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3 years ago

Lf g(x) = x3 - 5 and h(x) = 2x - 2, find g(h(3)).

Mathematics

1 answer:

White raven [17]3 years ago

7 0

Answer: g(h(3)) = 59

Step-by-step explanation:

Well if its x^3 I assume it is because you wrote other coefficients before the variable.

2(3) - 2 = 6-2 = 4

So 4 is the x input for h(x)

4^3 -5 = 64-5 = 59

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2 years ago

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2 years ago

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A concession stand vendor counts the money in the register. after 2 h it has $82.75. after 6 h is has $ 360.75. how much money w

Volgvan

I believe the answer would be c. $499.75. If you take (360.75-82.75)/(6-2) you get 278/4 which is dollars/hour, and that =69.5 so the rate of increase is $69.50 per hour, therefore if 6 hours produced $360.75 then you +$69.50•2(hours) and get $499.75

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3 years ago

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

bija089 [108]

Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

b) 5314

c) ln 2.7

d) 4.6 hrs

<u>Step-by-step explanation:</u>

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

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3 years ago

a probability experiment consists of fair eight sided die find the probability of rolling number greater than 4

Lunna [17]

Answer:

Probability[Number greater than 4] = 1/2

Step-by-step explanation:

Given:

Total side of die = 8

Find:

Probability[Number greater than 4]

Computation:

Number greater than 4;

[5,6,7,8]

Total number greater than 4 = 4

Probability[Number greater than 4] = Total number greater than 4 / Total side of die

Probability[Number greater than 4] = 4 / 8

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3 0

3 years ago