Answer:
The value of an appropriate test statistic for the car dealer to use is -4.
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
In this problem:

Then



The value of an appropriate test statistic for the car dealer to use is -4.
Answer:
x=2 , x=(-1)
Step-by-step explanation:
y=x^2+3----------1
y=x+5-------------2
1=2
x^2+3 = x+5
x^2-x-2=0
(x-2)(x+1)=0
x=2 , x=(-1)
The quadratic function in vertex form is
.
Solution:
The equation of a quadratic in vertex form is
.
where (h, k) are the coordinates of the vertex and "a" is a multiplier.
Here (h, k) = (5, –2)
Substitute this in the vertex form.

– – – – (1)
Passes through the point (7, 0).
Here x = 7 and y = 0.
Substitute this in equation (1), we get


Add 2 on both sides.
2 = 4a
Divide 2 on both sides, we get

Substitute the value of a in equation (1),

The quadratic function in vertex form is
.