Answer:
14 - 13x
Step-by-step explanation:
take 13x + 1 away from 15
15 - (13x + 1) = 15 - 13x - 1 = 14 - 13x
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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Answer:
Step-by-step explanation:
Population of X is {1, 1, 2, 2, 2, 3, 3, 3}
Based on that, X's expected value, variance and standard deviation can be calculated as follows:
Expected Value, μ = 2.125 or 2.13
Variance, σ2 = 0.609375 0r 0.61
Standard Deviation, σ = 0.78062475 or 0.78
<span>The <u>correct answer</u> is:
6/100.
Explanation<span>:
We look at place value to answer this. The digit in front of the decimal is the ones; directly after the decimal we have the tenths; behind this we have the hundredths; and behind this we have the thousandths.
6 is two places behind the decimal; this is the hundredths place. This means it is six hundredths, or 6/100.</span></span>
