6x+9=3x+12
6x-3x=12-9
3x=3
X= 3
I hope this helps :)!
5+6.50+7.21=18.71 30-18.71=$11.29 left
Answer:
(x - 6)^2 = 42
Step-by-step explanation:
Using " ^ " to indicate exponentiation, we have:
x^2 - 12x -6=0
Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.
Start by taking HALF of the coefficient of x, that is, HALF of -12. We get -6.
Next, square this result: (-6)^2 = 36.
Finally, add this 36 to both sides, obtaining:
x^2 - 12x + 36 - 6 = 36
Rewriting the first three terms, we get:
(x - 6)^2 - 6 = 36, or
(x - 6)^2 = 42 This is the end result to "completing the square."
If you want to go further and actually solve for x, then see below:
Taking the square root of both sides, we get
x - 6 = ±√42
Then x = 6 ± √42, or
x = 6 + √42 and
x = 6 - √42
Answer:
If x can only have one answer, then the solution is one value. If x can be all real numbers, then the solution is all real numbers. And if x doesn't have an answer then it has no solution.
Step-by-step explanation:
For example:
One value: 7 + x= 10 => x= 3
All real numbers: 0x=0 => x can be all real numbers
No solutions: 7x=6x => no solutions
Answer:
- a) x = 4
- b) y = 1.25x + 15
- c) (-12, 0)
Step-by-step explanation:
a) PQ is parallel to the y-axis and contains point (4, 5).
<u>It means its equation is:</u>
b) RQ is parallel to OP.
Parallel lines have equal slopes.
<u>Find the slope of OP:</u>
RQ has slope of 1.25 and passes through (- 8, 5).
<u>Find its equation using point-slope form:</u>
- y - 5 = 1.25(x - (-8))
- y - 5 = 1.25x + 10
- y = 1.25x + 15
c) <u>The x-intercept is determined at y = 0:</u>
- 0 = 1.25x + 15
- 1.25x = - 15
- x = - 15/1.15
- x = - 12
