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3 years ago

Evaluate the expression -8x + 5 - 2x - 4 + 5x when x = 2 before and after simplifying.

Mathematics

2 answers:

umka2103 [35]3 years ago

7 0

Answer:

-9

Step-by-step explanation:

Alex777 [14]3 years ago

5 0

Answer:

Step-by-step explanation:

all we have to do is plug in 2 for x into the equation:

-8(2) + 5 -2(2) -4 + 5(2)

-16 + 5 -4 -4 + 10

-11 -8 + 10

-19 + 10

the answer is

-9

to simplify the equation we’ll combine like terms

-8x + 5 -2x -4 + 5x

-10x + 1 + 5x

-5x + 1

now we’ll plug in 2 for x

-5(2) + 1

-10 + 1

the answer is still

-9

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Answer: a) 138.32 and b) 35 years approx.

Step-by-step explanation:

Since we have given that

$R(t)=21.4e^{0.13t}\\\\C(t)=18.6e^{0.13t}$

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$Profit=R(t)-C(t)\\\\Profit=21.4e^{0.13t}-18.6e^{0.13t}\\\\Profit=e^{0.13t}(21.4-18.6)\\\\Profit=2.8e^{0.13t}$

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$P(30)=2.8e^{0.13\times 30}\\\\P(30)=2.8\times 49.40\\\\P(30)=138.32$

(b) How long before the profit found in part (a) is predicted to double? (Round your answer to the nearest whole number.) years after 1990.

So, profit doubles , we get :

$138.32\times 2=2.8e^{0.13t}\\\\276.65=2.8e^{0.13t}\\\\\dfrac{276.65}{2.8}=e^{0.13t}\\\\98.80=e^[0.13t}\\\\\ln 98.80=0.13t\\\\4.593=0.13t\\\\\dfrac{4..593}{0.13}=t\\\\35.33=t$

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