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2 years ago

Which function is the inverse of Rx) = 8x + 4?

Mathematics

2 answers:

Westkost [7]2 years ago

7 0

Answer:

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 8x + 4 ( subtract 4 from both sides )

y - 4 = 8x ( divide both sides by 8 )

$\frac{y-4}{8}$ = x

Change y back into terms of x with x = $f^{-1}$ (x)

$f^{-1}$ (x) = $\frac{x-4}{8}$ → D

babunello [35]2 years ago

5 0

Answer:

$B.~f^{-1}(x)=\frac{x-4}{8}$

Step-by-step explanation:

To find the inverse of a function, swap the places of the x and y variables and solve for y again.

$x=8y+4\\x-4=8y\\\frac{x-4}{8}=y$

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A farmer wishes to enclose a pasture that is bordered on one side by a river (so one of the four sides wont require fencing) She

docker41 [41]

The area enclosed is (2x)(600-2x).(2x)(600−2x)=1200x−4x2
In order to maximize we need the derivative to be equal to 0.y′=1200−8x=0
1200=8x
x=150
Therefore the sides for maximum area are 150*300.
<span>The area is: 45000</span>

6 0

3 years ago

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A bank loans a customer $100,000 for a period of 2 years. The simple interest rate of the loan is 5.7%. What is the total amount

fomenos

Answer:

$111400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5.7%/100 = 0.057 per year,

then, solving our equation

I = 100000 × 0.057 × 2 = 11400

I = $ 11,400.00

The simple interest accumulated

on a principal of $ 100,000.00

at a rate of 5.7% per year

for 2 years is $ 11,400.00.

5 0

3 years ago

Solve for each system of equations by substitution or elimination.

Tems11 [23]

QUESTION 1

The given system of equations are:

$y=x^2+5x+1$

$y=x^2+2x+1$

We equate the two equations to get:

$x^2+5x+1 =x^2+2x+1$

$x^2 - {x}^{2} + 5x - 2x = 1 - 1$

$3x = 0$

$x = 0$

When x=0,

$y=0^2+2(0)+1 = 1$

The solution is (0,1)

QUESTION 2

The given equations are:

$y=x^2-2x - 1$

and

$y= -x^2-2x-1$

We equate both equations to get:

$x^2-2x - 1 = -x^2-2x-1$

Group similar terms,

$x^2 + {x}^{2} -2x + 2x= -1 + 1$

$2 {x}^{2} = 0$

$x = 0$

We put x=0 into any of the equations to find y.

$y= -0^2-2(0)-1 = - 1$

The solution is (0,-1).

QUESTION 3

The given equations are:

$y=x^2+2x+1$

and

$y=x^2+2x-1$

We equate both equations:

$x^2+2x+1 = x^2+2x-1$

Group similar terms:

$x^2 -x^2+2x = -1 - 1$

$0 = -2$

This is not true.

Hence the system has no solution.

6 0

3 years ago

The diagram shows a cylindrical tank.

Snowcat [4.5K]

Answer:

a) A = π30² = 900π cm² ≈ 2,827 cm²

b) V = Ah = 900π80 = 72000π cm³ ≈ 226,195 cm³

Step-by-step explanation:

4 0

2 years ago

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Find the value if x that will make A||B

enot [183]

Answer:

x=11

Step-by-step explanation:

The angles given are alternate exterior angles and alternate exterior angles are equal if the lines are parallel

5x+9 = 6x-2

Subtract 5x from each side

5x+9-5x = 6x-2-5x

9 = x-2

Add 2 to each side

9+2 =x-2+2

11=x

7 0

3 years ago

Read 2 more answers