Harrison started a part-time job in order to pay for his gas to get to school and work. His job pays $9.50 per hour. His school has a rule that states that students cannot work more than 15 hours per week. He needs to earn at least $28.50 per week to pay for his gas. A. Write a function f(h) describing how much he will earn as a function of h hours worked. B. Based on the parameters described in the problem, what are the domain and range of the function rounded to the hundredth

Answers

Answer 1

f (15) = $142.50

i hope this help you!

Answer 2

We know that:

Harrison gets $9.50 per hour of work.

He can work a maximum of 15 hours per week.

He needs to earn a minimum of $28.50 per week.

A) We want a function f(h) that tells how much he wins in a week if he works h hours.

So we know that he gets $9.50 per hour of work, then if he works h hours, he gets h times $9.50, then we can just write:

f(h) = $9.50×h

B) First remember that the domain is the set of possible values of h, and the range is the set of possible values of f(h).

We know that the maximum value of h is 15, to find the minimum value of h we need to use the other restriction, that he needs to win at least $28.50, then we need to solve:

$9.50×h = $28.50

h = ($28.50)/($9.50) = 3

Then we can conclude that the domain is:

D = [3, 15]

To find the range, we just need to evaluate the function in the minimum and maximum values of the domain:

f(3) = $28.50

f(15) = $142.50

Then the range is:

R = [$28.50, $142.50]

If you want to learn more, you can read:

https://brainly.com/question/9446123


Related Questions

Help please due in like seven minutes!!!

Answers

the answer is simply B. the slop is going down and it’s negative so it would be negative slope .

The correct answer is B/the second option.

The reason is that you can find slope by doing y2-y1/x2-x1, however x1 was put before x2 and therefore the slope was wrong. Good luck !! :)

help math!!

------------------

Answers

Answer:

your answer is 5.............

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

E. 13

Solution is in attachment ~

Yesterday, Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much did she pay for the crackers?

Answers

Answer:

$10.36

Step-by-step explanation:

4•2.59=10.36

hi please help me with number one:)

Answers

Answer:

(0,-1); (0,-2); (2,0); (2,-2)

Step-by-step explanation:

when rotating 180 degrees all the points have their coordinate sign's flipped.

so the points go from:

(0,1) --> (0,-1)

(0,2) --> (0,-2)

(-2,0) --> (2,0)

(-2,2) --> (2,-2)

so your new shape will have the points (0,-1); (0,-2); (2,0); (2,-2)

y>-4 help PLZ......!?!?!?!?!?

Answers

Answer:

0

Step-by-step explanation:

5. Higher Order Thinking if 1/2 multiplied
by , 1/2 will the product be greater than ?
Explain.

Answers

Answer:

No

Step-by-step explanation:

1/2 times 1/2 = 1/4

Mr. Jones has 14 blue pencils the rest of his pencils are red. He has twice as many blue pencils as red pencils how many total pencils does mr. Jones have

7 pencils
21 pencils
28 pencils
42 pencils

Answers

Answer:

Mr. Jones would have 21 total pencils.

Answer:

42

Step-by-step explanation:

multiply 14 times 3

Find an equation of the line with slope 3 that
contains the point (7.11).
y = mx + b

Answers

The equation would be: Y = 3x + -10

Can someone help pls I got confused

Answers

#1

x=46°(Opposite interior angles)

#2

[tex]\\ \sf\longmapsto x+68=180\implies x=180-68=112°[/tex]

#3

x=111°(Corresponding interior angles)

#4

x=37°(Opposite angles)

#5

x=58°(Opposite interior angles)

#6

x=175°(Corresponding interior angles)

#7

x=25°(Corresponding interior angles)

Answer:

Hey there,

(1) x = 46° ( Alternative angles are equal)

(2)  x + 68 = 180 ( Interior angles are added up to 180° )

     x = 112°

(3)  x = 111° (  Corresponding angles are equal)

(4)  x = 37° ( Opposite angles are equal )

(5)  x = 58° ( Alternative angles are equal )

(6) x = 175° ( Corresponding angles are equal )

(7)  x = 26° ( Corresponding angles are equal )

Hope this helps you

Let me know if you have any other questions :-)

True or false? Multiplying a number by itself creates as “perfect square”.

Answers

Answer:

true

Step-by-step explanation:

What are the answers to these three questions ?

Answers

14. Seven more than the quotient of a number and -2 is 6.

x/-2 + 7 = 6
x/-2 = -1
x = 2

15. Twice a number plus 5 is -3.

2x + 5 = -3
2x = -8
x = -4

16. The difference of twice a number and 3 is 11.

2x - 3 = 11
2x = 14
x = 7

Someone help please quickly
3(x-2)/4 + 3(x-3)/8 = 1/2
● 1/9
● 9
● 1/3
The / are the fraction lines not divide​

Answers

9514 1404 393

Answer:

  x = 25/9

Step-by-step explanation:

  3(x-2)/4 + 3(x-3)/8 = 1/2 . . . . given

  6(x -2) +3(x -3) = 4 . . . . . . . . multiply by 8

  6x -12 +3x -9 = 4 . . . . . . . . . eliminate parentheses

  9x -21 = 4 . . . . . . . . . . . . . . . collect terms

  9x = 25 . . . . . . . . . . . . . . . .  add 21

  x = 25/9 . . . . . . . . . . . . . .  divide by 9

Answer:

I got =

[tex]2 \ \frac{7}{9} [/tex]

Step-by-step explanation:

[tex] \frac{3(x - 2)}{4} + \frac{3(x - 3)}{8} = \frac{1}{2} [/tex]

[tex]6x - 12 + 3x - 9 = 4 \\ 9x - 21 = 4 \\ 9x = 25 \\ x = \frac{25}{9} = 2 \ \frac{7}{9} [/tex]

-4 = u - 7 solve for u

Answers

Answer:

u = 3

Step-by-step explanation:

-4 = 3 - 7

u = 3 Hope this helps!

In 2016, George Washington's birthday fell on Friday, February 12. On what day of the week does George's birthday fall in 2025?

I need Solutionn pleasee​

Answers

Answer:

the Day falls one day after every year which means that this one will fall on a

Step-by-step explanation:

wedsnday

Please help!! Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:  7

============================================================

Work Shown:

[tex]a^2 + b^2 = c^2\ \text{ ... pythagorean theorem}\\\\4^2 + x^2 = \left(\sqrt{65}\right)^2\\\\16 + x^2 = 65\\\\x^2 = 65-16\\\\x^2 = 49\\\\x = \sqrt{49} \ \text{ ... only consider the positive root}\\\\x = 7\\\\[/tex]

How can I solve 8.5 x (-4)?​

Answers

Answer:

-34

Step-by-step explanation:

you would first solve it like a normal equation and ignore the negative;

0.5 * 4 is 2

8 * 4 is 32

32 + 2 = 34

and then you would add the negative sign- because there is only one side with a negative sign, it is negative

if the equation had both sides had a negative, it would be positive

Line a passes through points (3, 6) and (1, 15). Line b is parallel to line a. What is the slope of line b?

Answers

Answer:

9/-2

Step-by-step explanation:

First, find the slope

(15-6)/(1-3)

9/-2

Answer:

[tex]slope\ of \ line\ b = - \frac{9}{2}[/tex]

Step-by-step explanation:

Since line a and b are parallel, the slope of a = slope of b.

therefore,

[tex]slope\ of \ line\ a = \frac{y_2 - y_1}{x_2-x_1} \ \ \ \ \ x_ 1 = 3 , \ y_ 1 = 6 \ , \ x_2 = 1 , \ y_2 = 15[/tex]

                    [tex]=\frac{15-6}{1-3}\\\\=\frac{9}{-2}\\\\= - \frac{9}{2}[/tex]

                   [tex]= slope\ of \ line \ b[/tex]

(3,1) m=2

show werek​

Answers

First we need y intercept

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 1=2(3)+b[/tex]

[tex]\\ \sf\longmapsto 1=6+b[/tex]

[tex]\\ \sf\longmapsto b=-5[/tex]

Equation of the line:-

[tex]\\ \sf\longmapsto y=2x-5[/tex]

Answer:

y = 2x - 5

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (3, 1 ) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of line

what is the
The value of y varies directly with x. If x = 3, then y
value of x when y= 168?

Answers

X=21
3/24=0.125
0.125x168=21

3
Simplify:1/4 (15 – 6) +3 : 12
A. 2
B. 3
C. 41
D. 5
7
12

Answers

Answer:  5.25 or 5.5 [see note]

Step-by-step explanation:

1/4 (15 – 6) +3  [I'm not clear what is meant by the " : 12," so I left it out.]

1/4 (9) +3

9/4 + 3

2.25 + 3 = 5.25

===

If it is supposed to read

1/4 (15 – 6) +3/12

Then it would be

5.25 + 0.25 = 5.5

What is the area? IXL assignment

Answers

Answer:

(36.4+18.7)x22.3/2 = 614.365

Step-by-step explanation:

up+downxheight/2

What’s the answer to ……….. 5/9t-27=1/9t+21

Answers

Answer:

5/9t-27-(1/9t+21)=0

Diana owns a novelty shop in downtown San Antonio. She ordered a shipment of 48 party hats. Of the 48 hats that she ordered, 25% were blue. How many of the hats are blue?

Answers

Answer:

12

Step-by-step explanation:

48 divided by 2 is 24 which means 48 divided by 4 is 12

if you are told to distribute Rs 1,200 among 15 children what mathamatical operation will be used? if you answer this i will put you a brainalist

Answers

Answer:

dividing

Step-by-step explanation:

because dividing is the one and the only method to give 15 children equal money

A group of 5 friends is shering 2 pounds of trail mix .Write a division problem and a fraction to represent this situation ​

Answers

Answer:

Division problem - 2/5

Fraction - 2/5

Step-by-step explanation:

The answer is the same because in mathematical situations, division and fraction is considered same.

mary filled a water cooler with 6 1/2 gallons of water. She forgot to close the plug and 3 5/6 gallons leaked out?

help

Answers

First convert the 6 1/2 gallons into 6 3/6.

Now, subtract 3 5/6 from 6 3/6.

The answer is 2 4/6

Answer: 2 2/3 gallons left

explanation:

6 1/2 = 6 3/6

6 3/6 - 3 5/6 = 2 2/3

proof: 2 2/3 + 3 5/6 = 6 3/6

Write the equation for the line passes through (6, -2) and (-3, 1).
*You must show all your work to get credit.
PLS HELP DUE IN 10 min

Answers

Answer: y= -3x + 16

Step-by-step explanation:

I'm assuming that you mean a linear equation

So the first thing that you want to do is find the slope for the line.

1-(-2) / -3 - 6= -9/3= -3

Now that you have the slope you can pick one of the points to plug in.

-2 = -3(6) + b

We don't know what the y intercept is so we'll need to solve for that.

-2= -18 + b

add -18 to -2

16=b

so your equation will be

y= -3x + 16

fraction in lowest terms 33 1/3

Answers

Answer:

If you are asking for its improper fraction form then it is 100/3

Step-by-step explanation:

33*3 (3 is the denominator) = 99

1/3 + 99/3 = 100/3

You can not divide 100 by 3 (and get a whole number), and therefore it can not be simplified  anymore and is the lowest possible term for fractions.

Ex. 2/4 can be simplified to 1/2 but 3/4 can not be simplified anymore.

Another example:

12 1/4

12*4 = 48

1/4 + 48/4 = 49/44

Help!! I’ll mark brainly list but explain

Answers

Answer:

See below, please.

Step-by-step explanation:

[tex] \frac{ {(4a - 3b)}^{3} }{c + 5} \\ \ \\ = \frac{ {(4 \times ( - 2) - 3 \times ( - 3))}^{3} }{3 + 5} \\ = \frac{ {(( - 8) - ( - 9))}^{3} }{8} \\ = \frac{ {( - 8 + 9)}^{3} }{8} \\ = \frac{ {1}^{3} }{8} \\ = \frac{1}{8} [/tex]

Help! I’ll mark brainly list but please explain!!

Answers

the answer is 4 [9.75] + 2 (6.25) + 4.75

u would find the price of the movie tickets and popcorn. since your only buying one water, u don’t need to multiple the price by anything.
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