MATHEMATICS HIGH SCHOOL

Find the domain and range of the INVERSE of the given function.
Square root x-3

Answers

Answer 1
Answer: f(x)=√(x-3)\n y=√(x-3)\n y^2=x-3\n x=y^2+3\n f^(-1)(x)=x^2+3\n D:x\in\matxbb{R}\n R:y\in\langle3,\infty)

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Using the function in example one, what is the y value (output) when x=4?

Answers

Answer:

-7

Step-by-step explanation:

Using the formula given above, just put in 4 and replace x. It will give you an answer of -7

The sum of two numbers is 47. If the larger number is 25 more than the other, what are the two numbers? Let x x be the larger number and y y be the smaller number.

Answers

Answer:

The answer to your question is x = 36, y = 11

Step-by-step explanation:

Data

there are 2 numbers

their sum is 47

one is larger by 25

x is the larger

y is the smaller

Process

1.- Write two equations that help to solve this problem

                   x  +  y =  47               Equation l

                    x = y + 25                  Equation ll

2.- Solve the system of equation by substitution. Substitute Equation ll in equation l

                    (y + 25) + y = 47

-Solve for y

                    y + 25 + y = 47

                    2y = 47 - 25

                    2y = 22

                      y = 22/2

                      y = 11

- Find x, substitute y in equation ll

                     x = 11 + 25

                     x = 36

                   

Answer: the smaller number is 11. The larger number is 36

Step-by-step explanation:

Let x represent the larger number.

Let y represent the smaller number.

The sum of the two numbers is 47. It means that

x + y = 47- - - - - - - - - - -1

If the larger number is 25 more than the other number, the expression would be

x = y + 25

Substituting x = y + 25 into equation 1, it becomes

y + 25 + y = 47

2y + 25 = 47

2y = 47 - 25

2y = 22

y = 22/2

y = 11

x = y + 25 = 11 + 25

x = 36

30 × x = 90

Plzzz help

Answers

30 × x = 90

90 ÷ 30 = 3

So, x = 3.

Check:- 

30 × 3 = 90

Hope I helped ya!!!☺☺☺
Divide 90 by 30 to find the value of x.
90/30=3.
So x=3.

To check, substitute x as 3 in the equation. We get 30 X 3 = 90. We find that this is true. So x=3.

HELP! a square field has an area of 479 ft squared. what is the approximate length of a side of the field? give your answer to the nearest foot. explain your answer.

Answers

An area of a square is side multiplied by side, so since 479 is the area you would square root it. that would give you 21.88606862823929, just round that up to 22 feet and you got the approximate side length! so there ya go! good luck!

Final answer:

The problem involves finding the side length of a square field given its area. The side length is found by taking the square root of the area. Rounded to the nearest foot, the side length is approximately 22 feet.

Explanation:

The subject here is Mathematics, specifically focusing on geometry. More specifically, the problem is addressing the characteristics of square fields. A square is a shape which has all sides equal in length. The area of a square is calculated by squaring the length of one side (i.e., side * side) or more visually demonstrated as side2.

Given that the area of the square is 479 square feet, you need to find the length of one side. To do this, you would take the square root of the area, because the area of a square field is side2.

Mathematically expressed, this would be:

  • Side length = √Area
  • Side length = √479

Using a calculator, you will find the square root of 479 is approximately 21.89. We are asked to give the answer to the nearest foot, so you would round 21.89 to the nearest whole number to get 22 feet. Therefore, the approximate length of a side of the field is 22 feet.

Learn more about Square root here:

brainly.com/question/1540542

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If the area of the base of a rectangular solid is tripled, what is the percent increase in itsvolume?

Answers

If the height does not change, the volume is just tripled.

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Answers

Answer:

tacos bro :P

Step-by-step explanation:

Answer:

I like taco's better.. :D

Step-by-step explanation:
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