NEED HELP URGENTLY!!!!!
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 3x - 5 and g(z) = ²5 to
determine iff (z) andg(z) are Inverses of each other.

Answers

Answer 1

The functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) = 3x - 5

Here, g(x) is not given clearly.

But we can identify the given function as an inverse of each other.

Let's suppose the ordered pairs are:

[x, f(x)] and [x, g(x)]

The functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.

f(0) = -5 so for (0, -5) on the f(x) list then (-5,0) must be on the g(x) list

f(1) = -2 so for (1, -2) on the f(x) list then (-2, 1) must be on the g(x) list

f(2) = 1 so for (2, 1) on the f(x) list then (1, 2) must be on the g(x) list

Let's suppose:

g(x) = (x+5)/3

g(-5) = 0

g(-2) = 1

g(1) = 2

So the ordered pair (-5, 0), (-2, 1), and (1, 2) are in the list of g(x).

Thus, the functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.

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Related Questions

how many solutions does the following equation have? explain
5x- 3x + 5 = 8x +5

Answers

Answer:

Plug into desmos, the exact equation, and put in what point comes out.

Step-by-step explanation:

Answer:

Once fully solved, x is equal to 0, so it means that there is only one solution

Step-by-step explanation:

When you combine like terms (without adding variables to either side), the equation is equal to:

2x + 5 = 8x + 5

Then, the next step is:

5 = 8x + 5 - 2x

Finally, the last one is:

0 = 6x, which is x = 0.

|x|=x^2+x-15 solve absolute value equation and show steps please

Answers

Answer:

x=√15 or x = -5 or x=3

Step-by-step explanation:

Possibility one:

x=x^2+x-15

x-x^2=x^2+x-15-x^2 (subtract x^2 from both sides)

-x^2+x=x-15

-x^2+x-x=x-15-x (subtract x from both sides)

-x^2=-15

-x^2/-1=-15/-1 (divide both sides by -1)

x^2=15

square root both sides

x=√15 or x=-√15

Possibility two:

x=(-x^2+x-15)

x=-x^2-x+15 (simplify)

x-(-x^2-x+15)=-x^2-x+15-(-x^2-x+15) (subtract both sides by -x^2-x+15)

x^2+2x-15=0

(x-3)(x+5)=0 (factor left side of equation)

x-3=0 or x+5=0 (set factors equal to 0)

x=3 or x=-5

What is the product of 709 and 68?

Answers

Answer:

[tex]709*68=48212[/tex]

ans = 48212

It’s 48212 because if you calculate it that’s what you will get.

do a and b have the same value in the equations 2(a-1.1)=5.8 and 5/2b-2 3/4=7 1/4

Answers

Answer:

Yes

Step-by-step explanation:

Solve each equation and compare the solutions

1.

2(a - 1.1) = 5.8a - 1.1 = 5.8/2a - 1.1 = 2.9a = 2.9 + 1.1a = 4

2.

(5/2)b - 2 3/4 = 7 1/42.5b = 7 1/4 + 2 3/42.5b = 10b = 10/2.5b = 4

Both a and b have same value

Answer:

Yes, a and b have the same value in the given equations.

Step-by-step explanation:

Equation 1

      [tex]2(a-1.1)=5.8[/tex]

[tex]\implies 2a-2.2=5.8[/tex]

[tex]\implies 2a-2.2+2.2=5.8+2.2[/tex]

[tex]\implies 2a=8[/tex]

[tex]\implies \dfrac{2a}{2}=\dfrac{8}{2}[/tex]

[tex]\implies a=4[/tex]

Equation 2

    [tex]\dfrac{5}{2}b-2\frac{3}{4}=7 \frac{1}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{2 \times 4+3}{4}=\dfrac{7 \times 4+1}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{11}{4}=\dfrac{29}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{11}{4}+\dfrac{11}{4}=\dfrac{29}{4}+\dfrac{11}{4}[/tex]

[tex]\implies \dfrac{5}{2}b=\dfrac{40}{4}[/tex]

[tex]\implies \dfrac{5}{2}b=10[/tex]

[tex]\implies 2 \cdot \dfrac{5}{2}b=2 \cdot 10[/tex]

[tex]\implies 5b=20[/tex]

[tex]\implies \dfrac{5b}{5}=\dfrac{20}{5}[/tex]

[tex]\implies b=4[/tex]

Conclusion

As  a = 4  and  b = 4, the two variables have the same value in the given equations.

At a football game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team. If 455 people attending the game supported the home team, what was the total number of people attending the game?

Answers

Answer:

1300 ppl

Step-by-step explanation:

35%  = .35 in decimal

.35 x =455

x = 455/.35 = 1300 ppl

a. What is the volume, in cubic feet, of the box in the diagram?

b. How many of these boxes can fit in the cargo hold of the truck?

Answers

Volume is a three-dimensional scalar quantity. The number of boxes that can fit in the cargo hold of the truck is 54.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the box = Volume of the cube = a³ = (2.50)³ = 15.625 ft³

The volume of cargo hold = 7.50 × 7.50 × 15 = 843.75 ft³

Now, the number of boxes that can fit in the cargo hold of the truck will be,

Number of boxes = (Volume of truck container)/(Volume of box)

                              = 843.75/15.625

                              = 54

Hence, the number of boxes that can fit in the cargo hold of the truck is 54.

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What is volume of the box in diagram (in cubic ft.)

a = 2.5ft.

Volume of cube = a³

putting the value of a

Volume = (2.5ft.)³

Volume = 15.625 ft³

To find how many such boxes can be fit into the truck , we need to first find the volume of cargo hold of the truck and then divide it by the volume of 1 box

Volume of Cargo hold of truck =

= 15ft. × 7.5ft. × 7.5ft

= 843.75 ft³

No. of boxes that can be fit into the truck =

Volume of truck/ Volume of one box

= 843.75ft.3³/15.625ft.³

= 54 boxes

11. Write an equation of the line with x-intercept (-7,0) and y-intercept (0,5).

Answers

Answer:

5x-7y+35=0.

Step-by-step explanation:

1) according to the condition it is possible to make up the required equation:

[tex]\frac{x}{-7} =\frac{y}{5} =1;[/tex]

note, the numbers -7 and 5 are from the given coordinates;

2) if to re-write the equation into common form, then

5x-7y+35=0.

150 inches equals how many feet and inches?

Answers

Answer:

12 feet and 6inches ..................

Answer:

12 feet and 6 inches

Step-by-step explanation:

The area of triangle ABC is 50 square units. What is the length of CD?

Answers

The triangle spilts into two 45-45-90 triangle. Because of that, the short leg and long leg with be the same length. It gives the hypotenuse, 10. Divided 10 by √2 which is 5 √2. The length of CD is 5 √2

<~~• ¥ Pls HELP me!! ¥ • ~~>

Pls help me figure out the 3 boxes left pls help me

Answers

Step-by-step explanation:

divide equation by 2

subtract 6

-x

If two samples are drawn randomly from the same population and sample A has n=350 and sample B has n=500, which sample will have a larger standard error of the mean?
Group of answer choices

Sample B

Sample A

The standard errors will be the same

Answers

Answer:  Sample A

Reason:

The standard error of the mean has the formula [tex]\frac{\sigma}{\sqrt{n}}[/tex] where [tex]\sigma[/tex] (greek letter sigma) is the standard deviation and n is the sample size.

As n gets bigger, the standard error [tex]\frac{\sigma}{\sqrt{n}}[/tex] gets smaller, and vice versa. This assumes sigma is fixed. A larger sample indicates the error goes down to narrow in better on the population mean.

Based on what I mentioned, this tells us that sample A has the larger standard error since n = 350 is smaller than n = 500 for sample B.

hey can anyone help find the missing measurement pls

Answers

Answer:

? ≈ 6.5 yd

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here A = 13.3 and h = 4.1 , then

[tex]\frac{1}{2}[/tex] × 4.1b = 13.3 ( multiply both sides by 2 to clear the fraction )

4.1b = 26.6 ( divide both sides by 4.1 )

b = ? ≈ 6.5 yd ( to the nearest tenth )

PLEASE HELP ME ANSWER THIS

Answers

9 millimeters squared

Aiden earned $334.40 at his job when he worked for 16 hours. How much money did he earn each hour?

Answers

20$ per hour or if you want to be specific 20.9$ or rounded 21$
Answer : 20.9

Answer:

$20.90

Step-by-step explanation:

If we want to find Aiden's hourly rate, and we know how long he worked, and how much money he made, then we can simply divide his profit by how long he worked. This will give us the precise amount of money he made per hour.

So,

$334.40 / 16 hours = 20.9

This means Aiden earned approximately $20.90 per hour.

Hope this helped!

Question Nine 8 coins are tossed what is the probability of getting at least one Head showing on any of the coins?​

Answers

The probability of at least one of the coins showing heads is 4

calculate the height of a cuboid with the following dimension a length is equal to 10 cm, height is equal to 5.5 cm, volume is equal to 385cm³​

Answers

Volume is a three-dimensional scalar quantity. The height of the cuboid is 7 cm.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the volume of the cuboid is 385cm³, the length of the cuboid is 10cm, while the width of the cuboid is 5.5 cm, therefore, the height of the cuboid is,

385cm³ = 10cm × 5.5cm × H

H = 385cm³/(10cm×5.5cm)

H = 7cm

Hence, the height of the cuboid is 7 cm.

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Write 2.19 as the ratio of two integers in fraction form

Answers

Answer:  [tex]\frac{219}{100}[/tex]

======================================================

Explanation:

Think of [tex]2.19[/tex] as [tex]\frac{2.19}{1}[/tex] or [tex]\frac{2.19}{1.00}[/tex]

This works because dividing anything over 1 does not change the original number.

Then we can move the decimal point two spots to the right for each number

2.19 becomes 2191.00 becomes 100

Therefore, [tex]2.19 = \frac{219}{100}[/tex]

Jaxon is flying a kite, holding his hands a distance of 3.25 feet above
the ground and letting all the kite's string play out. He measures the
angle of elevation from his hand to the kite to be 24°. If the string from
the kite to his hand is 105 feet long, how many feet is the kite above the
ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

Using the slope concept, it is found that the kite is 46.50 feet above the ground.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

The angle is of 24º.The vertical change is of 3.5 + x.The horizontal change is of 105.

Hence:

tan(24º) = (3.5 + x)/105.

3.5 + x = 105tan(24º)

x = 105tan(24º) - 3.5

x = 43.25 ft.

Hence, the height of the kite is:

43.25 ft + 3.25 ft = 46.50 feet.

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Answer:

Step-by-step explanation:

105

105

x

sin

24

1

=

1

sin 24

=

105

105

x

105

sin

24

=

105 sin 24=

x

Cross multiply.

=

42.707347...

x=42.707347...

Type into calculator.

Add 3.25, the distance from the ground to his hand:

Add 3.25, the distance from the ground to his hand:

42.707347...

+

3.25

=

42.707347...+3.25=

45.957347...

45.957347...

46

46

Round to the nearest tenth.

The kite is 46 feet above the ground.

The kite is 46 feet above the ground.

I need help finding the answer to this

Answers

Answer:

Step-by-step explanation:

Remark

If the figures are similar then this is a proportion question. A proportion is 2 equation ratios. The ratios can have at most 1 unknown.

Givens

DC = 7

ML = 4.9

AB = 4

JK = x

Equation

DC/ML = AB/x                  Substitute values into equation and solve

Solution

7/4.9 = 4/x                        Cross Multiply

7x = 4 * 4.9                       Combine the right.

7x = 19.6                           Divide by 7

7x/7 = 19.6/7

x = 2.8

Answer

x = 2.8

a shape is shown on the centimetre grid below work out the area of the shape after it has been enlarged by scale factor 2 state the units of your answer

Answers

Answer:

20 cm²

Step-by-step explanation:

If the given shape has been enlarged by scale factor 2, then each of the side lengths will be increased from 1 cm to 2 cm, as 1 × 2 = 2

Area of the given shape is 5 cm².

As we are working with area, we cannot simply multiply the area of the given shape by the scale factor.  Area is measured in square units, therefore we need to multiply the area of the given shape by the square of the scale factor.

⇒ area of the enlarged shape = area of given shape × sf²

                                                  = 5 cm² × 2²

                                                  = 5 cm² × 4

                                                  = 20 cm²

(see attached image for proof)

(BRAINLIEST) What is the slope of the line shown in the graph?

2

−1

−fraction 1 over 2

fraction 1 over 2

Answers

slope= rise/run

= y2-y1/ x2-x1
=2-1/ -2-0
= 1/-2

Hence, slope= -1.5 or -1/2

Answer: the slope is y=-1/2

Step-by-step explanation:

because the line is moving from left to right, it is a negative slope

A jogger on the beach at Cape Hatteras covered 8 miles at a constant speed. Given that distance run varies directly as time, what is the constant of variation in miles per hour if it took the jogger 45 minutes to cover the 8 miles?

Answers

The velocity of the jogger will be 0.18 miles per minute.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object in a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

Given that:-

It took the jogger 45 minutes to cover the 8 miles

The velocity will be calculated as:-

V   =   Distance  ÷   Time

V   =   8     ÷    45

V   =   0.18 miles per minute

Therefore the velocity of the jogger will be 0.18 miles per minute.

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What is the sum of all the angles that are labeled?

Answers

Answer:

61 + 142 + 44 = 247˚

Step-by-step explanation:

Just add haha

the person above is right

Which expression is equivalent to the expression shown?
7
71 7²
2
16
7
1'
712

Answers

7¹⁴÷7²

= 7¹⁴-²

=7¹²

hope this helps:)

Select the correct answer. Which expression is equivalent to the given expression? √150​

Answers

Answer:

5√6

Step-by-step explanation:

√25 x 6

√25 x√6

5√6

whats the volume formula?

Answers

Volume = l × w × h , where l is length, w is width and h is height.

762/164,391

Need full work

Answers

Answer:

254/54797

Step-by-step explanation:

image attached

Find the indicated side of the
triangle.

Answers

Answer:

[tex]\huge \orange{b = \boxed{ 6} \sqrt{ \boxed{3}} }[/tex]

Step-by-step explanation:

[tex]a = 12 \sin 30 \degree \\ \\ \implies \: a = 12 \times \frac{1}{2} \\ \\ \implies \: \huge \red{ a = 6} \\ \\ b = 12 \cos 30 \degree \\ \\ \implies \: b = 12 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: b = 6 \times \sqrt{3} \\ \\ \implies \: \huge \orange{b = \boxed{ 6} \sqrt{ \boxed{3}} }[/tex]

The GCF of 12 and 28 is _____.

Answers

Answer:

The GCF of 12 and 28 is 4

hope it helpsss

Answer: is 4 thats the answer

Step-by-step explanation: i have none im not good at explaining math welp have a good day

Round your answer to the nearest hundredth.

Answers

[tex]\bold{ANSWER:}[/tex]
12.84

[tex]\bold{EXPLANATIONS:}[/tex]
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