Step-by-step explanation:
3x + 2y = 12
2y = 12 - 3x
y = 6 - 3/2 x
so, it is a regular line, not horizontal, not vertical.
the easiest way to graph it is to find the 2 intercepts at the x- and at the y-axis (setting x = 0 gives us the y value for the y-axis intercept, setting y = 0 gives us the x value for the x-axis intercept).
then use a ruler and draw a line through both points and well beyond these 2 points.
x = 0
3×0 + 2y = 12
2y = 12
y = 6
point (0, 6)
y = 0
3x + 2×0 = 12
3x = 12
x = 4
point (4, 0)
Answer:
600 Cheese and 900 Pepperoni
Step-by-step explanation:
Setup the equation with 2c(Cheese) + 2.5p(Pepperoni) = $3450(Total Made).
In addition to the equation c + p = 1500(Number of pizzas sold)
Using the second equation (c + p = 1500) solve for one of the variables.
Lets use :
- p = 1500 - c
- Plus this equation into the original equation, 2c + 2.5(1500 - c) = 3450
- Distribute 2.5, 2c + 3750 - 2.5c = 3450
- Combine like terms -0.5c + 3750 = 3450
- Solve for c: c = 600
- Plus 600 in for c into any equation ( lets use c + p = 1500)
- 600 + p = 1500
- P = 900
Answer:
14.22
Step-by-step explanation: 1.58x9 meters=14.22 meters
Answer: a) x = 5 or -1 b) x = √3+2
c) x = -1/2 or -3/2
Step-by-step explanation:
a) (x − 2)² = 9
First step is to take the square root of both sides to eliminate the square
√ (x − 2)² = √9
x-2 = +-3
x = +3+2
x = 5 and;
x = -3+2
x = -1
x = 5 or -1
b) 3(x-2)² = 9
First we divide both sides by 3 to get;
(x-2)² = 9/3
(x-2)² = 3
Second step is to take the square root of both sides to eliminate the square
√(x-2)² = √3
x-2 = √3
x = √3+2
c) 6 = 24(x+1)²
Dividing both sides by 24, we have
6/24 = (x+1)²
1/4 = (x+1)²
Taking the square root of both sides we have
√1/4 = √(x+1)²
= +-1/2 = x+1
x = +1/2-1 = -1/2 and;
x = -1/2-1 = -3/2
x = -1/2 or -3/2
Answer:
Convert 15
% to a decimal.
Then multiply 0.15 x 13450. That means the answer is $2,017.50
Please mark brainliest if this helped.