Steve completed 9 homework problems in class. The function p(m) relates the time (in minutes) Steve spent on his homework at home to the total number of problems he completed. The input is the number of minutes worked. The output is the number of problems completed.

p(m) = m/6 + 9

Which equation represents the inverse function m(p), which uses problems completed as the input and gives minutes worked as the output?

A. m(p) = 54p + 6
B. m(p) = 6p + 54
C. m(p) = 54p - 6
D. m(p) = 6p - 54​

Answers

Answer 1

Answer:

D. m(p) = 6p - 54​

Step-by-step explanation:

substitute p(m) for y and p for x

then switch x and y

y=x/6 + 9

then switch

x=y/6 + 9

then solve to get the answer

which is y=6x-54

or m(p) = 6p - 54​

Answer 2
Answer is D I believe so

Related Questions

Someone please help meee!!

Answers

Answer:x=9

Step-by-step explanation:

Add the numbers and the x's

39x+369= 6 angles

Formula 6-2=4×180=720

39x+369=720

-369. -369

39x =351

Divide by 39

X=9

Which statement could describe the graph?


A. After driving for 3 hours, Will stopped for lunch.

B.Will was stuck in traffic during the second and third hour of his trip so he was travelling slowly.

C.Will’s destination was 160 miles from where he started.

D.Will travelled at the fastest speed in the very beginning of his trip.

Answers

Answer:

C

Step-by-step explanation:

none of the others are graphically correct

Answer:

C, "Will's destination was 160 miles from where he started."

Step-by-step explanation:

The first and second choices are absurd. It doesn't give any reason or evidence that he stopped during that time. The time does not line up either. D, does not make sense because he only traveled 40 miles in 2 hours. But from hour 3 to 5 he traveled 120 miles.

Given f(n) is a geometric sequence where f(3)=32 and f(9)=72, find f(16).

I think the answer may be 64/27, but I don't know for sure.

Answers

Answer:

f(16)=162

Step-by-step explanation:

-In a geometric sequence, the quotient between any tow consecutive numbers is called the common ratio,r:

[tex]r=\frac{a_n}{a_{n-1}}[/tex]

Given that f(3)=32 and f(9)=72, we can find the common ratio as below:

[tex]r=\frac{a_n}{a_{n-1}}\\\\\therefore \frac{f(9)}{f(3)}=r^6\\\\\frac{72}{32}=r^6\\\\r^6=2.25\\\\r=2.25^{1/6}[/tex]

#We substitute and use the same formula to find the nth term:

[tex]a_n=ar^{n-1}[/tex]

let f(3) be a(the first term):

[tex]a_n=ar^{n-1}\\\\a_{16}=32(2.25^{1/6})^{16-3-1}\\\\a_{16}=32(2.25^{1/6})^{12}\\\\\\=162[/tex]

Hence, f(16)=162

What is the radius and diameter of the following circle?

11 cm
?

Radius-
Diameter-

Answers

Answer:

Radius: 5.5

Diameter: 22

Step-by-step explanation:

How do you know if an event is likely to happen or unlikely to happen?

Answers

Answer:

You will know if an event is unlikely or unlikely to happen if the following events that happen follow behind it.

Step-by-step explanation:

What fraction goes in the box to make it correct?
7
×

=
1

Answers

Answer: 1/7

Do Keep Change Flip

Keep: 7

Change: ÷ into ×

Flip: 7/1 into 1/7

Your new problem: 7×1/7

Multiply

7/1×1/7=7/7

7/7=1

The fraction that will fit into the box to make the equation correct is:  [tex]\mathbf{\frac{1}{7}}[/tex]

Let the missing fraction that will fit in the box be represented as x.

Thus, let's find x in the equation, 7 × x = 1

Solve for the value of x to get the fraction that will fit in to make the equation correct.

[tex]7 \times x = 1[/tex]

Divide both sides by 7

[tex]\frac{7x}{7} = \frac{1}{7} \\\\[/tex] (division property of equality)

[tex]\mathbf{x = \frac{1}{7}}[/tex]

Therefore the fraction that will fit into the box to make the equation correct is:  [tex]\mathbf{\frac{1}{7}}[/tex]

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Factor completely
x^2-14x+45
n^2+4n-32

Answers

Answer:

1. (x+9)(x-5)

2. (x+8)(x-4)

Step-by-step explanation:

use x-box method to simplify both problems

Final answer:

To factor the quadratic expressions, we look for pairs of numbers that multiply to give the constant term and add to give the coefficient of the middle term, resulting in the expressions (x - 9)(x - 5) for the first and (n + 8)(n - 4) for the second.

Explanation:

The question relates to factoring quadratic expressions, which is a fundamental skill in algebra. Specifically, we are looking to factor the expressions [tex]x^2[/tex] - 14x + 45 and [tex]n^2[/tex] + 4n - 32 completely. Factoring involves finding two binomial expressions that multiply together to give the original quadratic expression.

To factor [tex]x^2[/tex] - 14x + 45, consider two numbers that multiply to 45 and add to -14. These numbers are -9 and -5. Therefore, the factored form is (x - 9)(x - 5).

To factor [tex]n^2[/tex] + 4n - 32, we again look for two numbers that multiply to -32 and add to 4. These numbers are 8 and -4. Thus, the factored form is (n + 8)(n - 4).

What is the complete factorization of the polynomial below?
x3 + 9x2 + 26x + 24

Answers

Answer:

(x+2)(x+3)(x+4)

Step-by-step explanation:

Answer: 29x + 42

Explanation:

Multiply numbers and collect like terms

On a separate sheet of paper graph the following function. In the answer box describe the function.
f(x) = 2[x] – 3

Answers

Answer:

Answer

Step-by-step explanation:

The function is a greatest integer function, which is a step function.

Final answer:

The function f(x) = 2[x] - 3 features a step-like graph due to the floor function [x]. To graph it, calculate f(x) for integer values, plot the points, and draw horizontal lines between them. The function's range in this context is specified to be between 0 and 20.

Explanation:

The function given is f(x) = 2[x] - 3, where [x] denotes the greatest integer function, also known as the 'floor' function, which returns the greatest integer less than or equal to x. This type of function creates a step-like graph. When graphing this function, you'll notice that for every integer value of x, the function will take on a constant value until the next integer is reached, at which point it will jump up to the next 'step'.

To graph this function, you should first calculate the values of f(x) at various integer points within the given range. Then plot these points on a coordinate plane and create horizontal lines to represent the function's value between each pair of consecutive integer x values. For non-integer values of x, the function value will be based on the floor of x. Label your graph with f(x) and x. Make sure to scale the x and y axes with the maximum values, considering that in this case we are dealing with 0 ≤ x ≤ 20.

Find the slope of the line that passes through the two points given
SW. *
(4,3) & (3,-2)

Answers

Answer:

5

Step-by-step explanation:

The slope between (4,3) (3,-2) can be found using the following formula

m = (y2-y1)/(x2-x1)

   =(-2-3)/(3-4)

   = (-5)/(-1)

   =5

Please help me answer the question.

Answers

Answer:

63

Step-by-step explanation:

Each side is bigger by a factor of 9, i.e. 10*9=90, etc.

so 7 * 9 = 63

The value of x=63, since the second figure is being multiplied by a scale factor of 9 to get the first figure. You can multiply 7 by 9 to get 63, therefore being the length of side x.

what is the coordinate if (2,2) is reflected over the line x=2

Answers

Answer:

-2,2

Step-by-step explanation:

A tile store charges $607.50 to install 135 square feet of tile. Assuming they charge the same rate
per square foot regardless of the amount of tile installed, how much would they charge to install
840 square feet of tile?
Translate to a proportion:
square feet
square feet
They would charge
to install 840 square feet of tile.
The unit price for installation per square foot of tile is

Answers

Answer:

the tile is 4.50 per square foot to install

it will cost 3780.00 to install 840 square feet

Step-by-step explanation:

divide 607.50 by 135 to find out the price per square foot to install

multiply the price per square foot by the number of square feet you are installing so 4.50 X 840

Question 2 of 10
2 Points
The circle below is centered at the point (-2, 1) and has a radius of length
What is its equation?
(x+1)++
O
B. (x - 2)2 + (y + 1)
O
c. (x + 2)2 + (y- 1)2 =
O
D. (x - 1)2 + (y + 2)2
O

Answers

Think it’s B if I’m not right

Answer:

B is the answer to this problem

Which are the solutions of the quadratic equation?
Plzzz ASAP

Answers

Answer:

hello i dont even know how to do this

Step-by-step explanation:

Find the volume of the sphere. Use 3.14 for π. Round to the nearest tenth.

Answers

Answer: The answer is 904.32

Answer asap please :/

Answers

Answer:

the first answer is correct

Step-by-step explanation:

Answer:

The correct function is

A. y = -0.5x+100

PLEASE PLEASE PLEASE HELP ME !

Answers

I am sure that it B because it says given the vectors u= (4,3) and v= (-2,4) so it both


5.Last Sunday, 4 of the houses had some cars parked outside. If there
were 4 cars outside each house. How many cars were there in total?​

Answers

16 because it’s basic multiplication

A steel hex nut has two regular hexagonal faces and a hole with a diameter of 0.4 cm through the middle. Its mass is 3.03 grams.

Answers

Answer:

V=0.45

V=0.06

V=0.39

V=7.77

A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus was 60 mph. The speed of the truck was 45 mph. It took kids 3 hours to reach the camp. How long did they have to wait for their bags?

Answers

The kids have to wait for 1 hour to get their bags.

Step-by-step explanation:

Given that,

A bus with kids and a truck with their bags started moving from the school to the camp at the same time.

The speed of the bus was 60 mph.It took kids 3 hours to reach the camp.

To find the distance traveled by the bus :

Distance = Speed × Time

⇒ 60 × 3

⇒ 180 m

∴ The distance is 180 m.

To find the time taken by the truck to reach the camp :

The speed of the truck was 45 mph.We found the distance as 180 m.

Time taken = distance / speed.

⇒ 180 / 45

⇒ 4 hours.

∴ The time taken by the truck to reach the camp is 4 hours.

To find how long the kids have to wait for their bags :

The time taken by the truck to reach the camp - the time it took for the kids to arrive.

⇒ 4 hours - 3 hours

⇒ 1 hour.

∴ The kids have to wait for 1 hour to get their bags.

The bus traveled 180 miles to the camp in 3 hours at 60 mph, while the truck took 4 hours at 45 mph to cover the same distance. Hence, the kids had to wait 1 hour for their bags to arrive.

Travel Time and Waiting Time

To determine how long the kids had to wait for their bags, we need to calculate the time it took for the truck to reach the camp.

The bus travels at a speed of 60 mph and it took the kids 3 hours to reach the camp. The distance to the camp can be calculated using the formula:

Distance = Speed × TimeTherefore, the distance is 60 mph × 3 hours = 180 miles.

Next, we calculate the time it took for the truck, traveling at 45 mph, to cover the same distance:

Time = Distance / SpeedThus, the truck's travel time is 180 miles / 45 mph = 4 hours.Since the kids took 3 hours to reach the camp and the truck took 4 hours, the kids had to wait for:4 hours - 3 hours = 1 hour.

Therefore, the kids had to wait for 1 hour for their bags to arrive.

write g(x)=4x^2+88 in vertex form

Answers

Answer:

y

=

4

(

x

+

11

)

2

484

Step-by-step explanation:

Solve: n^2/2 -2 = 5n/6

Answers

Answer:

  n = -4/3  or   n = 3

Step-by-step explanation:

Multiply by 6 to eliminate fractions, then put into standard form.

  3n^2 -5n -12 = 0

  3n^2 -9n +4n -12 = 0 . . . . . separate -5n into two terms to facilitate factoring

  3n(n -3) +4(n -3) = 0 . . . . . factor pairs of terms

  (3n +4)(n -3) = 0 . . . . . . . . . factor out the common factor

  n = -4/3   or   3 . . . . . . . values that make the factors be zero

A 270° angle is three-fourths of a complete rotation.


Please select the best answer from the choices provided

T
F

Answers

True
Step by step I got it right

2 Find the mystery numbers for each pair of clues. A product is the number you get
when you multiply numbers. A sum is a number you get when you add numbers.
a Use these clues to help
• The product of these two numbers
is 12.
• The sum of these two numbers is 7.
6 Use these clues to help
• The product of these two numbers
is 8.
• The sum of these two numbers is 9.
The numbers are
and
The numbers are
and

Answers

Answer:

4 and 3 at least i think

Step-by-step explanation:


You spend $62 on a game, receive $50 for painting a fence, and give $10 to your friend. You have $44 left.
How much money did you start with?

Answers

Answer:

You started with $66.

Step-by-step explanation:

The equation would be:

[tex]x-62+50-10=44\\ x-22=44\\ x=66\\[/tex]

To check the answer:

[tex]66-62+50-10=44\\4+50-10=44\\54-10=44\\44=44[/tex]

We started with $66 initially.

What is Algebra?

Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations. The idea that there is such a separate branch of mathematics, as well as the term algebra to identify it, came about gradually through time. It tries to find solutions to equations that contain one or more unknown quantities. Although early mathematicians would not have been familiar with such a concept, the word "equation" is frequently employed to conveniently represent these operations when discussing the early history of algebra.

As per the given data:

Money spend on game (g) = $62

Money received for painting a fence (p) = $50

Money given to friend (f) = $10

Money left = $44

To find out the money we had initially:

Let's assume we had $x.

Money left = x - g + p - f

44 = x - 62 + 50 - 10

44 = x - 22

x = $66

Hence, We started with $66 initially.

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HELP!
Use the spinner to find the theoretical probability of the event.

The theoretical probability of spinning blue is ___.

Answers

Answer:

2/8 or 1/4

Step-by-step explanation:

2/8 or 1/4 because the spots on the spinner are blue out of 8 is 2/8 or 1/4

Answer:

2/6

Step-by-step explanation:

This should have been simple because you don't include the blue parts

Can’t put it Into a question because it is a graph kinda urgent

Answers

a= 1
b= 1/16 or .0625
c= 1/256 or .00390625

Answer:

Step-by-step explana

a= 1

b= 1/16 or .0625

c= 1/256 or .00390625

I’m circle R with m angle QRS=82 and QR=16 units find the of arc length of QS. Round to the nearest hundredth

Answers

Final answer:

The length of arc QS in circle R is approximately 22.9 units. This is determined by using the formula for arc length in a circle, which is the radius times the angle (in radians). The angle was first converted from degrees to radians.

Explanation:

To find the length of arc QS in circle R, we need to use the formula for the arc length. The arc length of a circle is given by the formula Length = radius * angle (in radians). The angle is provided as 82 degrees, and the radius QR is given as 16 units.

First, we need to convert the angle from degrees to radians. We use the formula: radians = degrees * (π / 180). Hence, 82 degrees is approximately 1.43117 radians.

Now, let's substitute our values into the formula. Length = 16 units * 1.43117 radians.

Hence, the arc length of QS is approximately 22.9 units when rounded to the nearest hundredth.

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(2c + 4) + (3m + 5) = simply your answer

Answers

Hi there! hopefully this helps!

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

Answer: 2c + 9 + 3m

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