)-4)=g(15x-4)$

Now we plug in 15x-4 in g(x)

$g(f(h(x)))=g(f(3x))=g(5(3x)-4)=g(15x-4)=5(15x-4)^3$

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the scientists collection that as granite that weighs 74 26/36 lbs, marble that weighs 63 16/34 lbs, and quartz that weighs 81 9

ipn [44]

Answer:

Step-by-step explanation:

Given the weight of granite to be 74 26/36 lbs,

Weight of quartz is 81 9/40 lbs.

To know how much more quartz weight than the granite, we will take the difference between the weight of quartz and granite as shown.

Weight of quartz - Weight of granite

= 81 9/40 - 74 26/36

= 3,249/40 - 2690/36

= (29, 241 - 26,900)/360

= 2,341/360

= 6 181/360

≈ 6 1/2 lbs

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7 0

3 years ago

Solve the following proportion Start Fraction x over 2 End Fraction equals Start Fraction 8 over 9 End Fraction (1 point) 144 0.

daser333 [38]

Answer:

1.78

Step-by-step explanation:

$\frac{x}{2} = \frac{8}{9}$

To solve for x we need to cross multiply it

We have = sign inbetween the fractions so we cross multiply it

9*x = 2* 8

9x = 16

Now we divide by 9 on both sides

$x= \frac{16}{9}$

so x= 1.7777777778

When we round to two decimal places then

x= 1.78

3 0

4 years ago

12 and 1/2 + 1 and 5/8

ki77a [65]

Answer: 14 1/8

Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions $\frac{1}{2}$ and $\frac{5}{8}$ and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.