Answer:
For number 5 . a= 3 and b = -1
Answer:
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Step-by-step explanation:
we know that
The equation of the given parabola is

we have
the vertex is the point (5,-4)
substitute

The y-intercept is the point (0,96)
substitute and solve for a



The equation of the vertical parabola is equal to

Find the x-intercepts
Remember that
The x-intercepts are the values of x when the value of y is equal to zero
For y=0

Simplify

Rewrite

square root both sides




therefore
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Answer:
Option (C) n = 256
Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.
Step-by-step explanation:
A new car is available in a sedan model and a hatchback model.
So that means customers can select the model of the car in,
n₁ = 2 ways
It is available in eight different colors.
After selecting the model, customers can select the color of the car in,
n₂ = 8 ways
Customers can choose to add any combination of four optional features.
After selecting the color, customers have the choice to add any combination of 4 optional features,
n₃ = 4² = 16 ways
Which means that there are 16 different ways to add 4 optional features e.g.
1. 0, 0, 0, 0
2. 0, 0, 0, 1
3. 0, 0, 1, 0
4. 0, 0, 1, 1
and the list goes on to 16 different ways.
Now the total ways to select a car is given by
n = n₁*n₂*n₃
n = 2*8*16
n = 256
Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.
Answer:
i think the first graph is the correct
Answer:
A. q = 39
Step-by-step explanation:
Since the lines are parallel, their sides will be proportional,
So,
Taking their proportion
=> 
Cross Multiplying
q × 40 = 26 × 60
q = 
q = 39