The ages of 8 different students in a college math class were used to make the box plot shown above. Which of the following
numbers below is the range of the ages?
A. 8
B. 5
C. 3
D. 18

Question 17

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Explanation:

We know that a = 1 so it matches with the 'a' value in y = x^2. Otherwise, the shapes wouldn't match up and they wouldn't be congruent.

The vertex we want is (h,k) = (2,-3)

Therefore,

y = a(x-h)^2 + k

y = 1(x-2)^2 + (-3)

y = (x-2)^2 - 3

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Question 18

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Explanation:

The equation y = 3(x-1)^2 - 4 is in the form y = a(x-h)^2 + k which is known as vertex form.

a = 3 being positive tells us the graph opens upward and we have a min point. There is no max point as it goes on forever upward.

The min point is k = -4 which is the y coordinate of the vertex.

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Question 19

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Explanation:

The equation opens up, so the value of 'a' must be positive. This narrows our choices to A or B.

We eliminate choice A because that graph is more narrow compared to y = x^2. Choice B is wider and flatter compared to y = x^2 due to 1/2 being smaller than 1.

Answer:

-4, -3, 2, 5

Step-by-step explanation:

hope this helps.

Answer:

-2,4

Step-by-step explanation:

Answer:

49-50 cookies

Step-by-step explanation:

Hope this was helpful, Have a Wonderful Day!!

Answer:

312500

Step-by-step explanation:

I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong

Answer:

There are 48 cups in 3 gallons!

Hope this helped! :)

Answer:Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation

Step-by-step explanation:

This question is incomplete, the complete question is;

In a country, 31 % of the people that voted for candidate AA are women. Moreover, 10% of the population are women and voted for AA. What is the percentage of people that voted for candidate AA?

Answer:

the percentage of people that voted for candidate AA is 32.3%

Step-by-step explanation:

Given that;

31 % of the people that voted for candidate A are women

P( women/Candidate AA) = 0.31

Moreover, 10% of the population are women and voted for AA

P( women & candidate AA) = 0.10

so

p( Candidate AA) =  P( women & candidate AA) / P( women/Candidate AA)

p( Candidate AA)  = 0.10 / 0.31

p( Candidate AA)  = 0.323

p( Candidate AA)  = 32.3%

Therefore the percentage of people that voted for candidate AA is 32.3%

Answer:

( 5 , - 2 )

Step-by-step explanation:

( 10 × [tex]\frac{1}{2}[/tex] , - 4 × [tex]\frac{1}{2}[/tex] ) = (5, - 2)

Answer:

The answer is 5.1.

(-5.13 5.1 -4.8)

Hope this helps! <3

Answer:

It is 5.1.

Step-by-step explanation:

I took the test. Have a great day :)

Answer:

Answer is C, u can find this just by looking at domain

Answer:

remember,a percent means "per 100".You can describe the change as a fraction comparing the amount of change to the original and then use a proportion to rewrite your problem as a percentage out of 100.

Answer:

22≥4m-2=6

5-3m<-13=6

Step-by-step explanation:

The inequalities  22 ≥ 4m - 2 or 5 - 3m ≤ - 13 is m ≤ 6 or m ≥ 6.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

22 ≥ 4m - 2.

4m ≤ 22 + 2.

4m ≤ 24.

m ≤ 24/4.

m ≤ 6.

5 - 3m ≤ - 13.

- 3m ≤ - 13 - 5.

- 3m ≤ - 18.

3m ≥ 18.

m ≥ 18/3.

m ≥ 6.

So, m ≤ 6 or m ≥ 6.

learn more about inequalities here :

https://brainly.com/question/30228778

#SPJ2

Correct is;

A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.

(a) What is the meaning of the derivative f '(x)?

What are its units?

(b) In practical terms, what does it mean to say that f '(2000) = 10?

(c) Which do you think is greater,

f '(200) or f '(600)? What about f '(4000)?

Answer:

A) f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.

It's unit is $/yard

B) f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.

C) f' (200) > f'(600)

f'(4000) > f'(600)

Step-by-step explanation:

A) Since the cost of producing x yards of this fabric is C = f(x) dollars. f'(x) simply means the rate of change of C with respect to x.

In clearer terms, the derivative f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.

It's unit is $/yard

B) To say f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.

C) f '(200) is greater than f'(600) because the cost of making the 600th yard will be less than the cost of the 200th yard. Reason for this is due to economics of scale as the manufacturer will certainly make more efficient use of fixed costs of production.

As more units are produced, there may likely be more overtime costs and thus the rate of increase cost of production will likely increase faster.

Thus;

f'(4000) > f'(600)

Answer :

13.25 x 64

=848

Answer:

453x  ^64 /4

​

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

that's 53 °not 90 i thought

Answer:

[tex]x = 40[/tex]

[tex]y = 5[/tex]

Step-by-step explanation:

[tex]4x = 2x+80\\2x = 80\\x = 40[/tex]

Edit: Solve for Y

A straight line is 180 degrees so one side (the x side) is 160°, The Y side is 20, and  you can work backwards by -

[tex]8y - 20 = 20\\8y = 40\\y = 5[/tex]

Answer:

y=4x+3

y=-2x+3

Step-by-step explanation:

Answer:

it's related by product of 5/3 and directly proportional

Answer:

-7.5

Step-by-step explanation:

Answer:

What value of v makes the equation 3.1v + 1 = 2.5v – 3.5 TRUE? Show your work.

Step-by-step explanation:

Answer:

its greater than 10 but lesser than 100 because simplifying them in fractional form indeed informs u that its greater than 10

Answer:

Step-by-step explanation:

The area of circle with radius of 2 yd (the length of the rope) is:

Since 1/4 of the circle is occupied by the shed, the area of the grass is:

Let the area be 30 yd², finding the r as per above formula:

Answer:

option 2

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!

Answer:

Step-by-step explanation:

15.75 plus .05x = 16.53-.13x

.78=.18x

4.3 hours is your answer