In a quadratic function, y = a(x²) the smaller the coefficient "a", the larger is the parabola:
From widest to narrowest:
1) y=1/3x² (Widest)
2) y= -1/2x² (Wider)
3) y=-9x² (narrowest)
Answer:
C 20
Step-by-step explanation:
Set up equations:
Laguna's Truck Rentals
y = 2x + 20
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.
Salvatori's Truck Rentals
y = 3x
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).
Set the equations equal to each other:
2x + 20 = 3x
<em>Why would you do this?</em>
We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.
Solve:
2x + 20 = 3x
Subtract 2x on both sides:
2x + 20 = 3x
-2x -2x
20 = x
When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.
Hope this helps :)
Answer:
the difinition of addition is adding two things together
Step-by-step explanation:
Answer:
3x was subtracted from the left side, but 3x was subtracted from the right side. The Subtract Property of Equality states that you can subtract the same number from each side and the equation will remain true. But 3x and 3 are not the same number (unless x is 1).
x = -8/5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 12 from both sides.
Step 3: Divide both sides by 10.
