The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2

Answers

Answer 1

Answer:

d) f(x) = 5x + 2

Step-by-step explanation:

First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.

Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2

To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.

Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2


Related Questions

if f(x)= 4x+1 find f(3)

Answers

Answer:

13

Step-by-step explanation:

f(x)=4x+1

f(3)=?

f(3)= 4(3)+1= 12+1=13

Answer:

13

Step-by-step explanation:

x convert to 3

f(x)= 4(3)+1

f(x)= 12+1

f(x)= 13

I am not sure with the answer though, I just tried. I hope it helped you. ❤

Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend

Answers

answer:

Juanita spent 1 1/2 times as much as Jared, how much did she spend?

$63

explanation:

one and a half of 42 is: 63

so,

the answer is Juanita spent $63!

Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.

What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

How are mixed fractions written?

Follow these procedures to convert an incorrect fraction to a mixed number:

Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.

Given: Jared spent $42 on a cell phone.

We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.

So,

42(3/2) = $63

Therefore, Juanita spent $63 which is  3/2 amount spent by Jared in buying the cell phone.

Learn more about mixed fraction here:

https://brainly.com/question/414559

#SPJ2

(1,0) (2,1) put into standard form

Answers

Answer:

(1,0) (2,1) = (0) (2,1) = (0) (2) = 0

Step-by-step explanation:

1,0 is multiplication which would be 0 and the same applies for 2,1 which would be 2. 0 x 2 is 0 you know it's multiplication because there's no symbol between the parenthesis.

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)

Answers

Answer:

f(x) is continuous on the interval [0, 1], f(0) = -2 , and f(1) = 1.718 . Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)

Step-by-step explanation:

From the question we are told that

   The equation is [tex]f(x) = e^x - 3-2x [/tex]  

    The interval is  [0, 1]

Generally f(0) is  

      [tex]f(0) = e^0 - 3-2(0) [/tex]

=>   [tex]f(0) = 1 - 3-2(0) [/tex]  

=>    [tex]f(0) = -2[/tex]  

Generally f(1) is

       [tex]f(1) = e^1 - 3-2(1) [/tex]

       [tex]f(1) = e^1 - 1 [/tex]

       [tex]f(1) = 1.718 [/tex]

From the value we see that at x =  0  , f(0) =  -2 which is below the x-axis

    and  the  at  x = 1  , f(1) =  1.718  which is above the x-axis

Now  the according to Intermediate Value Theorem , given the condition stated above, there will exist a root c in the interval  such that

    f(c) =  0  

5. If three times a number is increased by 4, the result is -8.

Answers

False

I think that’s right because three times 5 is 15 increased by four is 19 not -8 so...

Step-by-step explanation:

Hey there!

Let the unknown number be x. Then;

According to the question;

3x+4= -8

3x = -12

x = -12/3

Therefore, x = -4

Check:

3*-4 +4 = -8

-12+4 = -8

-8= -8 (True).

Hope it helps...

There are approximately 330,000,000 cubic miles of water on Earth. A cubic mile is approximately 147,200,000,000 cubic feet. How much water is on Earth? Estimate using scientific notation

Answers

Answer: 4.8576 × 10^19 cubic feet of water.

Step-by-step explanation:

330m * 147.2b = 48 quintillion feet.

Answer:

5 x 10^19 ft^3

Step-by-step explanation:

Calculate the area of the trapezoid.
12 mm
5 mm
9 mm
________square millimeters

Answers

Answer:

52.5 square millimeters.

Step-by-step explanation:

Area of a Trapezoid = (a+b/2)h

= (9+12/2)•5

=(21/2) • 5

= 10.5 • 5

= 52.5 square millimeters

hope this helps!

Answer:

52.5 mm^2 (square millimeters)

Step-by-step explanation:

Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)

Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).

The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).

Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.

Add both areas to find the total area:

45mm^2 + 7.5mm^2 = 52.5 mm^2.

____________________________

Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2

Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.

Given that our first base is 9, second base is 12, and our height is 5.

A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5

Then just put this quantity in mm^2 because it is the area of the figure in that unit.

→ 52.5 mm^2

_____________________________

Chan Hee bought 6.4 pounds of coffee that cost $9.65 per pound. How much did he spend on coffee
?

Answers

Answer: $61.76

Step-by-step explanation:

Multiply the price of coffee ($9.65) times the weight (6.4)

=$61.76

Answer:

50.18

Step-by-step explanation:

.

Maria incorrectly placed the decimal
point when she wrote 0.65 inch for the
width of her tablet computer. What is the
correct decimal number for the width?

Answers

Answer: 6.5 inches

Step-by-step explanation:

this measurement makes the most sense for the width of a tablet computer

The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from City A to City B is 100 miles. The distance from City A to City C is 110 miles. Find the distance from CIty B to City C. Distance= __________miles

Answers

Answer:

144.66

Step-by-step explanation:

So here we use the Pythagorean theorem assuming that city b to c is the longest distance so we do 100^2+110^2=22100 then the square root 22100 which is approximately 148.66

Time and then should be ur answer

Which statement correctly describes the expression ( - 15)3?

Answers

Answer: One factor is positive and one is negative, so the product will be negative.

Answer:

One factor is positive and one factor is negative, so the product will be negative

Step-by-step explanation:

If you see there (-15)3 so -15 is a negative number and 3 is a positive and when you multiple a negative number with a positive number it becomes negative.

Use the information to find the minimum sample size required to estimate an unknown population mean µ. Margin of error: $110, confidence level: 95%, σ = $500. Group of answer choices

Answers

Answer:

The minimum sample size required is 79.

Step-by-step explanation:

The following are given in the question:

e = Margin of error = 110

σ = Standard deviation = 500

Confidence level = 95%

n = Minimum sample size = ?

Therefore, we have:

Zσ = 1.96 at 95% confidence level

s.e. = Standard error = σ / [tex]\sqrt{n}[/tex] = 500 /

Alternatively, margin of error can be calculated as follows:

e = s.e. * Zσ = 110 ................... (1)

Substituting the other values into equation (1) and solve for n, we have:

500 / [tex]\sqrt{n}[/tex] * 1.96 = 110

500 / [tex]\sqrt{n}[/tex]  = 110 / 1.96

500 / [tex]\sqrt{n}[/tex]  = 56.1224489795918

500 = 56.1224489795918 *  [tex]\sqrt{n}[/tex]  

[tex]\sqrt{n}[/tex]  = 500 / 56.1224489795918

[tex]\sqrt{n}[/tex]  = 8.90909090909092

[tex]n^{\frac{1}{2}[/tex] = 8.90909090909092

Squaring both sides, we have:

([tex]n^{\frac{1}{2}[/tex])^2 = (8.90909090909092)^2

n = 79.3719008264465

Approximating to a whole number, we have:

n = 79

Therefore, the minimum sample size required is 79.

The quarter note is the note with the shortest duration.
True
False

Answers

Answer:

false

Step-by-step explanation:

A 256th note is known as a demisemihemidemisemi quaver

Answer:

False

Step-by-step explanation:

because its not the shortest there are another

whats 62.7×2.45......?

Answers

Answer:

153.615

Step-by-step explanation:

62.7 × 2.45=153.615

Do you think that T I K T O K will be not allowed to operate in the United States?
Explain.

Answers

Answer:

Step-by-step explanation:

I think it will not because there are a lot of tiktokers and a big amount of tik tok users

Answer:

yes

Step-by-step explanation:

Someone Help Me Please. ?

Answers

Answer:

I’m guessing number 3

Step-by-step explanation:

which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST !!!

Answers

Answer:

II and III

Step-by-step explanation:

I...

-9 - 5x > -1

-9 - 5(2) > -1

-9 - 10 > -1

-19 > -1

FALSE

II...

-9 - 5x > -1

-9 - 5(-5) > -1

-9 + 25 > -1

16 > -1

TRUE

III...

-9 - 5x > -1

-9 - 5(-10) > -1

-9 + 50 > -1

41 > -1

TRUE

Best of Luck!

Answer:

II. and III.

Step-by-step explanation:

-9 - 5x > -1

I. 2

-9 - 5(2) > -1

-9 - (10) > -1

-19 > -1

- 19 is not more than -1, thus I. is not an option

II. -5

-9 - 5(-5) > -1

-9 + 25 > -1

16 > -1

16 is more than -1, thus II. is an option

III. -10

-9 - 5(-10) > -1

-9 + 50 > -1

41 > -1

41 is more than -1, thus III. is an option

Note that common skills are listed toward the top, and less common skills are listed toward the bottom. According to O*NET, what are common skills needed by Nursery and Greenhouse Managers? Check all that apply. programming management of personnel resources repairing speaking coordination technology design monitoring installation

Answers

Answer:

management of personnel resources, speaking, coordination, and monitoring

Step-by-step explanation:

:)

Answer:

1 4 6

Step-by-step explanation:

Line M passes through the points (-5, 9) and (-1, 9) which is true of line M?
A: line M is a vertical line with an undefined slop
B: line M is a vertical line with a slope of zero
C: Line M is a horizontal line with an undefined slope
D: Line M is a horizontal line with a slope of zero

Answers

Answer:

D: Line M is a horizontal like with a slope of zero

Step-by-step explanation:

A vertical line would have the same x-value for coordinates but different y-values. It would also have an undefined slope.

Therefore, we can rule out A and B.

A horizontal line always has different x-values but the same y-value. It would also have a slope of zero.

Therefore, C is wrong and D is our answer.

Let's first find the slope of the line.

We can do this using the slope formula.

m = y₂ - y1 / x₂ - x₁

We take the second y minus the first y over the second x minus the first x.

So we have 9 - 9 / -1 - (-5).

So we have 0 / 4 which is 0.

So the slope of our line is zero.

We can eliminate any choices that say the slope is undefined.

Now, if we have a slope of zero, the line is flat or horizontal.

So we know line M has to be a horizontal or flat line with a slope of zero.

So our answer is D.

2 ( 3x + 1 ) = x - 8

Answers

Answer:

x=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

6x + 2 = x-8

6x - x = -8 -2

5x=-10

x=-2

so far 72 % of 300 tickets have been sold for the concert. How many tickets have been sold?

Answers

Answer:216 tickets

Step-by-step explanation

2(x + 1) = −2
writ this down on a piece of paper

Answers

Answer:

X= -2

Step-by-step explanation:

Never Going To Give You Up never going to let you down never gonna run around baby nor desert you Rick roll.. ​

Answers

yeeeeeeeeeer eeee ee e e we. we e e we e e eeeee e e e e e e e e e e e

Answer:

we're no strangers to love

Step-by-step explanation:

you know the rules, and so do I

G
Which fraction is equivalent to 6?
12 / 2
3
2 2+1 3
7, because
6 6+17
mo
2 1 1 3
because 6 - 3 and
39
2 /
3
12
2 1
because =
6 3 and
2
nd 3 -
3
12
2 1
8.
because 6 2
2+1 3
6+28

Answers

Answer:

what is the question

Step-by-step explanation:

i don't understand what you're trying to say

The points on a scatterplot increase rapidly. You run a linear regression on

the data. The residual plot shows a pattern, and is low.

Which of these methods would likely result in a better model of the data?

A. Run a quadratic regression on the data and then linearize the data.

B. Linearize the data by taking the log of the response variable, and

then run a linear regression.

C. Linearize the data by taking the logs of both variables, and then

run a linear regression.

D. Linearize the data by taking the log of the response variable, and

then run an exponential regression.

Answers

Answer:

B

Step-by-step explanation:

The method that would most likely result in a better model of the data is to :

Linearize the data by taking the log  of the response variable, and then run a linear regression.

A linear regression can be expressed as

[tex]log(y) = \beta _{0} + \beta _{1} x[/tex]

The linear regression is applied  to improve the model fitting and also helping to linearize the responses which causes an increase in the R-squared value.

Answer:

B

Step-by-step explanation:

Your god mother is baking a cake for your Halloween
party. She has a giant cake pan makes a cake four times
the size of any regular cake. The giant cake needs five
cups of flour. How many cups does a regular size cake
need?

Answers

Answer:

2

Step-by-step explanation:

Divide 4 into an even number, so its 2.

Answer:

1.25 or 1 and 1/4th

Step-by-step explanation:

you have to divide the cups of flower by the size of the pan

Estimate the average time spent picking one's nose in minutes per day

Answers

Answer: 2 minutes

Step-by-step explanation:

According to the book, ''Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin'', on average, everyone picks their noses for 2 minutes each day.

This figure is simply a reasonable compromise between the least and highest amount of time that people can spend picking their nose in a day as well as the assumption that everyone does it.

Find the equation of a line that contains the points (7,3) and (−7,2). Write the equation in slope-intercept form, using fractions when required.

Answers


Answer: Y=1/14x+5/2
Explanation: find the slope of the contains point first by using the slope formula. Then use the point slope formula to find the slope intercept.

Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their​ grade-point averages​ (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

SAT SCORE :

421

375

585

693

608

392

418

484

725

506

613

706

366

GPA:

2.93

2.87

3.03

3.42

3.66

2.91

2.12

2.50

3.24

1.97

2.73

3.88

1.58

Using the online linear regression calculator ; the regression model obtained is :

ŷ = 0.00345X + 1.00301

0.00345 = slope or gradient

1.00301 = intercept ; where the regression line crosses the y axis

X = independent variable or predictor variable ; y = dependent variable or predicted variable

Gabe and Gabriella must write expressions equal to 8(3 + 5). Gabe wrote 8(5 + 3). Gabriella wrote 8(3) + 8(5). Which statement is true about these expressions?

A. Gabe used Distributive Property
B. Gabe used Associative Property
C. Gabriella used Distributive Property
D. Gabriella used Associative Property

Answers

I think the answer is C.I’m not sure let me know what you get .
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