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aleksandrvk [35]
2 years ago
14

Please helppp meeeeee

Mathematics
1 answer:
alexira [117]2 years ago
4 0

Answer:  16) \bold{\sqrt{x}}        (17) \bold{\dfrac{x-4}{2}}        (18) \bold{\sqrt{x}-2}       (19)  3x - 18

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's and then solve for y

16) Given: y = x²

Swapped: x = y²

                \bold{\sqrt{x} =y}

17) Given:  y = 2x + 4

Swapped: x = 2y + 4

            x - 4 = 2y

            \bold{\dfrac{x-4}{2}=y}

18) Given:  y = (x + 2)²

Swapped: x = (y + 2)²

               √x = y + 2

        \bold{\sqrt{x}-2=y}

19) Given:  y=\dfrac{1}{3}x+6

Swapped: x=\dfrac{1}{3}y+6

            x - 6 = \dfrac{1}{3}y

            3(x - 6) = y

            3x - 18 = y

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A cardboard box of 32 in^3 volume with a square base and open top is to be constructed. What is the length of base that will min
stiv31 [10]
Volume = are base*height
32 = x^2*h --> h = 32/x^2

surface area =  4x(32/x^2) + x^2 
SA = 128/x + x^2

SA' = -128/x^2 + 2x = 0
2x = 128/x^2
2x^3 = 128
x^3 = 64
x = 4

surface area minimized when length of base is 4 in.

hope this help
6 0
2 years ago
Read 2 more answers
The total cost f(x), in dollars, for renting a bike for x hours is shown:
GaryK [48]

Answer:

D

Step-by-step explanation:

($20/hr) is the hourly rental rate, and x is the number of hours for which the bike is rented.

In    f(x) = 10 + 20x   letting x = 10 results in the total rental cost of the bike for 10 hours (Answer D)

5 0
3 years ago
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The diagram shown is two intersecting lines. The measure of 5 is 47°.
Oksi-84 [34.3K]

a. Using the vertical angles theorem, m∠7 = 47°.

b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.

c. x = 69

<h3>What is a Linear Pair?</h3>

A linear pair is two angles whose sum equals 180°.

Given the image, where:

m∠5 = 47°

a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:

m∠7 = m∠5 = 47°

m∠7 = 47°

b. m∠6 = (2x - 5)°

m∠6 + m∠5 = 180° (linear pair)

Substitute

2x - 5 + 47 = 180 (equation that can be used to solve x)

c. 2x - 5 + 47 = 180

2x + 42 = 180

2x = 180 - 42

2x = 138

x = 138/2

x = 69

Learn more about linear pair on:

brainly.com/question/3768841

6 0
2 years ago
chest volume is 8100 cubic inches the length is 30 inches and the width is 15 inches how tall will the chest be
romanna [79]

The volume of a cuboid is given in terms of length, width, and height by ...

... V = LWH

Filling in the given numbers, we can solve for the height.

... 8100 in³ = (30 in)(15 in)H

Dividing by the coefficient of H, we have ...

... (8100 in³)/(450 in²) = H = 18 in

The chest will be 18 inches tall.

4 0
3 years ago
Quadrilateral ABCD ​ is inscribed in a circle.
3241004551 [841]
The meaning of a quadrilateral inscribed in a circle is that the angles on the opposite vertices are supplementary or in other words equals to 180 degrees.

In this exercise it is asked you to find the measure in degrees of angle A. First of all, you have to find the value of x. To do this you have to select two angles on this case angles A and C.

m<A+m<C=180          Substitute the values of angles A and C
2x+9+3x+1=180          Combine like terms       
        5x+10=180          Subtract in both sides by 10                           
              5x=170          Divide in both sides by 5 to isolate x               
                x= 34

Now that the value of x is known, you can substitute it into the expression representing angle A.

m<A=2x+9
m<A=2(34)+9
m<A=77

The measure of angle A is 77 degrees.
 



3 0
3 years ago
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