If a function is defined by the formula y=1/2x + 3 and its domain is given by the set {-4,0,8}, then which of the following sets gives the function's range?

Answers

Answer 1

Answer:

y = {1, 3, 7}

Step-by-step explanation:

Given

y = ½x + 3

Domain: {-4, 0, 8}

Required

Determine the range of the function

To do this, we simply substitute each value of the domain in the given expression

We start with the first

Substitute -4 for x in y = ½x + 3

y = ½ * -4 + 3

y = -2 + 3

y = 1

Then 0

Substitute 0 for x in y = ½x + 3

y = ½ * 0 + 3

y = 0 + 3

y = 3

Lastly, 8

Substitute 8 for x in y = ½x + 3

y = ½ * 8 + 3

y = 4 + 3

y = 7

Hence, the range of the function is:

y = {1, 3, 7}

Answer 2

Answer:1,3,7

Step-by-step explanation:


Related Questions

Which of these shows the following expression factored completely? 6x2 – 13x +5 ​

Answers

Answer:

B

Step-by-step explanation:

That's my guess.

Answer:

C

Step-by-step explanation:

Michael wants to purchase a jeep. The purchase price of the Jeep is $37,000. The
dealership will allow him to pay cash or finance the Jeep with a down payment of
$5,000.00 and 60 monthly payments of $625.00. Michael chose to finance the jeep.
Answer the following questions.
a) What is the amount financed?
b) What is the total amount of monthly payments?
C} What is the amount of the finance charge?

Answers

Answer:

A) $32,000 B) $37,500 C) $5,500

Step-by-step explanation:

Price of jeep: $37,000

Michael uses $5,000 of his own money toward that total $37,000-$5,000= $32,000

Monthly payments $625.00×60months=$37,500

After paying $5,000 of his own money, & bringing theamount owed to $32,000. Michael still has to pay back $37,500. Making, the finance chardge $5,500. ($37,500-$32,000= $5,500)

Amount financed =  $32000, total amount of monthly payment = $37500 and total amount of the finance charge = $5500.

What is dealership finance ?

"Dealer financing is a type of loan that is originated by a retailer to its customers and then sold to a bank or other third-party financial institution. The bank purchases these loans at a discount and then collects principle and interest payments from the borrower. This is also called an indirect loan."

According to the question,

Given,

Price of jeep = $37000

Down payment = $5000

Total number of monthly payment = 60

Amount to be paid after down payment

= $37000 - $5000

= $32000                                                  ____( 1 )

Amount paid in Monthly payments = $625.00 × 60months

                                                          = $37500          ____( 2 )

From ( 1 ) and ( 2 ) we get,

Finance charge amount = Total monthly amount - Total amount financed

                                        = $37500 - $32000                                    

                                        = $5500

Hence, amount financed , total amount monthly payment and total amount of the finance charge is $32000 , $37500 and $5500.

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-3/-11 + 5/9 find the sum

Answers

I think the answer is .8282
The sum will be 82/99 or also in decimal form 0.82

What is the unit rate if the candy is $7.80 for 2 pounds?

Answers

Answer:

= 3.9 candy per pound

Step-by-step explanation:

This is a fraction equal to

7.8 candy ÷ 2 pounds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7.8 candy        ÷ 2

________

2 pounds ÷ 2

=  

3.9 candy

_______

1 pound

=  

3.9 candy

_______

pound

= 3.9 candy per pound

Drag the phrases into the box to match each expression.

Answers

You need to show a picture

Answer:

theres no image

Step-by-step explanation:

While on vacation, Jorge and Jackie traveled to Bryce Canyon National Park in Utah. They were impressed by the different elevations at the viewpoints along the road. The graph describes the elevations for several viewpoints in terms of the time since they entered the park. The graph represents a function E(t). Part A:Describe why the graph represents a function. Part B:Identify the domain in range of the function.

Answers

Answer:

timeline

Step-by-step explanation:

the table shows the same time I don't have your phone you u you y you can get a hold of y have a lot to do it you got a

The domain and range provides a definition for a graph

Part A: The graph represents a function because a vertical line drawn from the horizontal crosses the graph only once

Part B. Domain: 0 ≤ t ≤ 30

Range: 7000 < f(t) ≤ 9,300

Reason:

Part A: The reason why the graph represents a function is that a function is a one to one relationship that maps each element of the set known as the domain to exactly one element of the set which is the range of the function

Therefore, a vertical line drawn on the graph of a function crosses the graph only once, such that one input cannot have two outputs

Which gives that the graph is a function, given that all the vertical lines from the horizontal axis crosses the graph f(t) at exactly one point

Part B

Domain:

The domain of a function are the possible input values of the function

In the graph, the possible values of the time, t are; 0 ≤ t ≤ 30

The domain of the function is 0 ≤ t ≤ 30

Range:

The range of a function are the possible output values of the function

The range of the given function f(t) are; from approximately 7,000 feet to approximately 9,000 feet, which gives;

The range of the function: 7000 < f(t) ≤ 9,300

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Kaley and Tom both work at Publix. for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' wages for Kaley and Tom if h represents the number of hours Tom worked? What is another way to write the expression?

Answers

X=5+h because X equals Kaley and if you add 5 hours to h (Tom) then you get Kaley/X

n= 101
p= 0.24
p(0.20 < p <0.30) =

Answers

Answer:

N = 101

p = 0.24

p ( 0.2 ) < p < 0.3

Step-by-step explanation:

Which of the following expressions is equivalent to the one below? 7(x + 7)


A.
7 + (x + 7)
B.
7x + 49
C.
7x + 7
D.
x + 49

Answers

B
Let me know if this helps

what kind of graph is this?

Answers

Answer:

Linear

General Formulas and Concepts:

Types of Graphs

LinearQuadraticExponentialCubicSquare rootCube root

Step-by-step explanation:

Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.

Could someone please guide me towards solving side x I know I have to use trig but I'm completely lost

Answers

Answer:

x = 33.13 units

Step-by-step explanation:

Let the altitude of the triangle be h units.

[tex] \sin 65 \degree = \frac{h}{31} \\ \\ 0.906307787 = \frac{h}{31} \\ \\ h = 0.906307787 \times 31 \\ \\ h = 28.0955414 \\ \\ \cos \: 32 \degree = \frac{h}{x} \\ \\ 0.8480480962 = \frac{28.0955414}{x} \\ \\ x = \frac{28.0955414}{0.8480480962} \\ \\ x = 33.1296556 \\ \\ x \approx 33.13 \: units[/tex]

Answer:

x = 23.7926

Step-by-step explanation:

Step 1

Find the length of vertical line segment, lets call it h. Use function cos

h/31 = cos 66°h = 31 * cos 66° = 31*0.4067 = 12.6077

Step 2

Find x using another function, sin

h/x = sin 32°x = h / sin 32°x = 12.6077 / 0.5299x = 23.7926

I need to find the slope.​

Answers

Answer:

The slope is 3/2

Answer :
3/2

Rise 3
Run 2

Chad bought 1 box of raisins. He gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. What fraction did he keep?
Write the answer in the simplest form

Answers

Answer:

He kept 7/12 of the box.

Step-by-step explanation:

We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.

1/6 = 2/12  | 1/4 = 3/12

then add.

2/12 + 3/12 = 5/12.

we subtract this from a whole, which is 12/12.

12/12 - 5/12 = 7/12

he keeps 7/12 of the box

hope this helped!

Plzzzzz HELPPP WITH DIS LOOK AT THE PHOTO

Answers

Vanessa can make 5 portions

-24 = -8(5x-7) im confused

Answers

Answer:

x=2

Step-by-step explanation:

In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.

-24 = -40x + 56  now you can solve it start by subtracting 56 on both sides

-80 = -40x now divide -40 on both sides

2=x

I hope this helps :)

have a nice day

a dolphin in a aquaruim is 12 feet long. A scale model of the dolphin is 3 1/2 in long. What is the scale factor of the model

Answers

Answer:The scale factor= 1 : 41.14

Step-by-step explanation:

I did research on it

1. How many terms are in 7y-2+9x-4?

Answers

Answer:

2 and they are x and y

Step-by-step explanation:

write the equation of the line in standard form passing through (2,-4) with a slope of -7​

Answers

Answer:

7x+Y=-2

Step-by-step explanation:

(y-y1)=m(x-x1)

(Y+4)=-7(x-2)

Y+4=-7x+2

Y+7x=2-4

7x+Y=-2

Rewrite the function f(x)=2(x-1)^2-1 in the form f(x)=ax^2+bx+c

Answers

Answer:

2x^2-4x+1

Step-by-step explanation:

2(x-1)^2-1

2(x^2-2x+1)

2x^2-4x+2-1

2x^2-4x+1

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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]

[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?

Answers

Answer:

$90

Step-by-step explanation:

70-25 = 45

45x2 = 90

You randomly selected one card from a 52-card desk. Find the probability of selecting a black nine or black three

Answers

The answer is one and 13

There are 7 students in a class: 2 boys and 5 girls.If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?

Answers

Answer:

two sevenths

Step-by-step explanation:

Solve for x (2x-8) (9x-10)

Answers

Answer

x+3=17

Step-by-step explanation:

Answer: 18x2 -92x+ 80

Step-by-step explanation:

answer pls hurry need this asap

Answers

The equation is y = -6x - 8

Answer:

y=-6x-8

Step-by-step explanation:

well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6

Please Help ASAP IT'S DUE TODAY!!

Answers

140 ÷ 20 = 7

7 × 15 = 105

24

6 1/2

The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?

2 units
6 units
Square root of 12 units
Square root of 20 units

Answers

Answer:

its 6 units

Step-by-step explanation:

Answer:

Square root of 20

I really hope i'm right sorry in advanced if i'm not

Which choice represents the expression below as a single exponential
expression?
7^3•7^6

Answers

If you are adding them together, the answer would be 7^9

If you are solving the problem, the answer would be 40,353,607

Given 1 in =2.54 cm , how many centimeters are in a foot ?

Answers

Answer:

30.48

Step-by-step explanation:

Look up foot to centimeter  :)

Answer:

30.48

Step-by-step explanation:

You take 2.54 and multiply it by the number of inches in a foot- 12.

Which investment data is best modeled by an exponential function?

Answers

Answer:

Answer is C.

Step-by-step explanation:

Please like and mark brainliest, thanks :)

Exponential functions are functions that increases geometrically. The correct graph that model the investment is the Graph C

Exponential graph

Exponential functions are functions that increases geometrically. The standard exponential function is expressed as  y = ab^x

The correct graph must represents a curve that increases steadily. From the given graph, the correct graph that model the investment is the Graph C

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what is an equation in slope-intercept form of the line that passes through (6,10) and is parallel to the graph of y=1/3x-1 ?

Answers

the answer is: y=1/3x+8
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