The function h(x) is given below.

h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}

Which of the following gives h–1(x)?
{(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)}
{(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
{(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
{(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}

Answers

Answer 1

The inverse function will be h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}. Then the correct option is B.

What is inverse of a function?

Suppose that the given function is

f:X → Y

Then the inverse of the considered function will be

f⁻¹: Y → X

The function h(x) is given below.

h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}

Then the coordinate of the inverse function gets swapped.

h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}

Then the correct option is B.

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Related Questions

How many feet of fencing will George need for the dog run?
22 feet
68 feet
76 feet
82 feet

Answers

George will need to do 76 ft. of fencing , Option C is the correct answer.

What is a Rectangle ?

A rectangle is a polygon with four sides , angles and vertices , the opposite sides are parallel and equal.

Area of the dog run = 240 sq.ft

Length of the run is 30 ft

Width is 30-x ft.

Area of a Rectangle = Length * Width

240 = 30 * (30-x)

8 = 30 -x

x = 22 ft.

Width is (30-220 = 8)

The perimeter of the rectangle is = 2(Length + Width )

Perimeter = 2( 30 +8)

Perimeter = 2 * 38 = 76 feet

Therefore George will need to do 76 ft. of fencing.

The complete question is

George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled  How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet

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Answer:

late a-s-f but 68 ft

Step-by-step explanation:

Need help finding the one complete period of a non transformed contangent function

Answers

One complete period of a non-transformed cotangent function is π.

The period of the function is defined as the interval after which the function value repeats itself.

For example, f(T+x)=f(x)

where T is the period of the function.

Here given that there is a non-transformed function cotangent function.

We have to find the period of the function in which interval the value of the function will repeat.

So for the function y=f(x)=cot x

the period of the function is π. means after π the value of the cotangent repeats.

cot(π+x)=cot x

Then one cycle of the cotangent graph lies between 0 and π.

Therefore One complete period of a non-transformed cotangent function is π.

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the coordinate of two point P(4,6) and Q(5,-7) then find (abicissa of P) -(abicissa of Q)

Answers

The value of (abscissa of P) -(abscissa of Q) is -1.

The given coordinates are P(4,6) and Q(5,-7).

We need to find (abscissa of P) -(abscissa of Q).

What is abscissa?

The horizontal coordinate of a point in a planar Cartesian coordinate system that is determined by measuring parallel to the x-axis is what abscissa stands for.

Now, (abscissa of P) -(abscissa of Q)=4-5=-1

Hence, the value of (abscissa of P) -(abscissa of Q) is -1.

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If lines / and mare parallel, and D6 = 1150, which is D4? ​

Answers

Answer:

D. 115

Step-by-step explanation:

because if Angle 6 is 115 then so is Angle is 4 due to AIA (alternate Interior Angles)

LAST ONE PLEASE ANSWER IT

Answers

Answer:

B.

Step-by-step explanation:

The product of means that you're multiplying, which means that you need to use parentheses. That narrows it down to B or D. Since the question asks you to provide a number first (x) and then 11, that means that 11 will be subtracted from the number.

Help me O people!
Please!

Answers

Answer:

the answer is L

Step-by-step explanation:

that's just how u round

Its L if ur rounding to the nearest tenth

FIND THE EQUATION FOR THE LINE SHOWN

Answers

Answer:

y = 2x - 1

Step-by-step explanation:

gradient is defined as rise over run.

we need coordinates that are both whole numbers. from looking at the graph, I have (0, -1) and (1, 1)

for the run, 1 - 0 = 1

for the rise, 1 - -1 = 2

2 / 1 = 2

it crosses the y-axis at -1

therefore in the form y = mx + b, the equation is y = 2x - 1

The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both.

A 4-column table with 3 rows. The first column has no label with entries cantaloupe, not cantaloupe, total. The second column is labeled watermelon with entries 93, 66, 159. The third column is labeled not watermelon with entries 16, 25, 41. The fourth column is labeled total with entries 109, 91, 200.

Which is the marginal relative frequency for the people who do not like cantaloupe?

StartFraction 25 Over 91 EndFraction
StartFraction 66 Over 200 EndFraction
StartFraction 91 Over 200 EndFraction
StartFraction 66 Over 91 EndFraction

Answers

The marginal frequency for the people who do not like cantaloupe is StartFraction 91 Over 200 EndFraction/

The correct option is (C),

What is Marginal Relative frequency?

Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data.

Given:

                               Watermelon      Not watermelon     Total

Cantaloupe                  93                       16                         109

Not cantaloupe           66                       25                         91

Total                             159                       41                          200

Hence, the Marginal Relative frequency is = 91/200 = 0.455

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what is the simlest form of the ratio 32:48

Answers

23 steps to simplifying

Answer: 2:3

Step-by-step explanation:

First list out the factors for 32 and 48

32- 1, 2, 4, 8, 16, 32

48- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The greatest factor they have in common is 16. So, divide both numbers by 16 to get the simplest form of the ratio.

32/16=2

48/16=3

The simplest form is 2:3

What ordered pair is a solution of the equation?

y=-2x-5

Answers

[tex] \sf \underline{Answer:}

[/tex]

Pick any value for x, like x = 0, plug it into the equation, and get the value for y. For x = 0,

2(0) + y = 5

y = 5

The ordered pair is (0,5). Find other ordered pairs using the same reasoning.

[tex]2(0) + y = 5[/tex]

[tex]y = 5[/tex]

The ordered pair is (0,5).

Which set of ordered pairs represents a line that is perpendicular to the given set:
(12,3) (9.4)?

Answers

Using linear function concepts, it is found that a set of ordered pairs with a slope of 3 is perpendicular to the set (12,3), (9,4).

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

If two lines are perpendicular, the multiplication of their slopes is of -1. The set (12,3), (9,4) has the slope given by:

m = (4 - 3)/(9 - 12) = -1/3.

Hence, for the perpendicular set:

[tex]-\frac{1}{3}m = -1[/tex]

m = 3.

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can someone please do this for me ​

Answers

The range is from the maximum point into infinity that is [4, infty) and the vertex is at (0, 4)

Vertex, domain and range of a function

The given graph is a parabola. It represents the graph of a quadratic equation.

From the shown graph, the parabola has a maximum point at (0, 4). This is also the vertex of the graph

The domain area values along the x-axis while the range lies on the y-axis. From the graph shown, the domain is [-2, 2] (x lies between -2 and 2)

The range is from the maximum point into infinity that is [4, infty)

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A pair of jeans costs $58. They are on sale for 15% off. What is the discount and final price?

Discount = $ _._ _
Selling Price = $ _ _ . _ _

Answers

Answer:

Discount=$8.7

Selling price=$49.3

Step-by-step explanation:

First you need to write that in an equation form-

a/58=15/100

Then you need to do cross multiplication-

100a=58(15)

100a=870

Now divide 100 from both sides-

100a/100=870/100

a=8.7

Thats the discount rate

Now subtract that from the original price

58-8.7=49.3

Thats the price after the discount

Hope this helped :)

50 POINTS .....................

Answers

The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have data shown in the picture.

Let's suppose the regression line is:

y = mx + c

Where m is the slope of the regression line and c is the y-intercept of the line.

We can calculate the value of m and c by using the formula.

After calculating, we get:

m = 0.4925

c = -22.26

Mus. Apt. = 0.49253(IQ score) - 22.26

or

Mus. Apt. = -22.26 + 0.4925(IQ score)

Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

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Answer:

The option (C) Mus. Apt. = -22.26 + 0.4925[the IQ score] is the correct answer. Because the value of slope is 0.4925 and the y-intercept is -22.26.

) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?​

Answers

Step-by-step explanation:

please mark me as brainlest

can 18 7 10 make a triangle

Answers

Answer:

No, 18 7 10 are can not make a triangle.

Step-by-step explanation:

First of all, what does a Triangle?

A flat geometric figure that has three sides and three angles. OR something that has three sides and three angles a triangle of land.

Three sides form a triangle :  if sum of length of two sides is greater than the third side. But here

10+7=17 < 18.

That is the sum of two sides (10+7) is less than the third side i.e 18

So that 18 7 10 are can not make triangle.

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Answer:

18 7 10 are can not make a triangle.

Step-by-step explanation:

Definition of a Triangle

A figure that has three sides and three angles is knows as a triangle

And a property of a triangle is that the sum of length of two sides should always be greater than the third side.

We have given the length of sides as : 18 7 10

now check it :

(i) 18 + 7 = 25 which is greater than 10

(ii) 18 + 10 = 28 which is greater than 7

(iii) 7 + 10 = 17 which is lesser than 18

so  the sum of two sides (10+7) is less than the third side 18

Therefore 18 7 10 are can not make triangle.

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A rectangular photograph measures 24 x 19 cm. It is mounted on a card of size such that there is a 2 cm border all around. For the purposes of this question take the length of the photograph to be 24 cm. If one of the borders must be 2cm in width, determine the width of a possible length and width so that the inner and outer rectangles are similar. (I NEED HELP PLEASeeeeeeeeeeeeeeeee)

Answers

The possible length is 28cm and width is 23cm.

Rectangle is a two dimension figure with length and width.

Area of the rectangle is given by length × width.

Perimeter of the rectangle is given by 2 ( length + width ).

Given that dimension of a rectangular photograph is 24 × 19 cm.

So, Length of the rectangular photograph = 24 cm

Width of the rectangular photograph = 19cm

It is given that rectangular photograph is mounted on a card which has 2cm border all around.

Therefore, Length = 24cm + 2cm + 2cm = 28cm

Width = 19cm + 2cm + 2cm = 23cm.

Hence, the possible length so that the inner and outer rectangles are similar = 28cm

The possible width so that the inner and outer rectangles are similar = 23cm

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The possible length is 28cm and width is 23cm.

Rectangle is a two dimension figure with length and width.

Area of the rectangle is given by length × width.

Perimeter of the rectangle is given by 2 ( length + width ).

Given that dimension of a rectangular photograph is 24 × 19 cm.

Therefore, Length of the rectangular photograph = 24 cm and

Width of the rectangular photograph = 19cm

It is given that rectangular photograph is mounted on a card which has 2cm border all around.

Therefore,

Length = 24cm + 2cm + 2cm = 28cm

Width = 19cm + 2cm + 2cm = 23cm.

Hence, the possible length so that the inner and outer rectangles are similar = 28cm

The possible width for the inner and outer rectangles are similar = 23cm

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Proving Vertical Angles Are Congruent

Answers

Answer:

Vertical angles are always congruent

Step-by-step explanation:

Answer:

Statement

Measure of angle 2 and 3 are a linear pair and

Reason

Definition of linear pair

Step-by-step explanation:

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The graph represents a function.
2
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
O (2, -1) O (-5,2) O (2,-5) (-2,5)

Answers

(-5, 2) is the only point which we plot in given graph then it still represent a function.

What is Function?

A function is a special type of relation in which each and every element of set A have a unique image in its codomain set B.

Here, Given points on graph

{(-4, 2), (-2, -3), (2, 3), (3, -1)}

2 and -2 are already available in given ordered pair.

so only (-5, 2) is the only option which satisfies the definition of function.

Thus, (-5, 2) is the only point which we plot in given graph then it still represent a function.

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Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?

Answers

Step-by-step explanation:

hope it helps you understand

the question is below

Answers

Answer:

B. $4.75

Step-by-step explanation:

3(4) + 7 = 19

19/4=4.75

Answer:

B

Step-by-step explanation:

First, 3n + 7 while n = 4 then 3*4 = 12 + 7 = 19. Next, you do 19/4 which is
            n
equal to 4.75.



I Hope This Helped :D
           

Which table can be generated from the equation y = 2x + 17

Answers

Step-by-step explanation:

x | y

-2.| 13

-1. | 15

0. | 17

1. | 19

2. | 21

just start with the y-intercept and then add 2 or subtract two depending on whether your increasing x or decreasing x. as x increases 1 y increases 2.

R
53°
1
2
T
S
47°
What are the measures of angles 1 and 2?
mz1 =
mz2 =

Answers

Answer:

m∠1 = 50°

m∠2 = 130°

Step-by-step explanation:

There is a formula:

[tex]\text{angle} = \frac{1}{2} (\text{intercepted arc}_1 + \text{intercepted arc}_2)[/tex]

[tex]\text{m} \angle 1 = \frac{1}{2} (53^\circ + 47^\circ)[/tex]

[tex]\text{m} \angle 1 = \frac{1}{2} (100^\circ)[/tex]

[tex]\text{m} \angle 1 = 50^\circ[/tex]

Angle 1 and angle 2 together form a straight angle, which measures 180°. Angle 1 and angle 2 are suplementary angles.

[tex]\text{m} \angle 1 + \text{m} \angle 2 = 180^\circ[/tex]

[tex]50^\circ + \text{m} \angle 2 = 180^\circ[/tex]

[tex]\text{m} \angle 2 = 180^\circ - 50^\circ[/tex]

[tex]\text{m} \angle 2 = 130^\circ[/tex]

MATHHH. Probability section!!! HELP!
please give the right answer.

Answers

Answer:

answer = 1/4 < 7/25

Step-by-step explanation:

the theoretical probability is that because the spinner has 4 equal sized sections, it should land on each 25 times, 25/100 is 1/4  

28/100 is the experimental probability of landing on H, so that can be simplified to 7/25 as both numbers can be divisible by 4.

Hope this helps:)

h = 3 + 31t - 161²
Find all values of t for which the ball's height is 17 feet .​

Answers

Answer:

t= 31/175 5.64516129

Step-by-step explanation:

Refer Pic For Steps....

Hope it Helps!!!

Emily invested $810 in an account paying an interest rate of

Answers

Answer:

complete this

Step-by-step explanation:

yeah do it

Find h(1) if h(x)=4x2 +3x - 2

Answers

Answer:

[tex]h(1) = 4 \times 2 + 3 \times 1 - 2 \\ = 9[/tex]

can someone help with this

Answers

Step-by-step explanation:

-10-2x = 3x+15

5x = -25

x= -5

vType the correct answer in each box. If necessary, use / for the fraction bar(s). Given: . If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of is . If the coordinates of point D are (5 , 5), the equation of line is y = x + .

Answers

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is y=-(7/5)x + (56/5).

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given two points of the line AB, where the coordinates of point A are (8,0) and the coordinates of point B are (3,7). Now, the slope of the equation can be written as,

m = (0-7)/(8-3) = -7/5

Substitute any one of the points in the equation,

y = -(7/5)x + c

7 = -(7/5)3 + c

7 = -21/5 + c

76/5 = c

Hence, the equation of the line is y=-(7/5)x + (56/5).

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Find the solution to the system
of equations.
4
y = 2x + 2
3
2
([?], [ ])
-4-3-2/1
1 2 3 4
y=-x-3
-1
-2
3
-4

Answers

Answer:

(- 2, - 2 )

Step-by-step explanation:

the solution to the system is at the point of intersection of the 2 lines.

the 2 lines intersect at (- 2, - 2) , then

solution to the system is (2, - 2 )

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