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3 years ago

If f (x) = -3x +4 and g (x)= x squared, find (g*f) (-2)

1 answer:

6 0

The easiest way to do this is to work out f(-2) first, =-3(-2)+4=10, then find g(-2)=(-2)²=4.
(g*f)(-2)=4×10=40.
However, if g*f means g of f the answer is different, because having worked out that f(-2)=10 we put this result into g, so we find g(10)=10²=100.
So you need to determine whether g*f means g(x)×f(x) [answer 40] or g(f(x)) [answer 100] when x=-2.

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A freight carrier charges $0.57 for the first ounce plus an additional $0.32 for every

Rzqust [24]

Answer:

2.2084384 in cents, and 22.084384 in dollars

Step-by-step explanation:

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First we'd like to figure out how much we have after calculating the weight left over after charging for the first ounce.

7.90137-1=6.90137

Multiply by .32, and you've got your sum in cents; 2.2084384‬

Divide this by 0.1 and you've got it in dollars; 22.084384

7 0

3 years ago

“Peaches at the Farmer’s Market cost $2.70 per pound.”

koban [17]

Answer:

non-proportional

Step-by-step explanation:

3 0

3 years ago

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X=(y)/(y-3) make y the subject

Liula [17]

Answer:

$\displaystyle y=\frac{3x}{x-1}$

Step-by-step explanation:

<u>Solving Equations</u>

We have the expression:

$\displaystyle x=\frac{y}{y-3}$

And it's required to make y the subject.

It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.

The first step is removing the denominator by multiplying both sides by y-3:

$\displaystyle (y-3)x=(y-3)\frac{y}{y-3}$

Simplifying the right side:

$\displaystyle (y-3)x=y$

Remove the parentheses:

$yx-3x=y$

Move the y's to the left side and the rest of the expression to the right side:

$yx-y=3x$

Factor out y:

$y(x-1)=3x$

Divide by x-1:

$\mathbf{\displaystyle y=\frac{3x}{x-1}}$

7 0

2 years ago

The number of subscribers to a streaming video service doubles each week.

Ilya [14]

Answer:

Step-by-step explanation:

This is an exponential equation that is solved by taking the natural log of both sides. The equation is

$f(x)=2^x$

If we are looking for x when f(x) = 64, then

$64=2^x$

Take the natural log of both sides:

$ln(64)=ln(2^x)$

The rules of logs allows us to bring the x down in front:

$ln(64)=xln(2)$

Divide both sides by ln(2) to get:

$\frac{ln(64)}{ln(2)}=x$

Do this on your calculator to get that x = 6.

You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.

5 0

3 years ago

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A man is four times as old as his son. 10 years later, the man will be three times as old as his son. What is the man’s current

kvasek [131]

Answer:

The son is 20 and the father is 80.

Step-by-step explanation:

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2 years ago

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