Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
Let
c -----> the cost of some taxi journeys
n ----> the number of miles
we know that
The graph is a line
The equation of a line in slope intercept form is
where
m is the slope
b is the c-intercept (value of c when the value of n is equal to zero)
Observing the graph we have the points
(0,2.5), (5,5.5)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute the values
we have
-----> because the point (0,2.5) is the c-intercept
substitute in the equation of slope-intercept form
3
is the simplify expression
Step-by-step explanation:
I not that good with math but I would say C.
Answer:
6
Step-by-step explanation:
Answer:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
