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OlgaM077 [116]
3 years ago
15

If g(f) the inverse of

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

g(x)=\frac{x}{4}-3

Step-by-step explanation:

we have

f(x)=4x+12

Find the inverse

Let

y=f(x)

y=4x+12

Exchange the variables (x for y and y for x)

x=4y+12

Isolate he variable y

subtract 12 both sides

4y=x-12

divide by 4 both sides

y=\frac{x}{4}-3

Let

g(x)=y

g(x)=\frac{x}{4}-3 ---> inverse of the function f(x)

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3 years ago
Cade covered the outside of a box shaped like a rectangular prism with paper. The box is 3.5 feet long, 2.2 feet wide, and 4.1 f
Orlov [11]

Answer:

The total surface area of this box is  62.14 square feet

Step-by-step explanation:

Given:

Length = 3.5 feet

Width  =  2.2 feet

Height =  4.1 feet

To Find:

The Surface area of the prism = ?

Solution:

The box is the shape of rectangular prism

Then the surface area of the prism = 2(lh +hw +wl)

Where

l is the length

w is the width

h is the height

Substituting the values

The surface area of the prism =2((3.5 \times  4.1) +(4.1\times + 2.2) +(2.2 \times 3.5))

The surface area of the prism = 2(14.35 + 9.02 + 7.7)

The surface area of the prism = 2(31.07)

The surface area of the prism = 62.14 square feet

8 0
4 years ago
The length of rectangular a school hall is 4 times the width and the perimeter is 55m. what is the: width: length:
tangare [24]

If the length of rectangular school hall is 4 times the width and the perimeter be 55m, then the length is 22m and the width of the school hall be 5.5m.

Given that the length of  rectangular school hall is 4 times the width.

We are required to find the length and breadth of the rectangle which has the length be 4 times the width.

Perimeter of rectangle is the sum of all the length and breadth of that rectangles.

Perimeter of rectangle is given as 55m

Perimeter=2(L+B)

let the width of rectangle be x.

Length of that rectangle be 4x.

According to question,

2(x+4x)=55

2*5x=55

10x=55

x=55/10

x=5.5 m

Width be 5.5 m.

Length of rectangle be 4*5.5=22m.

Hence if the length of rectangular school hall is 4 times the width then the length is 22m and the width of the school hall be 5.5m.

Learn more about perimeter at brainly.com/question/19819849

#SPJ4

6 0
2 years ago
The area of a square is increasing at a rate of 24 centimeters squared per second. Find the rate of change of the side of the sq
velikii [3]

Answer:

3cm/s

Step-by-step explanation:

Area of a square is expressed as:

A = L²

Rate of change of area is expressed as:

dA/dt = dA/dL•dL/dt

Given that

dA/dt = 24cm²/s

L = 4cm

Required

dL/dt

Since dA/dl = 2L

dA/dl = 2(4)

dA/dl = 8cm

Subatitute the given values into the formula

24 = 8 dL/dt

dL/dt = 24/8

dL/dt = 3cm/s

8 0
3 years ago
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