Mathematics High School

If f(x) = 5x, what is f^-1(x)?

PLEASE HELP!!

Answers

Answer 1

Answer:

Option 3

Step-by-step explanation:

to get inverse function, swap x and y first:

f(x)=5x : y=5x --> x=5y

solve for y: y=1/5 x

use inverse notation: f^-1(x)=1/5 x

Related Questions

Solve for w.

6+(w−10)=5

Answers

The answer is “W=9”.

Answer:

w=9

Step-by-step explanation:

first you wanna add 6 and -10 which gives you -4, after that you bring -4 over to 5 and change it to positive and it becomes 9, which gives you w=9

Which equations have the variable term isolated to one side of the = and the constant isolated to the other side free equation 1/5 X +1/3 equals -1/2 X +8/3 what select all that apply

Answers

Answer:

2 and 3

Step-by-step explanation:

How much will they make if they sell 10,000 tickets

Answers

Answer:

Wait wut

Step-by-step explanation:

is 2.64575 irrational or rational?

Answers

Answer:irrational

Step-by-step explanation:

The sum of (3 - 51) + (-2+81) is

Answers

Answer:

Step-by-step explanation:

3-51 = -48

-2+81= 79

79+(-48)= 31

Answer:

Step-by-step explanation:

(3-51) + (-2+81)

-48 + 79

help please! i don’t understand how to do this!

Answers

Answer:

x=c+b/a

Step-by-step explanation:

ax-b=c

+b +b

ax=c+b

__ ___

a=c+b/a

Answer:

Step-by-step explanation:

Given

ax - b = c ( add b to both sides )

ax = c + b ( isolate x by dividing both sides by a )

x = [tex]\frac{c+b}{a}[/tex] → D

You are buying cupcakes for a school party. They are in a package of 6 for $8.50. You have budgeted no more than $40 to spend. If cost of the cupcakes is a function of the number of packages purchased, what is the largest element of the domain in this situation?

Answers

Answer: Largest element in the domain is 4

The largest number of packages you can buy is 4

======================================================

Explanation:

1 package costs 8.50*1 = 8.50 dollars

2 packages cost 8.50*2 = 17 dollars

3 packages cost 8.50*3 = 25.50 dollars

and so on. In general

x packages cost 8.50*x = 8.50x dollars

where x is a place holder for a positive whole number (1,2,3,...)

The total amount spent is 8.50x and the budget is $40

This means,

[tex]8.50x \le 40\\\\x \le \frac{40}{8.50}\\\\x \le 4.70588\\\\x \le 4\\\\[/tex]

We round down regardless of how close we are to 5.

If x = 4, then 8.50*x = 8.50*4 = 34

While if x = 5, then 8.50*x = 8.50*5 = 42.5

So we see we go over budget if we buy x = 5 packages.

This makes x = 4 the largest in the domain.

Recall the domain is the set of allowed x inputs. In this case, x is a positive whole number (since we can't buy half a package for instance).

Write an equation in slope intercept form with the given information.
Slope = 4 and goes through point (1,8)
(Please help me)

Answers

Answer:

y= 4x +4

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 4, m= 4.

Substitute m= 4 into the equation:

y= 4x +c

To find the value of c, substitute a pair of coordinates.

When x= 1, y= 8,

8= 4(1) +c

8= 4 +c

c= 8 -4 (-4 on both sides)

c= 4 (simplify)

Thus, the equation is y= 4x +4.

Zoe needs to rent a car. Kara's Kar Kompany charges $22 per day and a $100 cleaning fee. Callie's Car Company charges $26 per day and has a $40 cleaning fee. After how many days would the rental cost be the same for both car rental companies?

A) 18 Days
B) 13 Days
C) 15 Days
D) 8 Days

Answers

Answer:

C) Fifteen days

Answer:

C) 15 days

Step-by-step explanation:

To answer this question, we must make an equation, so lets use the variable 'd' equal the number of days a car is being used for:

22d + 100 = 26d + 40

Now, we combine like terms:

22d + 100 = 26d + 40

-22d -22d

100 = 4d + 40

-40 -40

60 = 4d

/4 /4

d = 15

So, the rental cost will be the same for both car companies after 15 days

Hope this helps :)

Find the x and y intercepts of the equation.
3x +y = −6

Answers

Answer:

x-intercepts: (2,0)

Y intercepts: (0,6)

Step-by-step explanation:

HELP QUICK PLEASE
What is the slope of the line that passes through the points (-10, 9)(−10,9) and (-12, 7) ?(−12,7)?
Write your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

(7-9)/(12-10)= 1

A local theater sells tickets at different prices for adults, senior citizens, and children. A total of 300 tickets are sold at the theater. Senior citizens purchased 35 tickets, 200 were purchased for children, and 65 adult tickets were purchased. What is the ratio of the number of adult tickets sold to the total number of tickets sold?

PLEASE CAN SOMEONE GIVE ME THE ANSWER

Answers

Answer:

500

Step-by-step explanation:

follow me life is soooooooo slow at this age............................ ................................. .......

10000$ is invested at annual compound interest after 4 years the investment has become $11,608.86 what annual rate of compound interest was used ?

Answers

$10,000 is invested at annual compound interest. After 4 years, the investment has become $11,608.86. What annual rate of compound interest was used?

Answer: 3.8%

The annual rate of the compound interest is given as 3.8%.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Amount = principal[1 + r/n]ⁿᵃ

Principal = P rate= r Time =a , n = compounding frequency

Here,
Amount = principal[1 + r/n]ⁿᵃ
11608.86 = 10000[1 + r/1]⁴
1.160886 = [1 + r]⁴
1 + r = 1.038
r = 1.038 - 1
r = 0.038
r% = 0.038 ×100%
r% = 3.8%

Thus, the annual rate of the compound interest is given as 3.8%.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ2

18x + 12- 4
I need help ASAP.

Answers

Answer:

Step-by-step explanation:

Answer:

B and E

Step-by-step explanation:

PLEASE HELP I HAVE 5 MINUTES HELP!!!!
Maddie's grades on her last 4 tests were 85%, 74%, 94%, 80%. What does she need to get on her fifth test to have a test average of at least 85%?

INEQUALITY:

SOLUTION:

Answers

4(85+74+94+80)
425-333= 92

write an equation of the line passing through the point (8,7) that is perpendicular to the line y+7=-7/17(x+8)

A.y= -7/17x+63/17

B.y=7/17x+7

C.y= -17/7x-87/7

D.y= -17/7x + 7

Plz help asap!!!

Answers

The answer is C I just had it on a test

Answer:

y= 17x/7 - 87/7

The answer would be C is the slope is positive so I'm assuming it's a typo

Step-by-step explanation:

1.) When a slope is perpendicular that means that you do an opposite reciprocal so -7/17 turns into 17/7

2.) Use point slope form and solve for y

y-y1= m(x-x1)

y-7= 17/7 (x-8)

y-7= 17x/7 - 136/7

y= 17x/7 - 87/7

Help me plzz this is my last bit of points and I need help !!!

Answers

Answer:

Step-by-step explanation:

12 ÷ 0 is undefined

The answer is B because division by 0 is undefined.

You have $25 , then you babysat this week and earned $13.50. Then you spend $2.68 on a bag of chips . how much do you have left?

Answers

So first you would have to add $25+$13.50=38.5 then subtract 38.5-2.68=35.82

5x+2-2(x-1)=3x+4 (i beggggg helppp mmeeee)

Answers

Answer:

Step-by-step explanation:

5x+2-2x+2=3x+4

5x-2x+2+2=3x+4

3x+4=3x+4

equation is satisfied so every value of x will produce the same results on both sides of the equation

Last week, Travis and his brother, Wayne, rode their bikes on the same trail. Travis finished the trail several minutes before Wayne. This week, they plan to bike a trail around a lake. Who will likely complete the lake loop in less time?

Answers

Answer:

Travis

Step-by-step explanation:

Travis has previously shown himself to be faster than Wayne, thus he is most likely to still be faster.

The answer to this is Travis

How to find the short sides of a right angle triangle if your only given the length of the hypotenuse which is 15. And the shorts sides are equal to each other.

Answers

The Pythagorean Theorem,
a
2
+
b
2
=
c
2
,
a
2
+
b
2
=
c
2
,
can be used to find the length of any side of a right triangle. right angle has a value of 90 degrees (
90
∘
90
∘
). A right triangle is a triangle in which one angle is a right angle. The relation between the sides and angles of a right triangle is the basis for trigonometry.

The side opposite the right angle is called the hypotenuse (side
c
c
in the figure). The sides adjacent to the right angle are called legs (sides
a
a
and
b
b
). Side
a
a
may be identified as the side adjacent to angle
B
B
and opposed to (or opposite) angle
A
A
. Side
b
b
is the side adjacent to angle
A
A
and opposed to angle
B
B
.

The hypotenuse c, opposite the right angle, is the longest side. The legs are shorter and may be the same or different lengths, and are perpendicular to each other in a right triangle.

I don’t understand this and I need help figuring it out, please.

Answers

Answer:

it would be C

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

You can see that 14 turned into 28, which means multiplication.

Please help if you can. It’s a math problem, and please explain

Answers

Answer: The answer is B: 6

Step-by-step explanation:

3 times the square root of 36 is 18.

18 divided by the square root of 9 is equal to 6.

Answer:

Step-by-step explanation:

3/36 = 18 then dividedby 9 =6

Why is 3^-2 not a negative number?

Answers

The rule you use is x^(-k) = 1/(x^k)

In this case x = 3 and k = 2, so,

3^(-2) = 1/(3^2) = 1/9

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

One way to think of it, is to consider the equation below

3^2*3^x = 1

We can solve for x like this

3^2*3^x = 1

3^(2+x) = 1

3^(2+x) = 3^0

2+x = 0 .... the bases are equal, so the exponents must be equal

x = -2

meaning that

3^2*3^x = 1

updates to

3^2*3^(-2) = 1

Now isolate the 3^(-2)

3^2*3^(-2) = 1

3^(-2) = 1/(3^2)

3^(-2) = 1/9

Question 5
Given the sequence, 35, 32, 29, 26, 23, ...
Find the following:
a1 =

Answers

Answer:

a1 = 2

Step-by-step explanation:

what does a1 mean?

35, 32 29, 26, 23, 20 , 17, 14, 11, 8, 5, (2)

Use the distance formula to find the distance between points Y(-1,0) and P(2,6).

Answers

Answer:

6.7

Step-by-step explanation:

convert the following fraction to the lowest term 0.4

Answers

Answer:

2/5.

Step-by-step explanation:

Hope this helps. S

Answer:

2/5 is the answer of this question

Answer my math question!!

Answers

your answer is 0.4 or 0.40

Answer:

0.4

Step-by-step explanation:

Jackson has 2,000 baseball cards in his collection. Gabe has 110 as many baseball cards in his collection as Jackson. How many baseball cards does Gabe have in his collection?
Enter your answer in the box

Answers

Answer:

220000

Step-by-step explanation:

2000x110=220000

Why does he have so man though???

Answer:

200 cards

Step-by-step explanation:

Given: Jackson has 2,000 baseball cards in his collection. Gabe has as many baseball cards in his collection as Jackson.

To Find: How many baseball cards does Gabe have in his collection.

Solution:

Total number of cards Jackson has in his collection

Let number of cards Gabe has =

Now,

Which ones better? How much more r u saving?

Answers

Answer:

2 L bottle for 1.69

the unit price for the two liters is cheaper than one for 12 pack

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If f(x) = 5x, what is f^-1(x)? PLEASE HELP!!

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If f(x) = 5x, what is f^-1(x)?

PLEASE HELP!!