<u>Answer </u>
B. f(x) = - (y/x)⁵
<u>Explanation</u>
A negative power means the reciprocal of that number raised to the positive value .
For example, a⁻ⁿ = 1/aⁿ
So, for the question above.
f(x) = -(x/y)⁻⁵
= - 1/(x/y)⁵
= - (y/x)⁵
Theres 12 inches in a foot. So 12x8=96
The surface area of the cylinder is 18.84 square feet
<h3>How to determine the surface area?</h3>
The given parameters are
Height, h = 2 ft
Diameter, d = 2 ft
The radius (r) is half of the diameter (d)
This is calculated as:
Radius = Diameter/2
So, we have:
r = d/2
Substitute 2 for d
r = 2/2
Evaluate the quotient i.e. divide 2 by 1
r = 1
The surface area is then calculated using the following formula
A = 2πr² + 2πrh
Substitute the given values in the above equation
So, we have:
A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2
Evaluate the exponents
A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2
Evaluate the products
A = 6.28 + 12.56
Evaluate the sum
A = 18.84
Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet
Read more about surface area at:
brainly.com/question/2835293
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To find the x-intercept, put in 0 for the y.
0=1/4x-2
2=1/4x
8=x
The x-intercept is 8. The point is (8, 0).
To find the y-intercept, put in 0 for the x.
y=1/4(0)-2
y=0-2
y=-2
The y-intercept is -2. The point is (0, -2).
To graph, find the points on a coordinate plane and draw a straight line through them.
Hope this helps!
To do this, complete the square:
p(x) = 21 + 24x + 6x2 => <span>p(x) = 6x2 + 24x + 21
Rewrite the first 2 terms as
6(x^2 + 4x)
then you have </span><span>p(x) = 6(x2 + 4x ) + 21
Now complete the square of x^2 + 4x:
p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21
p(x) = 6(x+2)^2 - 3 this is in vertex form now.
We can read off the coordinates of the vertex from this: (-2, -3)</span>
