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2 years ago

H (t) = 2t - 2 g(t) = 4t + 5 Find (h(g(t))

Mathematics

1 answer:

ASHA 777 [7]2 years ago

5 0

Answer:

$h(g(t))=8t+8$

Step-by-step explanation:

We are given the two functions:

$h(t)=2t-2\text{ and } g(t)=4t+5$

And we want to find:

$h(g(t))$

So, by substitution, we acquire:

$h(g(t))=2(4t+5)-2$

Distribute:

$h(g(t))=8t+10-2$

Simplify:

$h(g(t))=8t+8$

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3 years ago

Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a

nordsb [41]

Answer:

$4.12=2.45c+1.65c$

Step-by-step explanation:

We are given,

Cameron buys 2.45 pounds of apple and 1.65 pounds of pears.

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Since, the total cost after using a coupon is $4.12.

So, we get the equation representing the situation is,

Total cost = Total cost of apples + Total cost of pears.

i.e. $4.12=2.45c+1.65c$

i.e. $4.12=4.1c$

i.e. $c=\frac{4.12}{4.1}$

i.e. c = 1 dollar

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2 years ago

Complete the statement below to explain how this model shows that 1/3÷1/5=5/3

Galina-37 [17]

To divide by a fraction, multiply by the reciprocal of that fraction.

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3 years ago

Solve for x

Mademuasel [1]

Answer:

x = 9

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Given

$11^{x}$ = $11^{4}$ × $11^{5}$ = $11^{(4+5)}$ = $11^{9}$

Since the bases on both sides are common, then equate the exponents

x = 9

4 0

2 years ago

H (t) = 2t - 2 g(t) = 4t + 5 Find (h(g(t)) ​

H (t) = 2t - 2 g(t) = 4t + 5 Find (h(g(t))