The prime factorization of 45 are 3 × 3 × 5
Answer:
y ≥ x - 2 and x + 2y < 4
Step-by-step explanation:
There are two lines graphed.
The dotted line passes through (0,2) and (4,0), then:
<u>slope (m)</u>: (0 - 2)/(4 - 0) = -1/2
<u>y-intercept (b)</u>: 2
<u>equation</u>:
y = mx + b
y = -1/2x + 2
multiplying by 2 at both sides, we get
2y = -x + 4
x + 2y = 4
The inequality is x + 2y < 4 because points below this line are shaded and points on the line are not included.
The solid line passes through (0,-2) and (2,0), then:
<u>slope (m)</u>: (0 - (-2))/(2 - 0) = 1
<u>y-intercept (b)</u>: -2
<u>equation</u>:
y = x - 2
The inequality is y ≥ x - 2 because points above this line are shaded and points on the line are included.
Vertical is left to right or right to left
Horizontal is up to down or down to up
Assume x are Erica's classes & y are Bo's classes.
x+y=35
x=2y-13
Replacing the value of x into the first equation
2y-13+y=35
3y=35+13
y=16 classes
x=2*16-13=19 classes
|n|=3
n=+3;n=-3
|n|=14
n=+4; n=-4
|n|=1
n=+1; n=-1