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4 years ago

HELP If (f + g)(x) = 3x2 + 2x – 1 and g(x) = 2x – 2, what is f(x)?

1 answer:

6 0

$(f+g)(x)=f(x)+g(x)\to f(x)=(f+g)(x)-g(x)\\\\We\ have:\\\\(f+g)(x)=3x^2+2x-1\\g(x)=2x-2\\\\substitute\\\\f(x)=(3x^2+2x-1)-(2x-2)=3x^2+2x-1-2x+2=3x^2+1$

Answer: a)3x^2+1

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Which term describes the set of all possible input values for a function?

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Circle O has a circumference of approximately 2501 ft.

yawa3891 [41]

For this case we have that by definition, the circumference of a circle is given by:

$C = \pi * d$

Where:

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According to the data we have to:

$C = 250ft$

Substituting:

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3 years ago

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Solve 2-6(1-x)=6-4(-x-2) for x

OLEGan [10]

Answer:

x = 9

Step-by-step explanation:

Simplifying

2 + -6(1 + -1x) = 6 + -4(-1x + -2)

2 + (1 * -6 + -1x * -6) = 6 + -4(-1x + -2)

2 + (-6 + 6x) = 6 + -4(-1x + -2)

Combine like terms: 2 + -6 = -4

-4 + 6x = 6 + -4(-1x + -2)

Reorder the terms:

-4 + 6x = 6 + -4(-2 + -1x)

-4 + 6x = 6 + (-2 * -4 + -1x * -4)

-4 + 6x = 6 + (8 + 4x)

Combine like terms: 6 + 8 = 14

-4 + 6x = 14 + 4x

Solving

-4 + 6x = 14 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-4 + 6x + -4x = 14 + 4x + -4x

Combine like terms: 6x + -4x = 2x

-4 + 2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0

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-4 + 2x = 14

Add '4' to each side of the equation.

-4 + 4 + 2x = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 2x = 14 + 4

2x = 14 + 4

Combine like terms: 14 + 4 = 18

2x = 18

Divide each side by '2'.

x = 9

Simplifying

x = 9

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3 years ago

An ordinary Fair die is a cube with the number 1 through 6 on the sides (represented by painted spots). imagine that such a die

aleksandrvk [35]

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

sum greater than 7 leaves are the following combinations for 8, 9, 10, 11, and 12:

8 = 26, 35, 44, 51, 62 (5 possibilities)

9 = 36, 45, 54, 63 (4 possibilities)

10 = 46, 55, 64 (3 possibilities)

11 = 56, 65 (2 possibilities)

12 = 66 (1 possibility)

This is a total of 15 possibilities out of 36 total: $\frac{15}{36}$ = $\frac{5}{12}$

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

sum is an even number means both dice are odd or both dice are even. That results in the following combinations:

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