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TEA [102]
3 years ago
9

F(x) = -(x-3) +x What is f(-1) = ?

Mathematics
1 answer:
Lana71 [14]3 years ago
8 0

Explanation:

Let y=3x

To calculate the inverse, interchange

x and y,    

x =3 y

You might be interested in
An acorn is falling from 13 feet in the air. If it descends 4.8 feet every second, write and solve an equation to determine how
podryga [215]

Answer:

2.5

Step-by-step explanation:

12/4.8

5 0
3 years ago
A vegetable garden and it's around a pasta shaped like a square that together are 12 ft wide. A path is 1 feet wide. If one bag
Nat2105 [25]

The overall width of the path and garden is 12 feet.

The area of the entire garden and path is 12 x 12 = 144 square feet.

The path is 1 foot wide, so the garden would be 12 - 2 = 20 feet wide.

The area of the garden only would be 10 x 10 = 100 square feet.

The area of the path only = 144 - 100 = 44 square feet.

1 bag covers 9 square feet:

44 / 9 = 4.88

You would need 5 bags.

7 0
3 years ago
The Earth completely rotates on its axis once every 24 hours.
strojnjashka [21]

Answer:

A)

62/3 = 20.67 hours

B)

60.00 hours

C)

2074.29 miles

Step-by-step explanation:

If we assume the earth is a perfect circle, then in a complete rotation the earth covers 360 degrees or 2π radians.

A)

In 24 hours the earth rotates through an angle of 360 degrees. We are required to determine the duration it takes to rotate through 310 degrees. Let x be the duration it takes the earth to rotate through 310 degrees, then the following proportions hold;

(24/360) = (x/310)

solving for x;

x = (24/360) * 310 = 62/3 = 20.67 hours

B)

In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it takes to rotate through 5π radians. Let x be the duration it takes the earth to rotate through 5π radians, then the following proportions hold;

(24/2π radians) = (x/5π radians)

Solving for x;

x = (24/2π radians)*5π radians = 60 hours

C)

If the diameter of the earth is 7920 miles, then in 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle we have;

circumference = 2*π*R = π*D

                         = 7920π miles

Therefore, the speed of the earth is approximately;

(7920π miles)/(24 hours) = 330π miles/hr

The distance covered by a point in 2 hours will thus be;

330π * 2 = 660π miles = 2074.29 miles

8 0
3 years ago
A man saves 4% of his monthly
Reptile [31]

Answer:

Although the question is not clear, It most likely looks like you were asking for the calculation of the savings for the month after increase.

savings for the month after increase = $1172.4

Step-by-step explanation:

First, let us calculate how much was saved before the increase in savings:

monthly income = $19,540

Percentage saved = 4% of monthly income

= 4/100 × 19,540 = 0.04 × 19,540 = $781.6

Next, we are given the ratio of increase in savings as 3:2

Let the new savings amount be x

3 : 2 = x : 781.6

\frac{3}{2} = \frac{x}{781.6} \\781.6\ \times 3\ =2x\\2344.8 = 2x\\x =\frac{2344.8}{2} \\x = \$1172.4

therefore savings for the month after increase = $1172.4

Just incase you were looking for the savings before the increase, the answer is $781.6 (as calculated above)

4 0
2 years ago
The measures of ∠x and ∠y are equal. Which is the value of m?
Nikitich [7]

Answer:

The answer is 32. so basically m=32

5 0
3 years ago
Read 2 more answers
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