Answer:
((2 x + 1) (4 x^2 - 2 x + 1))/8
Step-by-step explanation:
Factor the following:
x^3 + 1/8
Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:
(8 x^3)/8 + 1/8
(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:
(8 x^3 + 1)/8
8 x^3 + 1 = (2 x)^3 + 1^3:
((2 x)^3 + 1^3)/8
Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):
((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8
1^2 = 1:
((2 x + 1) ((2 x)^2 - 2 x + 1))/8
Multiply each exponent in 2 x by 2:
((2 x + 1) (2^2 x^2 - 2 x + 1))/8
2^2 = 4:
Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8
Answer:
C
Step-by-step explanation: 36 is the height. Minus 4 is 32. So ye...
<h3>
Answer:</h3>
- A. x = -2
- B. (-2, -3), (-3, -1)
- C. x = 0
<h3>
Step-by-step explanation:</h3>
Part A. The solution is represented by the point at which the graphs intersect: (-2, -3). The x-value that makes p(x) = f(x) is x = -2.
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Part B. The point found in Part A is one solution to f(x). The graph shows the line has a slope of -2, so another point will be 1 to the left and 2 up: (-3, -1). So, two solutions are ...
... (-2, -3) and (-3, -1)
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Part C. The graphs of p(x) and g(x) intersect at the point (0, 2). This means
... p(0) = g(0) = 2
So, x = 0 is the solution to the equation p(x) = g(x).
Answer:
$12
Step-by-step explanation:
To find this, you just need to find 8 percent of 150. You can do this by multiplying 150 by .08, or multiplying 150 by 8/100.
Answer:Lines HF and DE
Step-by-step explanation:
