Answer:
B. The maximum occurs at the function's x-intercept.
Step-by-step explanation:
Given table:
![\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}](https://tex.z-dn.net/?f=%5Clarge%5Cbegin%7Barray%7D%7B%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%7D%5Ccline%7B1-7%7D%20x%20%26%20-5%20%26%20-4%20%26%20-3%20%26%20-2%20%26%20-1%20%26%200%5C%5C%5Ccline%7B1-7%7D%20g%28x%29%20%26%20-1%20%26%200%20%26%20-1%20%26%20-4%20%26%20-9%20%26%20-16%5C%5C%5Ccline%7B1-7%7D%5Cend%7Barray%7D)
From inspection of the table, we can see that:
and![g(-3) = -1](https://tex.z-dn.net/?f=g%28-3%29%20%3D%20-1)
This indicates <u>symmetry</u>.
The line of symmetry is the mid-point between the two x-values.
Therefore, the <u>line of symmetry</u> is x = -4
The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0). As the function decreases as x → 0, the vertex is a <u>maximum</u>.
As the y-value of the vertex is 0, the maximum occurs at the function's <u>x-intercept</u>.
Answer:
<em>Explanation about the mistake below</em>
Step-by-step explanation:
<u>Formulas</u>
Sometimes the smallest error in the formula leads us to wrong and senseless results.
The formula you are trying is a well-known formula to compute financial variables. Let me write you down the correct formula
![\displaystyle P=d\cdot \frac{1-(1+r/k)^{-nk}}{r/k}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%3Dd%5Ccdot%20%5Cfrac%7B1-%281%2Br%2Fk%29%5E%7B-nk%7D%7D%7Br%2Fk%7D)
You can check the mistake in the exponent of the parentheses. If we apply this formula with your numbers, we get
![\displaystyle 1836=d\cdot \frac{1-(1+0.085/12)^{-12}}{0.085/12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%201836%3Dd%5Ccdot%20%5Cfrac%7B1-%281%2B0.085%2F12%29%5E%7B-12%7D%7D%7B0.085%2F12%7D)
![1836=d\cdot 11.47](https://tex.z-dn.net/?f=1836%3Dd%5Ccdot%2011.47)
Solving for d
d=160.14
Answer:
undefined / no solution
Step-by-step explanation:
10p - 2(3p-6) = 4(3p-6) - 8p
10p - 6p - 12 = 12p - 24 - 8p
4p - 12 = 4p - 24
0 = -12
0 cannot equal -12
Answer:
17
Step-by-step explanation: