Solve for x over the real numbers:
x^3 - 7 x^2 - x + 7 = 0
The left hand side factors into a product with three terms:
(x - 7) (x - 1) (x + 1) = 0
Split into three equations:
x - 7 = 0 or x - 1 = 0 or x + 1 = 0
Add 7 to both sides:
x = 7 or x - 1 = 0 or x + 1 = 0
Add 1 to both sides:
x = 7 or x = 1 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 7 or x = 1 or x = -1
E the anwser is c
Step-by-step explanation:Finding Slope from a Table Worksheet Step-by-Step Example. 1 Find the change in the y-values by subtracting from one row to the next. 2 Find the change in the x-values by subtracting from one row to the next. 3 Divide the difference in the y-values by the difference in the x-values.
Answer:
29.87
Step-by-step explanation:
Answer:
1.a. not a function
1.b. function
1.c. function
1.d. not a function
1.e. not a function
1.f. not a function
Step-by-step explanation:
1.a.
The arrows from x to y show that the ordered pairs of this function are:
(1, 4), (1, 5), (0, 7), (1, 6), (2, 5).
Since the x-coordinate 1 is used in two different ordered pairs, (1, 4) and (1, 5), this relation is not a function.
1.b.
Each x-coordinate is used only once, so this relation is a function.
1.c.
All x-coordinates are different. Function.
1.d.
Two ordered pairs have the same x-coordinate. Not a function.
1.e.
Two ordered pairs have the same x-coordinate. Not a function.
1.f.
Two ordered pairs have the same x-coordinate. It does not pass the vertical line test. Not a function.
Step-by-step explanation:
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