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3 years ago

Find f(-2) for f(x) = 2(4)x . will give brainliest for correct answer

Mathematics

1 answer:

Serhud [2]3 years ago

8 0

Answer:

Step-by-step explanation:

This questions asks use to find what f(x) or y is, when x is equal to -2.

So, substitute -2 in for x in the equation.

f(x)=2(4)^x

f(-2)=2(4)^-2

Evaluate the exponent. Negative exponents follow this rule:

b^-x= 1/b^x

We have 4^-2. This will become 1/4^2 or 1/16

f(-2)=2(1/16)

Multiply

f(-2)=2/16

This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.

f(-2)=2/2 / 16/2

f(-2)= 1/8

The correct choice is D. 1/8

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2 years ago

A circle has the center of (1,-5) and a radius of 5 determine the location of the point (4,-1)

Sliva [168]

"determine the location" or namely, is it inside the circle, outside the circle, or right ON the circle?

well, we know the center is at (1,-5) and it has a radius of 5, so the distance from the center to any point on the circle will just be 5, now if (4,-1) is less than that away, is inside, if more than that is outiside and if it's exactly 5 is right ON the circle.

well, we can check by simply getting the distance from the center to the point (4,-1).

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3 years ago

The Bigtown football team outscored its opponents 5:2 last season. If their opponents scored 38 points, how many points did Bigt

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3 years ago

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The point (2, 3) is on the line given by which equation below?

love history [14]

Plug in the points and see if y and x are equal to each other.

(2,3)
y= x-1
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3= 1 (not the solution)

y=3x
3=3*3
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y=x+1
3=2+1
3=3 (solution) We can check to make sure.

y=-3x
3=-3*3
3=-9 (not the solution)

y=x+1 <em>is the answer.
</em>
I hope this helps!
~kaikers

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3 years ago

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Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.

lakkis [162]

$\sf 5x+2y=21$
$\sf -2x+6y=-34$

We could solve for 'x' in the 2nd equation and then plug that into the first equation for 'x' and solve for 'y':

$\sf -2x+6y=-34$

Subtract 6y to both sides:

$\sf -2x=-6y-34$

Divide -2 to both sides:

$\sf x=3y+17$

Plug in 3y + 17 for 'x' in the first equation:

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$\sf 5(3y+17)+2y=21$

Distribute 5:

$\sf 15y+85+2y=21$

Combine like terms:

$\sf 17y+85=21$

Subtract 85 to both sides:

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Divide 17 to both sides:

$\boxed{\sf y\approx -3.8}$

This is the y-coordinate of the solution.

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3 years ago

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Find f(-2) for f(x) = 2(4)x . will give brainliest for correct answer ​

Find f(-2) for f(x) = 2(4)x . will give brainliest for correct answer