Can someone help!!!?

Can Someone Help!!!?

Answers

Answer 1

Answer:

f^(-1)(x) = 1/5x

Step-by-step explanation:

[tex] \large{f(x) = mx + b \longrightarrow f^{ - 1} (x) = \frac{x - b}{m} }[/tex]

Inverse Function is when we swap the x-term and y-term. Here is an explanation to the inverse of linear function above.

[tex] \large{f(x) = mx + b}[/tex]

Here we define f(x) = y. It is better to use y instead of f(x)

[tex] \large{y = mx + b}[/tex]

Swap x-term and y-term.

[tex] \large{x = my + b}[/tex]

Arrange/Simplify in the y-isolated equation.

[tex] \large{x - b = my} \\ \large {\frac{x - b}{ m} = y} \\ \large{ y = \frac{x - b}{m} }[/tex]

Since the function is in inverse form. It's recommended to use f^(-1) to point out that the function is an inverse of the original function.

[tex] \large \boxed{ {f}^{ - 1} (x) = \frac{x - b}{m} }[/tex]

Hence, y = (x-b)/m is an inverse of y = mx+b. A one-to-one function can have an inverse form. Back to the question!

We are given the linear function:

[tex] \large{f(x) = 5x}[/tex]

We will be using substitution method by substituting the original function in inverse form.

Since we know that the slope is 5 and doesn't have y-intercept which is b-value. Hence

[tex] \large{ {f}^{ - 1} (x) = \frac{x - 0}{5} } \\ \large{ {f}^{ - 1} (x) = \frac{x }{5} } \\ \large{ {f}^{ - 1} (x) = \frac{1}{5} x}[/tex]

Or we swap x-term and y-term.

[tex] \large{f(x) = 5x} \\ \large{y = 5x} \\ \large{x = 5y} \\ \large{ \frac{x}{5} = y} \\ \large{y = \frac{x}{5} = \frac{1}{5} x} \\ \large{ {f}^{ - 1} (x) = \frac{1}{5} x}[/tex]


Related Questions

Diedra rolls an unbalanced die 72 times and gets a "6" 21 times. If she rolls the die 15 more times, which of these is the most reasonable prediction of the number of times she will not roll a "6"?

Answers

By using the relative frequency, we can expect to not roll a "6" in 11 rolls.

How many times can we expect to not roll a "6"?

We know that in a total of 72 rolls, the outcome is "6" 21 times.

Then the relative frequency is:

F = 21/72 = 0.292

Then we can expect that in N rolls, we will get (0.292)*N times a "6".

So the number of times that we will not get a 6, is:

(1 - 0.292)*N

In this case is N = 15, then we get:

(1 - 0.292)*15 = 10.62

Rounding to the next whole number we get 11, this means that we can expect to not roll a "6" in 11 rolls.

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Find the exact value of sin 2pi/3

Answers

Answer:

2 x 3.14 = 6.28

6.28 divided by 3 = 2.093 around 2.1

What equation is equivalent to 2 - 3 (5x+2) = 6?

A) -15x - 4 = 6
B) -15x + 4 = 6
C) -5x - 2 = 6
D) -5x + 2 = 6

Answers

The answer is b good luck
The answer is A

Remember that the negative sign in 3 is multiplied with the 2, resulting in -4 in the end. The answer is not B.

A test was given to 120 students, and the scores approximated a normal distribution If
the mean score was 72 with a standard deviation of 7, approximately what percent of the
scores were 65 or higher?

Answers

Answer:

84.13% aka. 101/120 students

Step-by-step explanation:

P(X>65) = normalcdf(65,100,72,7) = 0.8413130544 ≈ 0.8413 ≈ 84.13%

Therefore, about 84.13% of the scores were 65 or higher, meaning that about 101 students got a score of 65 or higher.

84% of students have a score of 65 or higher.

What is Normal Distribution?

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

For this sum, the mean and standard deviation are mentioned.

Mean = 72

S.D = 7

We will be using the bell curve of normal distribution for solving this sum.

Area under the curve that represents more than 65:

=  34% + 34% + 13.50% + 2.35% + 0.15%

=  84%

Hence, we can conclude that 84% of the scores were 65 or higher.

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helpppppppppppppppppppppppp asappppp!!!!!!!!!!1

Answers

Answer:

(2) angle EZD = angle AZB (vertically opposite angles)

angle EZD = 90 degree

(3) angle DXC = 180 - 143 (Linear Pair axioms)

                   = 37 degree

Hope u understand

Please mark as brainliest

Thank You

The measure <EZD = 90°

The measure <DXC = 37°

I hope you understand....

This is a Right answer....

Part B Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money. He spends a total of $94.94. • Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used. • What is the cost of each shirt that Liam buys? Show your work.​

Answers

Given :

Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money.

He spends a total of $94.94.

Solution :

Let, cost of each shirt is $ x.

It is given that there are 5 shirt and each cost the same.

Also, the sum of 5 shirt and a pair of jeans is equal to $94.94 .

So,

[tex]29.99 + 5x = 94.94\\\\5x = 94.94 - 29.99\\\\x = \$ 12.99[/tex]

Therefore, the cost of each shirt that Liam buys is $12.99 .

There are 60 players on a football team. 2/3 of the players are offensive team players 1/12 of the players are special team players The reaming players are defensive players. Each team member is either an offensive, defensive, or special team player. The number of defensive players is -

Answers

Answer:

15

Step-by-step explanation:

2/3 x 60 = 40

1/12 x 60 = 5

60 - 40 - 5 = 15

On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.

Answers

Let the cost price of article be x :

x + x × ( 15/100 ) = 2300

x + x × ( 5 × 3 / 5 × 20 ) = 2300

x + x × ( 3 / 20 ) = 2300

x + ( 3 × x / 20 ) = 2300

x + ( 3x / 20 ) = 2300

( 20x / 20 ) + ( 3x / 20 ) = 2300

20x + 3x / 20 = 2300

23x / 20 = 2300

Multiply both sides by 20

( 23x / 20 ) × 20 = 2300 × 20

23x = 2300 × 20

23x = 23 × 2000

Divide both sides 23

23x ÷ 23 = ( 23 × 2000 ) ÷ 23

x = Rs 2000

Anya wanted a book that cost $34.99 regularly at the bookstore. If Anya had a coupon for 20% off any regularly priced item at the bookstore , what is the sale price of the book?
A) $14.99
B.$27.99
C.$32.99
D.$34.99

ILL GIVE BRAINLIEST FOR 2 OR 1 RESPONSE WITH AN EXPLANATION :’)

Answers

Answer:

$27.99

Step-by-step explanation:

34.99*.20 = 6.998

34.99-6.998 = 27.992

the answer rounded would be $27.99

Hope this helps

The answer is 27.99 because 34.00x0.20

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-6,3). What is the vertex of the function defined as
g(x) = f(x - 2) – 5?

Answers

Answer:

The vertex of g(x) is (-4, -2)

Step-by-step explanation:

Let's define general translations:

Vertical translation:

For a function f(x), a vertical translation of N units (So the whole graph of f(x) is translated N units in a given direction) is defined as:

g(x) = f(x) + N

such that:

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

Horizontal translation:

Similar than before, for a function f(x) a horizontal translation of N units is written as:

g(x) = f(x + N)

Where, if N is positive, the translation is to the left

If N is negative, the translation is to the right.

Here, we have the transformation:

g(x) = f(x - 2) - 5

This is a transformation that moves the whole graph of f(x):

2 units to the right

5 units downwards.

So, if a point like (x, y) was in the graph of f(x)

After the translation, that point will be (x + 2, y - 5)

Then, if the original vertex was (-6, 3), the new vertex will be:

(-6 + 2, 3 - 5)

(-4, -2)

The vertex of g(x) is (-4, -2)

Is the question below a statistical question?
Do teachers make more money than nurses?

Yes or no please answer !!​

Answers

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Help !Which of the following functions are linear?
Function A
Function b
Function a and b
Or none of the above

Answers

Answer:

function A

Step-by-step explanation:

_______________

Function A is correct one

Hey saw this man Turns 250 per on per week Plus a 10% commission all sales over 5000 in one week hey cells Toto 14,000 what were his earning that week A.$1,050 B.$1,150 C.$400 D.$2,150

Answers

Answer:

B.$1,150

Step-by-step explanation:

Given data

Weekly earning= $250

commission= 10%

Sales= $14000

Hence the expression for his total earnings per week is

y= 0.1x-250

x= sales

y= total earning

y=0.1*14000- 250

y= 1400-250

y= $1150

If WXYZ is a square, which statements must be true? Check all that apply.

Answers

Answer:

A might be right

hope this is helpful

The required correct statement for WXYZ to be a square is given as,
A. WX ≅ XY.
C. WXYZ  is parallelogram.
D. ∠W is congruent to ∠Y.
E. ∠W is a right angle.

What is the square frame?

A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°.

Here,
A square is a four-sided regular polygon, and also square is said to be a parallelogram because the opposite of a square is parallel. And each of the four angles of the square is equal to each other and has a measure of 90°.

Thus, the correct statement for the square has been shown above.

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Three friends will run race. If three friends no ties, in how many distinct order can these 3 friends finish the race?​

Answers

Answer:  6 different ways

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

Explanation:

Let's name the friends A, B, C

If person A is first, then B or C could be second and third.

So we have ABC or ACB as two possible outcomes.

If B is first, then either A is second or C is second. Meaning we have BAC or BCA.

If C is first, then we have CAB or CBA

Overall here are the 6 different ways to have the runners finish

ABC ... A is firstACB ... A is firstBAC ... B is firstBCA ... B is firstCAB ... C is firstCBA ... C is first

Note how for the first slot we have 3 ways to pick the winner. Then after that selection is made, we have 2 choices left, then 1 choice for third place. Therefore, 3*2*1 = 6 different outcomes are possible.

We can use the factorial operation on the calculator to do this with one button press, so we'd say 3! = 6. The exclamation mark means "multiply from 3 down to 1, counting down the whole time".

Another example of a factorial is:

5! = 5*4*3*2*1 = 120

Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equations represents this situation

Answers

Answer:

Miguel: d = 23t + 10

Gabby: d = 28t

Step-by-step explanation:

We can write the equation for each case in slope-intercept form, d = mt + b

Where,

d = total distance

t = time

m (rate) = distance/hr

b = initial value

✔️ Miguel:

m = 23 km/hr

b = 10 mile

Equation: subtitle the values into d = mt + b

d = 23t + 10

✔️ Gabby:

m = 28 km/hr

b = 0 mile

Equation: subtitle the values into d = mt + b

d = 28t + 0

d = 28t

question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!

Answers

Answer:

Daniel's time: 3 minutes 45 seconds

Brandon's time: 3 minutes 27 seconds

Step-by-step explanation:

Well, 5 feet per every second so side A would be 327.6 / 3 = 109.2

then 489 / 5 = 97.8 add them two you get 207 seconds which is 3 minutes and 45 seconds for  Daniel.

For Brandon you have to find the hypotenuse of the triangle which in short is 588.6 / 3 = 196.2

This was my first answer on this so though Its problebly not the best I hope I did something to help. ;-;

Math please help I will be happy :)

Answers

I believe it is 89 percent :)

Answer:

89

Step-by-step explanation:

mark it as the brainliest

What is the volume of the solld figure that has a helght of 11 feet and the following base?

volume___ft 3

Answers

Step-by-step explanation:

Area is 2D, and Volume is 3D

volume is L x W x H

area is L x W which has already been given to you so you just need to use the height given to you

38.28 x 11

Please help with this

Answers

Answer:

f

Step-by-step explanation:

Select all the equations that can be represented by a straight line when graphed on the coordinate plane

Find the area of the bolded sector in the circle below.

Leave your answer in terms of pi. Just type what number should be multiplied to the pi)

area sector = ?? π

Answers

Answer:

Area of the sector formula:

A = πr²(θ/360)

We have:

θ = 120r = 12 mi

Substitute values and find A:

A = π(12²)(120/360) = 144π/3 = 48π

Esther is getting balloons for her father's birthday party. She wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Esther wants to get 65 balloons, how many yards of string will she need? 1 foot = 1 3 yard

Answers

Answer: She needs 130 of string .

Step-by-step explanation:

Given: Length of each ballon string = 6 feet

Total number of ballons = 65

Total string required = ( Length of each ballon string) x (Total number of ballons)

= 6 x 65

= 390 feet

Since 1 foot = [tex]\frac 13[/tex] yard

So, [tex]390\ feet = 390\times\frac13\ yards[/tex]

= 130 yards

Hence, She needs 130 of string .

ASAP
-WILL MARK BRIANIST

Answers

Answer:

part A: 83-8=75

part B: b represents chocolate bars so the answer would be 75 chocolate bars. good luck with the test and have a nice day!

Step-by-step explanation:

A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
h(t) = -16t² + 20x + 24
How many seconds will it take for the to reach the ground?

Answers

Given:

The height of ball is represented by the below function:

[tex]h(t)=-16t^2+20t+24[/tex]

To find:

The number of seconds it will take to reach the ground.

Solution:

We have,

[tex]h(t)=-16t^2+20t+24[/tex]

At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].

[tex]-16t^2+20t+24=0[/tex]

Taking out greatest common factor.

[tex]-4(4t^2-5t-6)=0[/tex]

[tex]4t^2-5t-6=0[/tex]

Splitting the middle term, we get

[tex]4t^2-8t+3t-6=0[/tex]

[tex]4t(t-2)+3(t-2)=0[/tex]

[tex](t-2)(4t+3)=0[/tex]

Using zero product property, we get

[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]

[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]

Time cannot be negative, so [tex]t=2[/tex].

Therefore, the ball will reach the ground after 2 seconds.

5. A construction area has 6 cylindrical posts protecting the
equipment. They are filled with sand to reinforce them. If each
cylinder is 4 feet tall and has a diameter of 1 foot, how much sand
was needed to fill the cylinders?
Record your answer and fill in the bubbles on your answer. (If it’s wrong or random you will be reported)
document. Be sure to use the correct place value.

Answers

Answer: what’s the answer ?

Step-by-step explanation:

If each cylinder is 4 feet tall and has a diameter of 1 foot then the amount of sand needed to fill the cylinders is 19 cubic feet.

Given that there are 6 cylindrical posts protecting the equipment

To find tge amount of sand needed for cylinders,

We need to find the volume of each cylinder.

The cylinder is 4 feet tall and has a diameter of 1 foot,

Height is 4 feet

Diameter is 1 foot and radius is 1/2 feet.

Volume of cylinder = πr²h

=3.14×(1/4)(4)

=3.142 cubic feet.

As there are six cylinders.

Multiply 6 with 3.142

Amount of sand needed = 6×3.142

= 18.852 cubic feet.

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What is the value of 3'5/3'3

Answers

Answer:

1.05128205

Step-by-step explanation:

hope it helps

#carryonlearning

hey! i’ll give brainliest please help

Answers

looking at this it looks like the answer is “Tension between the characters two desires” since external conflict happens with the character and something other then themselves

Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?

Answers

Answer: $32,732.58

Step-by-step explanation:

To calculate the total loan payment over the course of the loan period, use the future value formula:

= Loan amount * (1 + rate) ^ number of years

As this loan is compounded monthly, you need to convert certain terms to monthly figures:

Number of periods = 6 * 12 months = 72 months

Interest = 4.5 / 12 = 0.375%

Total payment:

= 25,000 * ( 1 + 0.375%)⁷²

= $32,732.58

He will have to pay $34,236.31 over the course of the loan.

Using the compound interest formula expressed as:

[tex]A =P(1+r/n)^{nt}[/tex]

P is the principal = $25000

r is the rate = 4.5% = 0.045

t is the time in years = 6 years

n is the compounding amount = (12)monthly

Substitute into the formula:

[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]

Hence he will have to pay $34,236.31 over the course of the loan

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what is the equation representing

Answers

Exponential growth because a decay would be a fraction in the parenthesis

Answer:

Exponential growth. Hope it helps.

What is the value of B for the following triangular prism?



120 cm 2
60 cm 2
5 cm 2
2.5 cm 2

Answers

Step-by-step explanation:

[tex] \frac{1}{2} (10)(12) \\ \frac{1}{2} (120) \\ 60 {cm}^{2} [/tex]

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