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
Answer:
X = -15
Step-by-step explanation:
6X +12 = 4X -18
Subtract 4X from both sides
2X +12 = -18
Subtract 12 from both sides
2X = -30
Divide both sides by 2
X = -15
So basically just have the unknown on one side and normal numbers on the other. Make sure you do the same thing on both sides.
Mark me as brainliest if this helps!
Answer:
<h3>The volume is 144.</h3>
Step-by-step explanation:
Volume of a rectangular solid = l × w × h
where
l is the length
w is the width
h is the height
From the question
l = 12 feet
w = 3 feet
h = 4 feet
Volume = 12 × 3 × 4
= 144 feet
Hope this helps you.
Answer:
10.5
Step-by-step explanation:
X/-3.5=30-33=-3
X= -3*3.5= 10.5