Answer:
Step-by-step explanation:
Equation of the function is,
f(x) = 2x² + 20x + 54
To convert the function in the form of f(x) = a(x - h)² + k
f(x) = 2(x² + 10x) + 54
= 2[x² + 2(5x) + 25 - 25] + 54
= 2[x² + 2(5x) + 5²] + 54 - 50
= 2(x + 5)² + 4
= 2[(x - (-5)]² + 4
Vertex of the quadratic equation (parabola) will be (-5, 4)
Therefore, f(x) has a minimum value at x = -5,
f(-5) = 4
"The function f(x) has a minimum value of 4, which occurs when x = 5"
Answer:
a
Step-by-step explanation:
7(g-9)+12=26
7(g-9)+12-12=26-12
7(g-9)=14
7(g-9)/7=14/7
g-9=2
g-9+9=2+9
g=11
2 divided by 2 is one (1)
Answer:
A. Complete the missing entries in this Excel Regression tool output. Enter negative values as negative numbers. ANOVA df SS MS F Significance F Regression 2 .8811 52.4464 Residual 7 .1179 .0168 Total Coefficients Standard Error t Stat P-value Intercept X1 X2.
Answer:
a(n) = -3(-1/5)^(n - 1)
Step-by-step explanation:
From the first term, -3, we get the second term, 3/5, by multiplying -3 by -1/5.
Thus, the common ratio is -1/5.
The general formula in this case is a(n)=(first term)(common ratio)^(n - 1), or
a(n) = -3(-1/5)^(n - 1)
