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3 years ago

If g x 3x 5 then g 1 x

Mathematics

1 answer:

Ray Of Light [21]3 years ago

5 0

G(x) = 3x + 5
y = 3x + 5
3x = y - 5
x = (y - 5)/3

Therefore, g^-1(x) = (x - 5)/3

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a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l

yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r = (x/2.π)

Find the area of the circle

a = π(x/2π)^2

a = π(x^2/4π^2)

Cancel π

a = x^2/4π

Find the area of the square:

a = (1-x/4)^2

a = (1-2x+x^2)/16

Total area

A = (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x = -(-6.284)/{2.(7.142)}

x = 6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0

3 years ago

Can I Get A Little Help Here?

Musya8 [376]

Hey there :)

We know the formula for simple interest is
I = prt
{ The picture includes what each stands for }

Lehena:
Initial amount = $100
Interest rate = 2.5% = $\frac{2.5}{100} = 0.025$
Time = 3 years
I = ( 100 )( 0.025 )( 3 )
= 7.5$

Total = $100 + $7.5 = $107.5

Marty:
Initial amount = $100
Interest rate = 2% = $\frac{2}{100} = 0.02$
Time = 3 years
I = ( 100 )( 0.02 )( 3 )
= $6

Total = $100 + $6 = $106

How much more than Marty did Lehena receive?
= Total Amount of Lehena - Total Amount of Marty
= 107.5 - 106
= $1.5

Your answer will be option B) $1.50

7 0

3 years ago

What is 3(2x + 1) written as in distributive property

sergey [27]

Answer:

what this basicaly means is that we have to multiply 3 by every thing inside the parethese

3*2x=6x

3*1=3

6x+3

Hope This Helps!!!

5 0

2 years ago

Read 2 more answers

Divide (15x^2+x-8)/(3x-1)

blondinia [14]

<span>Simplifying -15x2 + -2x + 8 = 0
Reorder the terms: 8 + -2x + -15x2 = 0 Solving 8 + -2x + -15x2 = 0 Solving for variable 'x'.
Factor a trinomial. (2 + -3x)(4 + 5x) = 0 Subproblem 1Set the factor '(2 + -3x)' equal to zero and attempt to solve:
Simplifying 2 + -3x = 0 Solving 2 + -3x = 0
Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2
Combine like terms: 0 + -2 = -2 -3x = -2
Divide each side by '-3'. x = 0.6666666667
Simplifying x = 0.6666666667
Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:
Simplifying 4 + 5x = 0
Solving 4 + 5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4
Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4
Combine like terms: 0 + -4 = -4 5x = -4
Divide each side by '5'. x = -0.8 Simplifying x = -0.8
Solutionx = {0.6666666667, -0.8}</span>

4 0

4 years ago

Which best describes the error in finding the missing length of the triangle?

Paul [167]

Answer:

24 ft

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

7^2 - 25^2 = -b^2

49 - 625 = -b^2

-576 = -b^2

24 = b

5 0

3 years ago