Can you give more specific information about this question
Answer:
x would equal -11 or 13
Step-by-step Explanation:
x(x - 2) - 143 = 0
x^2 - 2x - 143 = 0
-2x + x^2 = 143
-143 + (-2x) + x^2 = 0
(x - 13)(x + 11)
x - 13 = 0
Add 13 to both sides
x = 13
x + 11 = 0
Subtract 11 from both sides
x = -11
Answer:
x ≥ 7
Step-by-step explanation:
|x - 7| = x - 7
A. For each absolute, find the intervals
x - 7 ≥ 0 x - 7 < 0
x ≥ 7 x < 7
If x ≥ 7, |x - 7| = x - 7 > 0.
If x < 7, |x - 7| = x - 7 < 0. No solution.
B. Solve for x < 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
-x + 14 = x
14 = 2x
x = 7
7 ≮7. No solution
C. Solve for x ≥ 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
True for all x.
D. Merge overlapping intervals
No solution or x ≥ 7
⇒ x ≥ 7
The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.
You know that the slope, m=5. You have a point (6,7) as (x,y). The slope-intercept form is y=mx+b. Plug in the number for x,y, and m, and then you would be able to find b using the slope-intercept form. Then rewrite the equation as y=5x+b, which you just found b.
(Here's the first step. 7=5(-6)+b). Find b, and then write the slope-intercept form as y=5x+b.