Answer:
87.975
Step-by-step explanation:
76.5 x 15% = 11.475
76.5 + 11.475 = 87.975
Answer:
x-intercept is 24 , y-intercept is -16
Step-by-step explanation:
* Lets explain how to solve the problem
- The x-intercept is the x-coordinate of the point of intersection
between the graph of the equation and the x-axis ⇒ (x , 0)
- To find the x-intercept substitute the value of y in the equation by 0
- The y-intercept is the y-coordinate of the point of intersection
between the graph of the equation and the y-axis ⇒ (0 , y)
- To find the y-intercept substitute the value of x in the equation by 0
* Lets solve the problem
∵ 2x - 3y = 48
- To find the x-intercept substitute y by 0
∴ 2x - 3(0) = 48
∴ 2x = 48
- Divide both sides by 2
∴ x = 24
∴ The graph intersects the x-axis at point (24 , 0)
* The x-intercept is 24
∵ 2x - 3y = 48
- To find the y-intercept substitute x by 0
∴ 2(0) - 3y = 48
∴ -3y = 48
- Divide both sides by -3
∴ y = -16
∴ The graph intersects the y-axis at point (0 , -16)
* The y-intercept is -16
Y = 1
Using y = mx + c.
Compare to y = 1, y = 0x + 1 ,
We can see that the slope m = 0 and the vertical intercept, c = 1.
For the line perpendicular to y = 1
Condition for perpendicularity m₁m₂ = -1
m₁ = 0, m₂ = ?
0*m₂ = -1
m₂ = -1/0 = Negative Infinite or Infinite
Slope of line perpendicular to y = 1, is = Infinite.
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 :)
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