Answer:
c
Step-by-step explanation:
Answer:
k = –10
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of K =?
Next, we shall obtained the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the value of k as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Thus,
f(–2) = 0
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10
Thus, the value of k is –10
You are told that sprinklers run for the same amount of time. lets refer to this time as T.
you are told that 4 sprinkles run one at a time for 50 minutes total. that means that T should be 50/4 = 12.5 minutes = 12 minutes and 30 seconds
Answer:
-|x|=-3
|x|=-3
|-x|=-3
Step-by-step explanation:
Answer:
B. 5
Step-by-step explanation:
Step 1: Rewrite the equation a bit
![\frac{7^\frac{3}{4}}{7^\frac{x}{8}}=\sqrt[8]{7}\\7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5E%5Cfrac%7B3%7D%7B4%7D%7D%7B7%5E%5Cfrac%7Bx%7D%7B8%7D%7D%3D%5Csqrt%5B8%5D%7B7%7D%5C%5C7%5E%5Cfrac%7B3%7D%7B4%7D%5E-%5E%5Cfrac%7Bx%7D%7B8%7D%3D7%5E%5Cfrac%7B1%7D%7B8%7D)
Step 2: Place a logarithm base 7 on both sides

Step 3: Solve for x

Neat exponent question :)