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2 years ago

Consider the function below.

Mathematics

1 answer:

murzikaleks [220]2 years ago

4 0

Answer:

See the attachment for the points and line of interest.

Step-by-step explanation:

A graphing calculator or graphing utility can show you the curve.

For ax²+bx+c, the line of symmetry is x=-b/(2a). That is also the x-coordinate of the vertex. The y-intercept is the constant, the value of the function when x=0. The x-intercepts are the values of x that make f(x) = 0.

Here, those are x=4 and x=-2. You can factor f(x) as (x+2)(x-4). These values of x make the factors, and the function, zero.

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In a recent year the fuel economy of all passenger vehicles was 19.8 mpg. A trade organization sampled 50 passenger vehicles for

salantis [7]

Answers and Step-by-step explanation:

Hypotheses are:

H o=19.8

H 1 ≠19.8

Here we have following information:

s=2.45, X bar=20.1, n=50

So test statistics will be

t=20.1-19.8/(2.45/ $\sqrt{50}$ =0.87

Degree of freedom : d f = n - 1 = 50 - 1 =49

Test is two tailed so critical value of the test is -1.30 and 1.30.

Rejection region:

if t < -1.30 and t > 1.30, reject H o

Since test statistics lie in the rejection region so we fail to reject the null hypothesis.

(b)

The observed significance of the test is

P value =0.3885

(c)

Since p value is greater than 0.20 so we fail to reject the null hypothesis.

5 0

3 years ago

Can you help me? Please explain how you got it!

julia-pushkina [17]

Answer:

Step-by-step explanation:

First we must find the x and y intercepts for y = -2x - 4. The y-intercept is -4, since it is b in y = mx + b, but you can also find it by plugging in zero for x:

$y = -2(0) - 4 = 0 -4=-4$

The x-intercept is found by plugging in zero for y:

$0=-2x-4$

$0+4=-2x-4+4$

$4=-2x$

$\frac{4}{-2}=\frac{-2x}{-2}$

$-2=x$

The graph with an x-intercept of -2 and a y-intercept of -4 is C. Also, less than inequalities have the shading underneath the line, so we definitely know C is the answer.

4 0

3 years ago

A basketball player makes 90% of her free throws. what is the probability she will miss for the first time on the seventh shot?

Kobotan [32]

52.17% is the probability she will miss for the first time.

4 0

3 years ago

What is the LCM of 2, 4, and 5?

marta [7]

Answer:

Step-by-step explanation:

the LCM of 2, 4, and 5?

${2}^{2} \times 5$

7 0

2 years ago

Questions linked below

marusya05 [52]

Answer:

The blur of the photo I do not understand sorry

Step-by-step explanation:

ty for the points

5 0

2 years ago