The function f(x) = mx + 5 is its own inverse. Find the value of m?​

Answers

Answer 1

mx + 5 = (x - 5) / m

mx + 5 = x/m - 5/mAnswer:

Step-by-step explanation:

first find the inverse equation

y = mx + 5

y - 5 = mx

(y - 5) / m = x

(x - 5) / m = f⁻ˣ(x)

The original function is a line with slope m and y intercept of 5

The inverse function is a line with a slope 1/m and x intercept of 5

so the common line is where m = 1/m

m = 1/m

m² = 1

m = ± 1

The only line with a common slope between these two options is when

m = -1 and y intercept is 5


Related Questions

A family buys a studio apartment for $140,000. They pay a down payment of $28,000.
a. Their down payment is what percent of the purchase​ price?
b. What percent of the purchase price would a ​$7,000 down payment​ be?

Answers

Answer:

$their down payment is $280 the percentage of the purchase is $2.8

Use the functions f(x)=-x^2+8x-11 and h(x)=-x-7

h(8)-2*f(3)

This is called question #18 on the worksheet images.

Answers

Answer:

Step-by-step explanation:

h(8) = -8 - 7

h(8) = -15

f(3) = -(3)² + 8(3) - 11

f(3) = -9 + 24 - 11

f(3) = 4

h(8) - 2 f(3) = -15 - 2(4) = -23

The value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Functions f(x) = -x²+8x-11 and

h(x)=-x-7

h(-8) = -8 - 7

h(-8) = -15

f(3) = -(3)² + 8(3) - 11

f(3) = -9 + 24 - 11

f(3) = 4

= h(8) - 2 f(3)

= -15 - 2(4)

= -23

Thus, the value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.

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the equation of a line with slope2/5 and y-intercept 1 is

Answers

Step-by-step explanation:

y=(2/5)x + 1

that is the answer

Answer:

y=2/5x+1

Step-by-step explanation:

y=mx+b

m=2/5

b=1

Hope this helps :)

Due Tomorrow: answer question 1 with steps

Answers

Answer:

the 1 st qn that is no2 c is just down right corner am I right

Step-by-step explanation:

plzzz make me ans as the brainliest ans

How do the measures of the angles of triangle ABC compare if those of triangle A’B’C’ when triangle A’B’C’ coincides with the other three triangles. What can you say about the preservation of the angle measurement of the shape during rotation.?

Answers

Answer:

30x t 78

Step-by-step explanation:

Substitution method

-3x + 3y = 4

-x + y = 3

Answers

See photo below hopefully it helps!

Describe the slope of the line. Then find the slope. What’s the slope?

Answers

Hello there!

We are given two points.

We use the following formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{4-7}{0-(-1)}[/tex]

[tex]\frac{4-7}{0+1} \\\frac{-3}{1} \\-3[/tex]

So the slope is -3. Hope it helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

[tex]\boxed{\boxed{\sf Slope: -3}}[/tex]

Step-by-step explanation:

To find the slope of a line given the coordinates of two points on the line, use the slope formula.

[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

[tex]\sf Points: \left(-1,\:7\right)\: and\: \left(0,\:4\right)[/tex]

[tex]\boxed{\sf \left(x_1,\:y_1\right):\left(-1,\:7\right)}[/tex]

[tex]\boxed{\sf \:\left(x_2,\:y_2\right):\left(0,\:4\right)}[/tex]

[tex]\longmapsto\sf slope\:(m)=\cfrac{4-7}{0-\left(-1\right)}[/tex]

[tex]\longmapsto\sf slope\:(m)=-3[/tex]

_________________________________

Andre ran a 100 meter race in 12 seconds. What was his average speed as he ran?

Answers

his average speed as he ran: V = S/t = 100/12 = 25/3 (m/s)

ok done. Thank to me :>

Speed is the time rate at which an object is moving along a path. 25/3 is the average speed as he ran

What is Speed?

Speed is the time rate at which an object is moving along a path.

Speed =Distance/Time

His average speed as he ran:

V = S/t

Hundred by twelve.

= 100/12

Divide numerator and denominator by four.

Twenty five by three.

Average speed= 25/3 (m/s)

Hence if Andre ran a 100 meter race in 12 seconds. 25/3 is the average speed as he ran

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Kamile sells sandwiches.
In May, she sold 400 sandwiches.
In June, Kamile sold 20% more sandwiches than in May.
In July, Kamile sold 15% fewer sandwiches than in June.
Calculate the percentage change in her sales from May to July.

Answers

Answer:

b

Step-by-step explanation:

the answer is B
b is the correct answer

Pizza Palace sells cheese pepperoni, sausage and mushroom pizzas. Caleb noticed that for every 10 orders of cheese pizza, there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushrooms pizza. If there were 35 pepperoni pizzas ordered, how many total pizzas were ordered?

Answers

Step-by-step explanation:

cheese : pepperoni : sausage : mushroom =

10 : 7 : 5 : 8

so, in total there are 10+7+5+8 = 30 "business pieces".

to get the total number of pizzas, we need to see how many pizzas are sold per "business piece" ?

we get this from the 35 orders of pepperoni pizzas.

these 35 orders represent 7 "business pieces".

that means 1 "business piece" = 35/7 = 5 pizzas.

that means that 30 "business pieces" are 5×30 = 150

so, in total, 150 pizzas were ordered.

When asked a certain question in a poll, 72% of the people polled answered yes. If 56 people did not answer yes to that question, what is the total number of people who were polled?

Answers

Answer:

i think its 200

Answer:

200people

Step-by-step explanation:

28 percent=56people100=?100 multiplied by 56=5600 5600 divide by 28=200

A car is traveling at a speed of 54 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 10 seconds? Do not round your answers.

Answers

we would convert this using conversions. multiply 54 times 1000 to get your work into meters and 1 times 3600 to get hours into seconds. divide the 2 answers to get 15 m/s.

What's the constant in 12n + 7 +13k⁴ + 4+ 39z​

Answers

Answer:

7, 4 or 11

Step-by-step explanation:

     No matter what n, k, or z is, 7 + 4 will always be constant. If you need to go farther, 7 + 4 is 11.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

show that √20 = 2√5 ​

Answers

2√5=√4×√5. (as √4=2)

So,we can write √2×5 as √4×√5

2√5=√4×5

2√5=√4× √5.

2√5=√20

hence , 2√5 = √20

The Lamborghini Sports Car reaches a maximum speed of 200km/h in 15.50s
The McLaren Sports Car displays the same time as the Ferrari Sports Car.
The Renault Sports Car is small in size.
The Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car.
The Renault Sports Car is three tenths of a second faster than the McLaren Sports Car.
What time does the Renault Sports Car displays to reache a maximum speed of 200km/h?

Answers

The Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.

Since the Lamborghini Sports Car reaches a maximum speed of 200km / h in 15.50s, the McLaren Sports Car displays the same time as the Ferrari Sports Car, the Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car, and the Renault Sports Car is three tenths of a second faster than the McLaren Sports Car, to determine what time does the Renault Sports Car displays to reache a maximum speed of 200km / h the following calculation must be performed:

15.5 - 0.1 + 0.3 = X 15.4 + 0.3 = X 15.7 = X

Therefore, the Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.

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-3(p+2) when p=6
Anybody

Answers

Answer:

-24

Step-by-step explanation:

-3(p+2)

-3 ( 6+2 )

-3(8)

-24

Suppose you are reviewing your cell phone bill on Friday and you notice you go over your data limit 49% of the time. You
review the weather forecast for tomorrow that says there is a 11% chance of rain. Assuming rain and going over in data are
independent events, what is the probability that it rains and you go over in data tomorrow? Give your answer as an exact
fraction and reduce the fraction as much as possible.

Answers

Probability that it rains and you go over in data tomorrow = 0.0539

Percentage of time it takes to go over your data limit = 49%

Probability that you go over your data limit, P(data) = 49/100

P(data) = 0.49

The chance that it rains tomorrow = 11%

Probability that it rains tomorrow, P(rain) = 11/100

Probability that it rains tomorrow, P(rain) = 0.11

Probability that it rains and you go over your data tomorrow = P(rain) x P(data)

Probability that it rains and you go over in data tomorrow = 0.11 x 0.49

Probability that it rains and you go over in data tomorrow = 0.0539

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Leah took her friends for a ride in her hot air balloon. The function fff models the height of the hot air balloon above the ground (in meters) as a function of time (in minutes) after takeoff.
Plot the point on the graph of fff that corresponds to when the hot air balloon landed.

Answers

Answer: point (60,0)

Step-by-step explanation: the x-intercept (60,0) shows that at 60 minuetes the balloon is 0 meter above the ground

The coordinates of the function of height and time are (210, 0) and (60, 10). The graph is attached below.

What is function?

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

r(t) = 210 - 15t

Calculate the height after 10 minutes as shown below,

The height = 210 - 15 × 10

The height = 210 - 150

The height = 60

At time 0 the height will be,

The height = 210 - 15 × 0

The height = 210 - 0

The height = 210 meters,

Thus, the coordinates will be (210, 0) and (60, 10)

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the given number line shows the solutions to which inequality
A)x + 4 ≥ 5

B)x – 2 > 7

C)x – 3 ≥ 6

D)x – 1 ≥ 8
—————————-


Answers

C) x – 3 ≥ 6

Solving this inequality by adding 3 on both sides, we get

x ≥ 9 which is shown on the number line

If 10 candy cost $35. How much candy can I buy with $20

Answers

Answer:

6 candies

Step-by-step explanation:

(find unit rate, cost / quantity)

35/10 = 3.5

20/3.5 = = 5.7142857142857

candies cannot be in decimal so you must round to the nearest whole

help plz I have an f in the class

Answers

rise over run: the answer is 2

Question 10 of 10 According to this diagram, what is tan 62°? 62 i 7 28° tra OA. A. 15 B. 0 O C. OD D8 O E 17 F​

Answers

9514 1404 393

Answer:

  B.  15/8

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent relation is ...

  Tan = Opposite/Adjacent

The side opposite the 62° angle is marked 15.

The side adjacent the 62° angle is marked 8.

Then the tangent ratio for 62° is ...

  tan(62°) = 15/8

1. Complete the problem by using your calculator. Round your answer to three decimal places.
If f(x)=x^3– 7x^2+ 3 find f(-2) and f(3/4)
a. f(-2) = 3 and f(3/4)= 2.728
b. f(-2)= 3 and f(3/4)= 10
c. f(-2)=-33 and f(3/4)=-0.516
d. f(-2)= 7 and f(3/4)= 21
e. f(-2)= 10 and f(3/4)=-0.968
nhing utility Round

Answers

Answer:

c.

Step-by-step explanation:

Plug in -2 for x ....

f(x) = -2^3 - 7(-2)^2 + 3

     = -8 - 28 + 3

     = -36 + 3

     = -33

Plug in 3/4 for x ....

f(x) = 3/4^3 - 7(3/4)^2 + 3

     = 27/64 - 63/16 + 3

The put in decimals ....

27/64 = .422

63/16 = 3.938

Put the decimals back into the equation ....

     = .422 - 3.938 + 3

     = -3.516 + 3

     = -.516

sara buys two bags of chips and three boxes of pretzels for $ 85. He then buys another bag of chips and two more boxes of pretzels for $ 50. Find the cost of each bag of chips and each box of pretzels.

Answers

Answer:

Chips= $20    Pretzel=$15

Step-by-step explanation:

Sara bought 2 Chips + 3 Pretzels = $85

(Extra) 1 Chips + 2 Pretzels = $50

Pretzels are twice as much as chips so above ^^ Can be expressed

as Pretzel (15) + Pretzel (15) + Chips(20) = $50

Now lets go back to the first line Putting in the new prices

Chips(20) + Chips(20) + Pretzel(15) + Pretzel(15) = Pretzel(15) = $85

help me answer this 100 POINTS!!!!!

Answers

Answer:

1  C

2  A

Step-by-step explanation:

1 C No it cannot be defined because A and B are not congruent

2  A Yes, the lines will remain parallel

PS. It's only 50 points because two answers are allowed. Each answerer gets half.

C) No, it cannot be defined because figure A and figure B are not congruent.A) Yes, the lines will remain parallel.

The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds.

Answers

Answer


950  ≤ 1000  < 1050

Explanation

Mark Brainliest please

The lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.

What are the lower and upper bound?

The lower bound is the smallest value that would round up to the estimated value.

The upper bound is the smallest value that would round up to the next estimated value.

Here the number 1000 is rounded to the nearest 100 will be:

The Lower bound will be 950.

The Upper bound will be 1050

Hence the lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.

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geometry homework help

Answers

Answer:

To make things easier if you were to find the angle of any exterior angle on a triangle, you can always add up the two remote interior angles in order to get the exterior angle on a triangle. So in this case 76 and 52 added up is 128

m<1= 128

For the first one (i think)

Well the triangles do give away the fact that 66 and 84 are in one of the shape. We know a triangle has 3 angle measures and if added up it would equal to 180.

66+84+x=180

You’d get x=30

Now we have 30 as angle 1.

angle 3 and 84 degrees are supplementary so we can just do

84+y=180 which in this case is 96 so angle 3 is 96

Now we need to find 2, we know that 3 is 96 and we have a 43 degrees already given. It’s a triangle so same thing

96+43+n=180

in this case n is angle 2 and the measure of angle 2 is 41 degrees.

Final answers:

m<1=30

m<2= 41

m<3= 96

Answer:

Step-by-step explanation:

Question 2

1 = 76+52=128

=180-128

=5266+84 = 150     180-150

     =30

    2.    96+43=139    180-139=

    =41

     3.180-84

    =96

At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads and two sandwiches. The Donovan family pays $14 for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?
$2
$3
$4
$5

Answers

Answer:

$3

Step-by-step explanation:

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what is the sum of 6/12 and 1/2
A.3/12
B.9/12
C.12/12
D.13/12
PLZZZZ HELP I WILL GIVE BRAINLIST

Answers

Answer:

1/2

Step-by-step explanation:6/12 is 1/2 of the fraction meaning that 6/12 is = to 1/2.

Answer:

12 / 12

Step-by-step explanation:

LCM of 12 and 2 = 12

1 / 2

= ( 1 / 2 ) x ( 6 / 6 )

= ( 1 x 6 ) / ( 2 x 6 )

= 6 / 12

6 / 12 + 1 / 2

= 6 / 12 + 6 / 12

= ( 6 + 6 ) / 12

= 12 / 12

The table below provides the values of the functions g(t) and h(t) for
several values of t.

Which of the following is a solution to the equation f(t)=h(t)

Answers

Answer:

D) t = 5

Step-by-step explanation:

when t =5 both functions have the same x and y value

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