Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m = = = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
Answer:
(4x+4)
Step-by-step explanation:
h(x)=5x+6
k(x)=9x-2
(k-h)(x)= (9x-2-5x+6)
9x-5x=4x -2+6=4
(k-h)(x)= (4x+4)
Answer:D
Step-by-step explanation:
Answer:
117 miles
Step-by-step explanation:
First we need an equation for the situation. The number of miles is our unknown, x. If she is charged 18 cents per mile, that can be expressed as .18x. The flat rate, what she is charged regardless of how many miles she drives, is 18.95. In other words, even if she drives 0 miles, she is still charged 18.95 for the rental of the car. C(x) is the amount she will pay after the flat rate plus the number of miles she drives. Therefore, our equation is:
C(x) = .18x + 18.95
If she can only spend 40, then we replace C(x) with 40 and solve for x, the number of miles:
40 = .18x + 18.95
Begin by subtracting 18.95 from both sides to get:
21.05 = .18x
Now divide both sides by .18 to get that
x = 116.9 miles
Rounding, we have that she can drive
117 miles
with the amount of money she has to spend on a rental car.
It’s five because yes it is five
