Consider the functions f(x) = x2 - 4x and
g(x) = (x - 2)2 + 3.
Which of the following statements are true? Select all that apply.

A)The graphs of f(x) and g(x) share the same axis of symmetry.

B)The graphs of f (x) and g(x) share the same y-intercept.

C)The graphs of f(x) and g(x) share the same
x-intercepts.

D)The graph of f(x) and g(x) open in the same direction.
The graph of f(x) is wider than the graph of g(x).

E)The vertical distance between the vertex of f(x) and the vertex of g(x) is 4 units.

Step-by-step explanation:

area of a rectangle bh

4x7=28

7x9=63

9x4=36

the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.

Hope that helps :)

Answer:

you made 600 profit

Step-by-step explanation:

2000-400=1600

1600+1000=2600

2600-2000=600

Answer: 2600

Step-by-step explanation:

2000 - 400 = 1600 + 1000 = 2600

Answer:

Step-by-step explanation:

The smallest perfect square that has three different prime numbers as factor is 900

900 = 30 * 30

Factors = 2² * 3² * 5² = 900

Answer:

Brown eyes

Step-by-step explanation:

10/28 Fraction form

0.3571 Decimal form

35.71 % Percentage form

10 is the greatest number out of all the other colors

Answer:

A is in fact correct.

Step-by-step explanation:

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]

68% confidence level

So [tex]\alpha = 0.32[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.32}{2} = 0.84[/tex], so [tex]Z = 0.995[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24[/tex]

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

The p-value is also known by the probability value. It is the probability of getting a result that is either the same or more than the actual value.

In a given data with a number n of people surveyed with a probability of success [tex]\pi[/tex] and a confidence level [tex]1-\alpha[/tex], we have the confidence interval of proportions.

[tex]\pi[/tex] ± [tex]\rm z\sqrt{\pi (1-\pi )} /n[/tex]

where z has a p-value of 1-[tex]\alpha /2[/tex]

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

n = 100, [tex]\pi[/tex] = 20/100 = 0.2

So, [tex]\alpha[/tex] = 0.32 where z has a p-value 1-[tex]0.32 /2 = 0.84[/tex]

z = 0.995

The lower limit of this interval

[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 - 0.995 \sqrt{0.2 \times 0.8} /100\\= 0.16[/tex]

The upper limit of this interval

[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 +0.995 \sqrt{0.2 \times 0.8} /100\\= 0.24[/tex]

Hence, The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Learn more about p-value ;

https://brainly.com/question/15407907

Answer:

Step-by-step explanation:

​(a) What proportion of​ 18- to​ 34-year-old respondents are more likely to buy when made in their​ country? What proportion of​ 35- to​ 44-year-old respondents are more likely to buy when made in their​ country?

The proportion of​ 18- to​ 34-year-old respondents is

0.66

The proportion of​ 35- to​ 44-year-old respondents is

0.56

(b) What age group has the greatest proportion who are more likely to buy when made in their country?

18-34 yrs

(c) Which age group has a majority of respondents who are less likely to buy when made in their country?

55+

(d) What is the apparent association between age and likelihood to buy when made in their country?

As age decreases, the likelihood to buy homegrown increases

It's 200.04 dag

blah blah

Answer:

0.240kg

Step-by-step explanation:

the reason for this is because my teacher taught me this:

KHDMDCM

       L

       G

so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg

Answer:

its 3 trust me

Step-by-step explanation:

Answer:I’m thinking it’s the first one but someone else might know for sure sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

# 12

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12 is a median of a data

Answer:

the answer is actually study and you would know

Step-by-step explanation:

Answer:

3 and 19

Step-by-step explanation:

Answer:

r = 47

Step-by-step explanation:

r - 38 = 9

r- 38 + 38 = 9 + 38

simplify

r = 47

Answer:

[tex]r=47[/tex]

Step-by-step explanation:

[tex]r-38=9[/tex]

Add 38 to both sides of the equation:

[tex]r-38+38=9+38\\r=47[/tex]

r = 47 is your final answer.

Answer:

84 in²

Step-by-step explanation:

12+9=21

21x0.5=10.5

10.5x8=84

Answer:

whats the question? theres no context other than that little bit

Answer:

The fence is 40 feet long.

Step-by-step explanation:

I suppose the question is "What is the length of the entire fence?"

Formula

3/8 x = 15                     Multiply both sides by 8

8*(3/8)x = 15*8             Cancel

3x = 120                       Divide by 3

3x/3 = 120/3

x = 40

Answer:

here you go! i couldnt write it but Goodluck! :)

Step-by-step explanation:

Answer:

The percent markup is 91%.

Step-by-step explanation:

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Answer:

The percent markup is 91%.

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Answer:

Write in Slope-Intercept Form

Graph

Find the x and y Intercepts

Find the Slope

Find the Slope and y-intercept

Write in y=mx+b Form

Write in Standard Form

Answer:

(a)

[tex](2,0)[/tex]

(b)

[tex](0,-2)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1)= (4,2)[/tex] --- point

[tex]m =1[/tex] -- slope

Solving (a): The zeros of the function

First, we calculate the equation using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 1 * (x - 4) + 2[/tex]

Open bracket

[tex]y = x - 4+ 2[/tex]

[tex]y = x -2[/tex]

The zeros also is: [tex]y=0[/tex]

[tex]0 = x - 2[/tex]

[tex]x =0+2[/tex]

[tex]x =2[/tex]

So, the solution to be is

[tex](2,0)[/tex]

(b) The y intercept is:

Substitute [tex]x=0[/tex]

[tex]y = 0 -2 = -2[/tex]

We have:

[tex](0,-2)[/tex]

Answer: 53.79

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others

Answer:

its c

Step-by-step explanation:

:)

Answer:

1 hour and 17 min

Step-by-step explanation:

it takes 30 min to get to 4  the another 30 min to get to 4:30 then 17 min to get to 4:47

Answer:

24

Step-by-step explanation:

Count the amount of answers she got.

Answer:

Step-by-step explanation:

(4a)^3

4^3 a^3

=12a

Answer:

C. =

Step-by-step explanation:

whenever you have |  | It will always be positive so -6 turns to 6 and that makes it equal.