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melisa1 [442]
4 years ago
14

If f(x) = -2x² +1 and g(x) = 3x, evaluate f(x)+ g(x) for x = 2.دیوانهده​

Mathematics
1 answer:
zepelin [54]4 years ago
6 0

Answer:

- 1

Step-by-step explanation:

f(x) + g(x) = - 2x² + 1 + 3x = - 2x² + 3x + 1

Substitute x = 2 into the expression for f(x) + g(x)

= - 2(2)² + 3(2) + 1 = - 8 + 6 + 1 = - 1

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Three tanks,A,B,C are used to store oil. Tank A contains 'n' litres of oil. Tank B contains (n+150) litres of oil. Tank C is emp
elena-14-01-66 [18.8K]
Before Transferring oil to Tank C :
Tank A = n
Tank B = n + 150
Tank C = 0

Total = n + n + 150 
Total = 2n + 150

After transferring some oil to Tank C, each of the tank has the same amount.
Each tank = (2n + 150) ÷ 3 = 2/3 n + 50

500ml was transferred from tank A to Tank C:
n - (2/3n + 50) = 500
n - 2/3n - 50 = 500
1/3n = 550
n = 1650 ml

----------------------------------------------------------------------------------------
Answer: The value of n is 1650.
----------------------------------------------------------------------------------------

Check:
Before Transfer: 
Tank A = n = 1650
Tank B = n + 150 = 1650 + 150 = 1800
Tank C = 0

Total = 1650 + 1800 = 3450ml

After transfer:
Each tank = 3450 ÷ 3 
Each tank = 1150

Tank A before transfer = 1650
Tank A after transfer = 1150
1650 - 1150 = 500 (checked)

7 0
3 years ago
If f(x) = 3x - 1 and g(x) = x + 2, find (f+g)(x).
kirill115 [55]

Answer:

\boxed {\boxed {\sf A. \ 4x+1}}

Step-by-step explanation:

We are asked to find (f+g)(x). The question is essentially asking us to find the sum of f(x) and g(x).

(f+g)(x)=f(x)+g(x)

We know that f(x) equals 3x-1 and g(x) equals x+2. Substitute the values of the functions in.

(f+g)(x)=(3x-1)+(x+2)

Combine the like terms.

  • 3x and x are like terms (both have the variable "x"
  • -1 and 2 are like terms (both without variables, also known as constants)

(f+g)(x)=(3x+x)+(-1+2)

(f+g)(x)=(4x)+(1)=4x+1

(f+g)(x) is equal to <u>4x+1</u> and the correct answer is A.

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3 years ago
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Answer:

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Step-by-step explanation:

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The area of a rectangular picture frame is 93.5 square inches. The area formula for a rectangle is A=l⋅w. Write and solve an equ
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Answer:

W=A/L

Step-by-step explanation:

If the area of the rectangle is L*W, you can just rearrange the equation A=L*W to get W=A/L, an equivalent equation.

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