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3 years ago

If g (x) =x 1/x-2 and h(x) = 4 – x, what is the value of (g*h)(-3)?

1 answer:

4 0

G(x) = (x + 1)/(x - 2) and h(x) = 4 - x
(g * h)(x) = (x + 1)(4 - x)/(x - 2)
(g * h)(-3) = (-3 + 1)(4 - (-3))/(-3 - 2) = (-2)(4 + 3)/(-5) = (-2)(7)/(-5) = -14/-5 = 2.8

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Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that

UNO [17]

Answer:

$\large\boxed{y+5=\dfrac{2}{3}(x-4)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

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Parallel lines have the same slope.

We have the equation in the slope-intercept form (y = mx + b)

$y=-\dfrac{2}{3}x+8\to m=\dfrac{2}{3}$

Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):

$y-(-5)=\dfrac{2}{3}(x-4)\\\\y+5=\dfrac{2}{3}(x-4)$

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3 years ago

Gregory’s age is 5 years greater than of Amanda’s age. Gregory is 17 years old. If Amanda’s age is denoted by x, which equation

Mariana [72]

Let Amanda's age = x.
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Since Gregory is 17 years old.
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Amanda is 12 years old.

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3 years ago

Are these lines parallel explain?

nata0808 [166]

Answer: Yes

Step-by-step explanation: hope it helps

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2 years ago

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A. 1/30 of the cookbook

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Leroi and Sylvia both put $200 in a savings account. Leroi decides he will put in an additional $40 each week. Sylvia decides to

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Answer:

First deposit - Same amount

Second deposit - Sylvia

Third deposit - Sylvia

Step-by-step explanation:

Leroi put $200 in their account. They will add $40 every week.

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Deposit 2: $280

Deposit 3: $320

Sylvia put $200 in their account. They will add 20% of the amount in the account each week.

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Deposit 3: $345.60 (20% of $288 is $57.60)

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3 years ago