ANSWER:
For the first picture, it is the first answer. This is because of the Exterior Angle Theorem.
For the second picture, use the Exterior Angle Theorem again, but this time, solve for x.

The m∡B = 39°
Answer:
The zeros are 0, 4, 6.
The y-intercept is 0.
Step-by-step explanation:
f(x) = x^3 - 10x^2 + 24x
x^3 - 10x^2 + 24x = 0
x(x^2 - 10x + 24) = 0
x(x - 4)(x - 6) = 0
x = 0 or x - 4 = 0 or x - 6 = 0
x = 0 or x = 4 or x = 6
y-intercept:
Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.
You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).
Let x = 0.
f(0) = 0^3 - 10(0^2) + 24(0)
f(0) = 0
y-intercept: 0
Answer:
They would have the bike for 1.7 hours
Step-by-step explanation:
The bike is rented at a charge of $5 for every half an hour,this can be expressed as:
$5 per 0.5 hours, to calculate the time one will have the bike if they pay $17
The amount of paid=Standard Rate per 1/2 of an hour/Number of hours
where;
The amount paid=$17
Standard Rate per 1/2 an hour=$5/0.5
Number of hours
Replacing;
n=(17×0.5)/5=1.7 hours
Given:
y-intercept of the graph: (0, 90)
zeros: 5 and 9
The equation that models the function based on the zeros given, is either
y = 90 (x-5) (x-9)
or
y= 2(x-5)(x-9)
try solving for the y-intercept of each function,
y = 90 (0-5) (0-9)
y = 4050
(0, 4050)
y = 2(0-5) (0-9)
y = 90
(0, 90)
therefore, the equation that models the function is y = 2(x-5)(x-9)