The value for p will be equal to 3 / 4.
We have the function as:
f(x) = (x - 1)³ + 6(p x + 4) 2
f(x) = x³ - 3 x² + 3 x - 1 + 12 p x + 48
f(x) = x³ - 3 x² + 3 x ( 1 + 4 p) + 47
Now, it is divided by x + 2 and leaves a remainder -3.
This means that if we will subtract 3 from f(x), it will be perfectly divisible by x + 2.
g(x) = x³ - 3 x² + 3 x ( 1 + 4 p) + 47 - 3
g(x) = x³ - 3 x² + 3 x ( 1 + 4 p) + 44
Now put x = -2:
(-2)³ - 3 (-2)² + 3 (-2) ( 1 + 4 p) + 44 = 0
-8 - 12 - 6 ( 1 + 4 p) + 44 = 0
- 20 - 6 - 24 p + 44 = 0
24 p = 18
p = 3 / 4.
Therefore, the value for p will be equal to 3 / 4.
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To solve this problem, we would need a drawing or picture. If you look at the Trapezoid, find out if some parts are congruent, similarities, AA, SAS, SSS, etc...
if you post the picture i can help you
Answer: Simplifying
2x + 4 + 2x + 8 + 2x + 8 = 180
Reorder the terms:
4 + 8 + 8 + 2x + 2x + 2x = 180
Combine like terms: 4 + 8 = 12
12 + 8 + 2x + 2x + 2x = 180
Combine like terms: 12 + 8 = 20
20 + 2x + 2x + 2x = 180
Combine like terms: 2x + 2x = 4x
20 + 4x + 2x = 180
Combine like terms: 4x + 2x = 6x
20 + 6x = 180
Solving
20 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 6x = 180 + -20
Combine like terms: 20 + -20 = 0
0 + 6x = 180 + -20
6x = 180 + -20
Combine like terms: 180 + -20 = 160
6x = 160
Divide each side by '6'.
x = 26.66666667
Simplifying
x = 26.66666667
Step-by-step explanation:
Answer:
Alicia needs 32ft² of carpet to cover the space
Answer:
Step-by-step explanation:
Less than 0.84
Step-by-step explanation:
Convert all numbers to decimals
85% --> 0.85
0.88 --> 0.88
21/25 --> 0.84
Since these are the top three, the rest of the competitors are less than 0.84.
