For the function f(x)=5(x+10), find
f −1(x).

For The Function F(x)=5(x+10), Find F 1(x).

Answers

Answer 1

Answer: f-1(x) = x/5 - 10

Shortend: f(x)=5(x+10), f-1(x) = x/5 - 10

Steps:

The inverse can be found algebraically by switching x for y and y for x in the equation. You must then isolate y.

[tex]f(x)=5x+10\\y=5x+10\\x=5y+10\\x-10=5y\\\frac{x-10}{5} =y\\[/tex]

So, [tex]f^{-1} (x)=\frac{x-10}{5}[/tex]


Related Questions

Khan academy What is the slope of the line?

Answers

Answer:

Slope: 3/4

Step-by-step explanation:

If you want the equation for the line:

y = (3/4)x - 1

However, this is how you find the slope:

You want to find any two point on the graph, however, it's easier if it touches exactly where two number meet. For example I chose:

(0,-1) and (2,4)

Now just find the change in y, and divide it by the change in x

change in y = 3

change in x = 4

So your slope is 3/4

Answer:

3/4

Step-by-step explanation:

I’ll give thanks, 5 stars and brainliest
Continue the pattern till the tenth digit. 1, 4, 9, 16,...

Answers

Answer:

25,36,49,64,81,100

................................

Answer:

Your answer is 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

Step-by-step explanation:

1 - 4  

+ 3

4 - 9

+ 5

9 - 16

+ 7

+9, +11, +13, +15, +17, +19...

Fill in the missing information

Answers

Answer:

Step-by-step explanation:

1)  AB ≅ AD    Given

BC ≅ BD

2) Given

3) AC ≅ CA         Reflexive property

ΔABC ≅ ΔADC  

4) S S S Congruent

5)∠B ≅∠D            CPCTC

How many terms are in the algebraic expression 2x2 - 3y +5?
show work

Answers

Answer:

3 terms

Step-by-step explanation:

2x² - 3y + 5

= 2x² / - 3y / + 5

The 3 terms are 2x² , - 3y and + 5

Can someone let me know how to work these out. I don’t want the answer i want the method please!!

Answers

Answer:

45: you want to multiply 1/7 by 49x and then multiply 1/7 by 7y

47: you want to multiply 1/8 by 8x and then multiply 1/8 by -16

49: you want to multiply 1/10 by 100x and then multiply 1/10 by 10y

Answer:

Step-by-step explanation:

factorization, is that how u call it? S: Im not good at english

49 = 7x7, right?

and

7 = 7 x 1

then (49x + 7y) = (7*7x + 7y) = 7(7x + 1y)

7*7x = 49x

7*1y = 7y

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

1*7 -----> 7(7x + 1y)

              -------------

                    7

Simplify 7/7 = 1

answer = 7x +y

Multiply 5x(6x−4)

A- 11x^2+x
B- 30x^2 - 4
C - 30x^2 + 20x
D - 30x^2 - 20x

Answers

D

30x/2-20x


It’s D

The answer

Please Help, im stuck

Answers

Answer:

[tex]6^{9} * 6^{-3}[/tex]

Sally wants to buy a dishwasher.
The dishwasher costs £384
Sally will pay a deposit of £42
She will then pay the rest of the cost in 6 equal monthly payments.
How much is each monthly payment?

Answers

Answer:

£56

Step-by-step explanation:

sadly already payed £42 of the price

so 384-42= 342

now she gonna pay the same amount of money every month from what left to be payed

so 342÷6=56

she gonna pay £56 every month for 6months

Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Given the situation, Sally wants to purchase a dishwasher. The cost of the dishwasher is £384. Sally will make a deposit of £42 and the remaining balance over the course of six equal monthly installments.

Sadly, I've already saved £42 on the purchase.

=384-42

= 342

She will now make equal monthly payments from the remaining balance.

=342/6

=56

Thus, Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

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The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.

Select EACH correct statement about the scenario.

[] The function is an arithmetic sequence.
[] The number 2 is the beginning number of tables.
[] The number 2 is the number of tables added when t increases by 1.
[] The number 4 represents the number of people that can be seated at an event if only 1 table is available.

*Multiple Choice*

Answers

The correct statements about the scenario are;

The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.

According to the function given;

p(t)=4+2(t−1)

Evidently, the function, p(t) represents the number of people that can sit when t tables are available.

T(n) = a + d(n -1)

In essence, the function resembles that of a general arithmetic progression with first term, a = 4.

The common difference, d = 2.

The statements which are correct are therefore as listed above.

Read more:

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what are the different types of polygons need it for my primary school sis​

Answers

Answer:

Regular Polygons.

Irregular Polygons.

Concave Polygons.

Convex Polygons.

Trigons.

Quadrilateral Polygons.

Pentagon Polygons.

Hexagon Polygons.

4+6i=5i-3 can someone please help me solve this equation

Answers

Answer:

42- 2i

Step-by-step explanation:

Write the equation.Please help

Answers

Answer: y=3x

Step-by-step explanation:

We want an equation of the form y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0).

The slope: From the point (0,0), the braph goes to point (2,6). Slope is the rise (y) over the run(x): (6/2) or 3. The slope, m, is 3. b, the y-intercept, is 0. y is 0 when x is 0.

y=3x

please help me, what is this

Answers

Answer:

Proof:

In ΔCDB

∵ The sum of all angles of triangle = 180°

∴ m∠B + m∠C + m∠D = 180°

R3. Their sum = 180 (They form straight angle)

S4. ∠B + ∠A = 180°

R5. Triangle angle sum theorem (Sum of all angles of triangle = 180°)

HELPPP PLSSS 50 POINTS IDC

Answers

Answer:

1.x=0 or x=3

2.x=5

3.x=0 or 10/3

4.x=0 or 5/3

1. X=0,3
2. X=5
3. X=0
4. X=0

someone please help me

Answers

Gosh, when I saw that my mind went blank

Which fraction and decimal forms match the long division problem? 9) 8.000 7 21 80 72 80 72 8 8 A. and 0.8 9 B. 8 and 0.8 O 9 C. and 0.888 8 9 D. and 0.8 8 SUBMIT​

Answers

Step-by-step explanation:

the answer is B.

yes it is

Someone help me please

Answers

Step-by-step explanation:

Q6

answer A, as x² is the regular parabolic curve up. and x²-3 just shifts this curve down by 3 units. and that is what we need, as the extreme point of the curve is a bit below the x-axis, and therefore has a negative y value.

Q7

answer C, as this curve is the complete opposite of the curve in Q6.

it is the regular parabolic curve but down. that means -x².

but the extreme point is a bit above the x-axis (and has therefore a positive y value). -x²+3 shifts the parabolic curve up by 3 units.

Q8

answer A again. the functional values are only positive (the whole curve is above the x-axis). so, C and D are therefore wrong.

and between A and B we need to remember, that a negative exponent means 1/...

in case of B 1/(2^x).

and that would mean for large positive x we would get very small values for y.

but we see the opposite. for large x we also get large y.

so, it is 2^x (answer A).

Evaluate for b

50 = -1/3b + 20

Answers

Answer:

50=−13⋅+20

Step-by-step explanation:

Jay decides to walk home from school today. He lives 3 miles from school and can walk home in 45 minutes. At what rate is Jay
traveling?
A)
1 mile/10 minutes
B)
1 mile/15 minutes
o
1 mile 20 minutes
D)
1 mile/30 minutes

Answers

To find out the answer you would divide 45 by 3.

45/3 = 15

Therefore the answer is B -
1 mile/15 minutes

Answer:

b 1mile/10 min

Step-by-step explanation:

What is an algebraic expression for this word phrase?

5 more than the product of 7 and n


5 + 7n

5(7+n)

7(5+n)

5 + 7 + n

Answers

The first choice, 5+7n.

by factoring out the GCF what is 12r-4?

Answers

Answer:

4(3r-1)

Step-by-step explanation:

GCF is the highest number that divides exactly into two or more numbers. In this case, it would be 4 because it's the largest number that both 12 and 4 divide into.

Solve the math problem

Answers

Answer: Slopes

Step-by-step explanation:

1. slope is [tex]\frac{4}{3}[/tex]

2. slope is [tex]\frac{1}{2}[/tex]

3. Slope is [tex]\frac{4}{2}[/tex] or 2

4. slope is [tex]\frac{3}{2}[/tex]

I need help with my Algebra 1 ugh plz help! Sorry there’s a typo

Answers

Answer:

2 is x>3

3 is x ≤ −9/4

4 is x<25

that all i could do but if you need more help go to mathwey

Step-by-step explanation:

In triangles ABC and AWXY, ZA= Wand ZB= ZX.
Which of the following must to be true to prove AABC= AWXY by the AAS
theorem?
A. ZCZY
B. BC XY
O
C. AB BC
D. ABW

Answers

Answer:

c

Step-by-step explanation:

The solution is, C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

We are given,

Triangles ABC and WXY having ∠A=∠W and ∠B=∠X

Now, it is give that the triangles hold AAS theorem.

Since, we already have two corresponding angles equal i.e. ∠A=∠W and ∠B=∠X.

So, by AAS Theorem, the corresponding sides between these angles must be  equal.

Thus, we have, AB = WX.

Hence, option C is correct. C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

Learn more about Triangle congruency click here:

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A train travels at a constant rate of 45 miles per hour
What is the distance, d, in miles ,that the train traves in t hours?

Answers

Answer:

d=45t

Step-by-step explanation:

Plug 1 in for t

d=45(1)

d=45

so after one hour, the train travels 45 miles

which of the ratio equivalent to 1:3 select all that apply

Answers

Answer:

4:12

6:18

8:24

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.

on a sunny day liam decided to walk to his grandmother's house. After walking for a while at a rate of 3 mph, Liam realized that it might start raining, so he decided to take a taxi the rest of the way. The taxi traveled at a speed of 30mph. If he arrived 2 hours before he started, what distance did liam traveled by taxi?

Answers

The answer is ten. The formula for calculating speed is as follows:

Speed = distance × time. Knowing the distance and time units is required to calculate the speed units.

Explain about the speed?

A bicycle that travels 30 meters in two seconds, for example, is moving at a rate of 15 meters per second. The speed of an object in motion varies frequently (for example, a car may travel down a street at 50 km/h, then slow to 0 km/h, and then accelerate to 30 km/h).

The rate at which a distance changes over time is referred to as speed. It has a dimension of time and distance. As a result, the SI unit of speed is formed by combining the fundamental unit of time and the fundamental unit of distance. As a result, the SI unit of speed is the meter per second (m/s).

To learn more about speed refer to:

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PLEASE HELP ASAPP!!!!!!!!! <3

Answers

Answer:

1) 9

2) 8

3) 5

4) 72

5) 40

6) 3

Step-by-step explanation:

1) 5 times 9 equals 45, then you add 5 to get 50.

2) -2 times 8 equals -16, minus 3 is the same as adding a -3 to get -19

3) 7 times 5 equals 35, plus 1 to get 36.

4) 72 divided by 6 equals 12, minus 10 to get 2.

5) 40 minus 14 equals 26, divided by 2 to get 13.

6) 3 times 3 equals 9, minus 5 to get 4 then multiplied by 4 to get 16 as your final answer.

I have to go but here are answers 1-6 I will work on 7-11 later. Sorry! Tell me if you have any questions though!

Please help me please help please help me :)

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

When the variation is direct, the ratio of y to x is a constant (the constant of proportionality).

  19/5 = 22.8/6 = 26.6/7 = 30.4/8 = 3.8

The table is another representation of the proportional relation ...

  y = 3.8x

Yes, the variation is direct.

if you are struggling for math download the fastmath app on your moblie phone then scan the eqation to get a answer fast. also you can find the steps to help undersatnd

Answers

Answer:

thank you :) for the points

Answer:

Thanks

Step-by-step explanation:

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