Answer:
Add 4 on both sides.
In the equation there is a -4.
If -4+4=0, that is how you would get rid of the -4.
But, you need to add 4 to 29 to really get rid of the -4.
So, 29+4 is 33.
b=33
Answer:
Answer:
18 cups.
Step-by-step explanation:
We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: .
To find number of cups x to make a profit of at least $20 we will use our given inequality.
Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.
Answer:y=-3x+4
Step-by-step explanation: use the y=mx+b equation.
Answer:
(−2, 3), because both lines pass through this point
Step-by-step explanation:
The meaning of "solution to the system of equations" is that both lines intersect at the solution point. That is, they both pass through that point.
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
