Answer:
![x\geq -30](https://tex.z-dn.net/?f=x%5Cgeq%20-30)
Step-by-step explanation:
Work to isolate x on one side of the inequality:
![3-\frac{x}{2} \leq 18\\3-18\leq \frac{x}{2} \\-15\leq \frac{x}{2}\\-30 \leq x](https://tex.z-dn.net/?f=3-%5Cfrac%7Bx%7D%7B2%7D%20%5Cleq%2018%5C%5C3-18%5Cleq%20%5Cfrac%7Bx%7D%7B2%7D%20%5C%5C-15%5Cleq%20%20%5Cfrac%7Bx%7D%7B2%7D%5C%5C-30%20%5Cleq%20x)
Therefore the answer is all x values larger than or equal to -30
![x\geq -30](https://tex.z-dn.net/?f=x%5Cgeq%20-30)
The statement of the question tells us that 45% of the customers getting an oil change will have their car tires rotated. Therefore:
probability of both = 0.7 x 0.45
= 0.315
= 31.5%
Answer:
y = 2/5x
Step-by-step explanation:
Perpendicular lines are lines which have negative reciprocal slopes of each other.
The line y = -5/2 x + 2 has slope -5/2. Therefore its perpendicular slope will be 2/5.
The equation can cross anywhere on the y-axis for its y-intercept since no specific point is given. Here I chose (0,0).
y = 2/5x
Answer:
4m+5
Step-by-step explanation:
Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)