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.

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

[tex]s = \dfrac{60}{12}[/tex]

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]

To minutes;

[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]

= 18 minutes

Answer: Jeff is correct.

Step-by-step explanation:

The sum of the two sides of the triangle must greater than the longest side, which in this case, the longest side is 19 feet.

8 + 12 ? 19

20 > 19

Therefore, Jeff is correct.

Answer:

D. -3

Step-by-step explanation:

Hi there!

[tex]\large\boxed{x = 40}[/tex]

We can solve for x knowing that the sum of interior angles in a triangle is 180°.

The square at the bottom indicates a right angle, or 90°. Therefore:

180 = 90 + x + (x + 10)

Combine like terms:

180 = 100 + 2x

Subtract 100 from both sides:

180 - 100 = 2x

80 = 2x

Divide both sides by 2:

x = 40.

Answer:

hi

Step-by-step explanation:

x+90⁰+x+10=180

x+x+10=180-90

2x+10=90

2x=90-10

2x=80

x=80/2

x=40

have a nice day

Did you attach the photos because I don't see the picture???

Answer:

y = x + 2

Step-by-step explanation:

Choose any two points from the graph

(0, 2) ;  (-2 , 0)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]= \frac{0-2}{-2-0}\\\\= \frac{-2}{-2}\\\\= 1[/tex]

y - intercept = 2    

y = mx + b              {m = 1 and b = 2}

y = x + 2

Answer:

oui,12 Crais Una vez Al mes

Answer:

weisnedjdjjdidjdndndjddjxjjdjdndndjdjdndndndnddn

Answer:

23.16 punces

Step-by-step explanation:

6x3.86=23.16

Answer: 23.16 ounces

Step-by-step explanation:

If there are 6 candy bars that each weigh 3.86 ounces, you need to add up all of the weights to find the total pack weight. 6*3.86=23.16

*If by any chance you need your answer to be in pounds, divide the answer by 16 (16 ounces in a pound). 23.16/16= 1.45 pounds

Answer:

1.21212121212 or average of basically 1 meter per second

Step-by-step explanation:

Formula: distance over time

Take distance and  divide that by time you would get the answer.

Answer:

There is no link to the results/question.

Answer:

dist = 60 mph * (3.5 hrs) = 210 miles

The answer is 210 Miles

Answer:

6

Step-by-step explanation:

Answer:

answers b, c, d, and e are all correct

Answer:

B, D and e

please mark me brainliest

The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

For more such questions on set of values, click on:

https://brainly.com/question/26352252

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Answer:

29.33

I thinks that right... lol :D

Forgive me if it wrong :(

Step-by-step explanation:

That is equivalent to 308 square yards.  You can verify it on this website https://www.inchcalculator.com/square-yards-calculator/.

Answer:

12 BTU

Step-by-step explanation:

Answer:

The permiter is 22mm since its still  the same

Step-by-step explanation:

Answer:

im not sure but i think it is A...

Answer:

C 532 square feet

Step-by-step explanation:

We need to calculate the surface area of the storage shed.  This includes the floor.  I did the calculations without the floor and I got 434ft, which is not one of the answers.

Length = 14ft Width = 7ft Height = 8ft

The front and back of the shed both have dimensions of 14x8

The left and right sides of the shed have dimensions of 7x8

The roof and floor have the dimensions of 14x7

2(14 x 8) + 2(7 x 8) + 2(14 x 7)

2(112) + 2(56) + 2(98)

224 + 112 + 196

532 square feet

I hope this helps.

Answer:

2nd

Step-by-step explanation:

the second pic from the given figure show the correct answer

The graph (C) shows the solution set of (x-1 )/ (1-x) < 0.

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given:

According to the question, we have the Expression

(x-1 )/ (1-x) < 0

Because the function exists, the denominator is not equal to zero. That is, x does not equal 1. Because the denominator is zero when x = 1 and the function is not defined.

Thus, in the solution set of (x-1 )/ (1-x) < 0  excluding one, at every real number is function is defined.

Therefore, the correct option is C shows the solution set.

Learn more about Inequality here:

brainly.com/question/11988499

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Answer:

OMG OMG OMG OMGOOOOOOOOOOO THANKS FOR 50 POINTS

Answer:

352 mph

Step-by-step explanation:

cuz I'm super smart

Answer: 1126.4

Step-by-step explanation:

Rate times time, takes her 3.2 hrs and she travels 352, 3.2 times 352 is 1126.4

Answer:

C. 3i✓3

Step-by-step explanation:

Which choice is equivalent to the expression below?

✓-27

Square root of a negative value, so it will have a complex part.

We have that:

[tex]\sqt{-a^2} = ai[/tex]

In this question:

The square root of -27 can be factored as:

[tex]\sqrt{-27} = \sqrt{3(-9)} = \sqrt{3}\sqrt{-9} = 3i\sqrt{3}[/tex]

So the correct answer is given by option C.

Answer:

Ava swam 203 more miles

Step-by-step explanation:

357-154=203

Answer:

50 degrees is the answer

Answer:

41.25

Step-by-step explanation:

(1) area = 5.5 × 7.5

(2) area = 41.25

:)

Answer:More than nine-in-ten Hispanics identify with a specific religion. That, along with several other measures of belief and behavior, means that Hispanics as a group are highly religious. How does this affinity for spirituality vary among Latinos with different demographic characteristics or religious affiliations? And how precisely do the religious beliefs of Latinos set them apart from the rest of the population?

Step-by-step explanation: