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.
Step-by-step explanation:
K=12 if you want explanation i will
Answer: 2:1
Step-by-step explanation:
The ratio of A to B is given by : 
or A : B .
Given : sundaes with nuts = 4
sundaes without nuts = 8
The ratio of the number of sundaes with nuts to the number of sundaes without nuts = ![\dfrac{8}{4}=\dfrac{2}{1}\ \ \ [\text{Divide numerator and denominator by 4 }]](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B4%7D%3D%5Cdfrac%7B2%7D%7B1%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BDivide%20numerator%20and%20denominator%20by%204%20%7D%5D)
= 2:1
hence, the required ratio = 2:1 .
Answer:
x=4.
Step-by-step explanation:
Let's solve your equation step-by-step.
5/15=x/ x+8
Step 1: Cross-multiply.
5/15=x/ x+8
5*(x+8)=x*(15)
5x+40=15x
Step 2: Subtract 15x from both sides.
5x+40−15x=15x−15x
−10x+40=0
Step 3: Subtract 40 from both sides.
−10x+40−40=0−40
−10x=−40
Step 4: Divide both sides by -10.
−10x−10=−40−10
Then your answer will be x=4.
Answer:
x = -11/9
Step-by-step explanation:
7(x+3)=-2(x-5)
Distribute
7x+21 = -2x+10
Add 2x to each side
7x+21 +2x = -2x+10+2x
9x +21 = 10
Subtract 21 from each side
9x +21-21 = 10-21
9x = -11
Divide each side by 9
9x/9 = -11/9
x = -11/9
