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1 year ago

Given the definitions of f(x) and g(x) below, find the value of f(g(0)).

Mathematics

1 answer:

spayn [35]1 year ago

3 0

Answer:

f(g(0)) = 45

Step-by-step explanation:

to evaluate f(g(0)) , evaluate g(0) then substitute the value obtained into f(x)

g(0) = - 3(0) - 3 = 0 - 3 = - 3 , then

f(- 3) = 2(- 3)² - 5(- 3) + 12

= 2(9) + 15 + 12

= 18 + 27

= 45

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Janet invested $10,000, part at 2% and part at 12%. if the total interest at the end of the year is $600, how much did she inves

Ivan

Janet invested $6000 at 2 %.

Let x = amount invested at 2 %. Then 10 000 - x = amount invested at 12 %

interest at 2 % + interest at 12 % = 600

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0.02x + 1200 – 0.12x = 600

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3 years ago

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4 years ago

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A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people

Anastaziya [24]

Answer:

$\frac{1}{4} lbs/person$

Step-by-step explanation:

Here is the complete question: Find the rate of change for the situation:

A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

Given: 1st situation, A chef cook 9 lbs chicken for 36 people.

2nd situation, chef cook 17 lbs chicken for 68 people.

∴ 1st situation, weight of chicken per person= $\frac{9\ lbs}{36\ person} = \frac{9}{36}$

Weight of chicken per person= $\frac{1}{4} lbs/ person$

2nd situation, weight of chicken per person= $\frac{17\ lbs}{68\ person} = \frac{17}{68}$

Weight of chicken per person= $\frac{1}{4} lbs/ person$

In both the situation chef cook same amount of chicken per person, which is $\frac{1}{4} lbs/ person$

∴ Rate of change is $\frac{1}{4} lbs/ person$

5 0

3 years ago

Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

vitfil [10]

Answer:

(A) $e^2$

(b) $e^{-3}$

(d) $e^3$

Step-by-step explanation:

We have given expression and we have to simplify the expression using exponent property

(A) $(\frac{1}{e})^{-2}$

So $(\frac{1}{e})^{-2}=\frac{1}{e^{-2}}=e^2$

(b) $(\frac{e^5}{e^2})^{-1}$

So $(\frac{e^5}{e^2})^{-1}=(e^{3})^{-1}=e^{-3}$

So $\frac{e^5}{e^3}=e^2$

(d) $\frac{1}{e^{-3}}=e^3$

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3 years ago

Please help me Arithmetic Reasoning

jek_recluse [69]

Step-by-step explanation:

Price of Jeans = $78.35

30% coupon = 30% × $78.35 = $23.51

6% sales tax = 6% × $78.35 = $4.70

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Total cost of jeans = $78.35 - $23.51 + $4.70 + $0.78 = $60.32

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3 years ago