The sample proportion is a point estimate of the population proportion. Therefore we need to convert the given percentage to a decimal fraction to find the best point estimate.
35/100 = 0.35
The best point estimate is 0.35.
The vertex of f(x) = 3x^2 + 12x − 8 is (2,28) absolute minimum
<h3>How to determine the vertex?</h3>
The equation is given as:
f(x) = 3x^2 + 12x − 8
Differentiate the function
f'(x) = 6x + 12
Set to 0
6x + 12 = 0
Divide through by 6
x + 2 = 0
Solve for x
x = -2
Substitute x = -2 in f(x) = 3x^2 + 12x − 8
f(2) = 3 *2^2 + 12 *2 − 8
Evaluate
f(2) = 28
This means that the vertex is (2,28)
A quadratic function is represented as:
f(x) =ax^2 + bx + c
When a is positive, then the vertex of the function is an absolute minimum.
This means that f(x) = 3x^2 + 12x − 8 has an absolute minimum vertex because 3 is positive
Read more about quadratic functions at:
brainly.com/question/18797214
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C - 11 /9 = 9
Multiply both sides by 9
c - 11 = 81
add 11 to each side to isolate c
c = 81 + 11 = 92
Area of polygon ABCDE will be summation of all the areas of triangle = 7.95 + 9.8 + 8.75 = 26.5 square units.
The factored form is (y^2+9)(y^2-9).
Plug the two terms into the equation by finding the root of both.
√y^4= y^2
√81= 9
From here, you plug the terms into the form (x+y)(x-y)
(y^2+9)(y^2-9)
Hope this helps!
