Paul works at a car wash company. • The function f(x) = 10. 00x + 15. 50 models his total daily pay when he washes x cars, • He can wash up to 15 cars each day. What is the range of the function? А 0<_f(x) <_165. 50 B. 0<_f(x) <_15, where x is an integer C. {5. 50, 10. 50, 15. 50,. . , 145. 50, 155. 50, 165. 50} D. {15. 50, 25. 50, 35. 50,. , 145. 50, 155. 50, 165. 50)

Answers

Answer 1

The range of the function f(x) = 10.00x + 15.50 is {15.50, 25.50, 35.50, . . , 145.50, 155.50, 165.50}.

The given function f(x) = 10.00x + 15.50 models the total daily pay of Paul when he washes x cars. Here, x is the independent variable that denotes the number of cars Paul washes in a day, and f(x) is the dependent variable that denotes his total daily pay.In this function, the coefficient of x is 10.00, which means that for each car he washes, Paul gets $10.00. Also, the constant term is 15.50, which represents the fixed pay he receives for washing 0 cars in a day, that is, $15.50.Therefore, to find the range of this function, we need to find the minimum and maximum values of f(x) when 0 ≤ x ≤ 15, because Paul can wash at most 15 cars in a day.The minimum value of f(x) occurs when x = 0, which means that Paul does not wash any car, and he gets only the fixed pay of $15.50. So, f(0) = 10.00(0) + 15.50 = 15.50.The maximum value of f(x) occurs when x = 15, which means that Paul washes 15 cars, and he gets $10.00 for each car plus the fixed pay of $15.50. So, f(15) = 10.00(15) + 15.50 = 165.50.Therefore, the range of the function is 0 ≤ f(x) ≤ 165.50, that is, {15.50, 25.50, 35.50, . . , 145.50, 155.50, 165.50}.

Hence, the range of the function f(x) = 10.00x + 15.50 is {15.50, 25.50, 35.50, . . , 145.50, 155.50, 165.50}.

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Related Questions

can someone please help me I only have a few minutes ​

Answers

Answer:

(x + 8)(y - 3)

Step-by-step explanation:

Since you have a few minutes left, I will make this quick.

Focus on one letter within the trapezoid ABCD. Pick a certain letter that can correlate to trapezoid A'B'C'D'.

If we move B to B', we would notice it takes 8 skips,therefore (x + 8). If we do the same for y, we would notice it takes 3 skips down. Therefore (y - 3)

10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial

Answers

Answer:

So what is the question? probably to describe the polynomial 10v^2 + 50. okay. the polynomial is a quadratic (it is to the 2nd power) and a binomial (2 terms).

What is the equation for a line with a slope of 5 and a y-intercept of 11?

Answers

Answer:

y=5x+11

Step-by-step explanation:

Which of the following statements is NOT a property of parallelograms?
Opposite angles are congruent.
Opposite sides are parallel.
Parallelograms have 4 straight sides.
All sides are parallel.

Answers

Answer:its that all sides are parallell

Step-by-step explanation:

because it has two sets of parrallel sides all of them are not paralell

Answer:

All sides are parallel.

Step-by-step explanation:

shapes can't even be made if all the sides are parallel. The angles need to be added up to 360 degrees. There won't even be angles if all the lines are parallel. The opposite sides have to be parallel.

A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?

Answers

Answer:

First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.

Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.

Length = 12 feet

Width = 8 feet

Please please help asap!!! I will mark brainliest!!!

Answers

Answer:

The other angle is 63 if it is asking what I think it is asking

Step-by-step explanation:

If it is right can you mark brainliest

Answer:

63 or 72

Step-by-step explanation:

(x^2+3x^2-kx-24)÷(x+3) what's the value of k??​

Answers

Answer:

-4

Step-by-step explanation:

since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;

x+3 = 0

x = -3

Substitute x = -3 into the polynomial

x^2+3x^2-kx-24 = 0

(-3)^2+3(-3)^2-(-3)k-24 = 0

9 + 27 + 3k - 24 = 0

36-24 + 3k = 0

12 = -3k

k = -12/3

k = -4

Hence the value of k is -4

Does the point (6, 0) satisfy the equation y = x + 6?
yes or no​

Answers

Answer:

No.

Step-by-step explanation:

You have to replace the (6,0) with the equation at hand. So, since 6 is in the X spot and 0 is in the Y spot, the equation would then look like 0=6+6. The equation is false as you can see.

No, this point does not lie on the line y = x + 6.

What is the general equation of a Straight line?

The general equation of a straight line is -

y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                 {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}x/a + y/b = 1                                        {intercept form}x cos(β) + y sin(β) = L                         {Normal form}

We have the equation of line as -

y = x + 6

For point (6, 0), we can write -

0 = 6 + 6

0 ≠ 12

Therefore, no, this point does not lie on the line -

y = x + 6

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Solve. Then, rewrite the complete number sentence in decimal form

Answers

Step-by-step explanation:

a)

6.9+1.1= 8

b)

9.9+2.45=12.35

[tex]12 \frac{35}{100} [/tex]

c)

2.4+8.9=11.3

[tex]11 \frac{3}{10} [/tex]

d)

6.37+7.7=14.07

[tex]14 \frac{7}{100} [/tex]

Which of the following could be the side lengths of a right triangle?

Question 1 options:

1 in, 2, in, 3 in


2 m, 5 m, 5 m


12 ft, 16 ft, 20 ft


3 in, 4 in, 6 in

Answers

Answer:

its C

Step-by-step explanation:

it cant be b because there would be no longest side

neither d or a because ive done the math for it

Which of the following indicates that ABC and DEF are similar?

Answers

Answer:

The answer of the question is b

Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A, ΔABC ~ ΔDEF.

What are similar triangles?

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.

For the two triangles, we can denote the similarity ΔABC ~ ΔDEF.

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State whether the triangles are similiar if so write a similarly statement for brainliest

Answers

Answer:

Step-by-step explanation:

The triangles are not similar.

The Triangles are not similar

I REALLY NEED HELP!!!!

Answers

Answer:

1  2/8 inches

Step-by-step explanation:

smallest = 2/8

largest = 1 4/8

difference = 1 2/8

Erik used 28 centimeters of tape to wrap 7 presents. How much tape will Erik need in all if he has to wrap 12 presents? Solve using unit rates.

Answers

Answer:

Length of tape required to wrap 12 presents is 48 centimeters.

Step-by-step explanation:

Length of tape required to wrap 7 presents = 28 centimeters

Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters

Therefore,

Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present

= 12 × 4

= 48 centimeters

1. simplify the following fractions: 12/36

Answers

Answer:

1/3

Step-by-step explanation:

12/36 = 6/18 = 3/9 = 1/3

The answer is 1/3. .

-20 2 -6 -18 4 -4 put them from least to greatest

Answers

-20 -18 -6 -4 2 4 this is the answer
[-20, -18 , -6 , -4 , 2 , 4 ]

the sum of two numbers is 84 and one of them is 12 more than the other what are the two numbers​

Answers

The first number is x

The second number is y

So according to the given condition the sum of these two numbers is 84, so we can write

x+y=84 ————-(1)

Again one of them is more than 12 than the other that's why we can write,

x+12=y -------------(2)

Now putting the values of y in equation (1) we get,

x+x+12=84

=>2x+12=84

=>2x+12–12=84–12

=>2x=72

=>2x/2=72/2

=>x=36

Taking the value of x in equation(2) we get,

36+12=y

=>y=48

The two numbers are 48 and 36.

Check:

48+36=84

=>84=84

Also 48 =36+12; which is more than 12 of 36.

What is the y-intercept

Answers

Answer:

-2

Step-by-step explanation:

hope this helps!!!!!!!?

a rectangular garden measures 22.7 m by 16.6 m how many meters of fencing materials are needed to enclose it the fencing materials cost 12.50 per meter​

Answers

Answer:

78.6m of fencing

That would cost $982.50

Step-by-step explanation:

Perimeter: 2(22.7)+2(16.6)=P

P = 78.6

Cost: 78.6*12.50

C = 982.50

please simplfy 7x + 6 + 3x – 2 – 5x

Answers

Answer:

5x+4

Step-by-step explanation:

Answer:

5x + 4

Step-by-step explanation:

7 + 3 - 5 = 10 - 5 = 5x

6 - 2 = 4

5x + 4

What are the intercepts of the graphed function?


x-intercept = (0, –1) y-intercept = (0, –3)

x-intercept = (0, –1) y-intercept = (–3, 0)

x-intercept = (–1, 0) y-intercept = (0, –3)

x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!

Answers

Answer:

The first option.

Step-by-step explanation:

Please help ❤️❤️❤️❤️❤️❤️❤️

Answers

Answer:

-3/7

Step-by-step explanation:

find two lattice points

the ones I found are (-3, 3) and (4, 0)

use the slope formula

(0-3)/(4-(-3)) = -3/7

What is the slope of the line in the graph? HELPPPPPPPP WILL GIVE BRAINLYIST TO CORRECT ANSWER!!!!!

Answers

Answer:

(-1,1),(-2,-1)

Step-by-step explanation:

brainliest please

Which number makes the equation true?

blank divided by eighteen equals one third

Question 13 options:

32


24


12


6

Answers

Answer:

6

Step-by-step explanation:

x/18 = 1/3

3x = 18

x = 6

Write an algebraic expression for three times the quantity q minus eleven

Answers

3q - 11

So it says 3 times the quantity q so we can represent this as 3q. Next, it says to minus 11, take the 3q and minus 11 from it , like this 3q - 11. Then, you have your answer!

Hope this helps!!
- Kay :)

What is the range of the function shown on the graph above

Answers

You did not attach a picture of the graph

please help this is algebra II

Answers

Answer:

m=5

Step-by-step explanation:

Target sells 3 apples $1.50 what is the cost of 20 apples

Answers

Answer:

$10

Step-by-step explanation:

1.50 divided by 3 = 0.50

0.50 x 20 = 10

-2x^3+15x^2-22x-15; (x-3) polynomial function

Answers

Answer: Down Below

Step-by-step explanation: Solving for -2x^3 + 15x^2 - 22x - 15(x - 3) = 0

Standard form:

−2x3 + 15x2 − 37x + 45 = 0

Factorization:

−(2x − 9)(x2 − 3x + 5) = 0

(3x3_10x=2x+20)=(x-3)

Answers

Answer:

is that 3 time 3 or it is 3x? do you meant minus by using underscore?

Step-by-step explanation:

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