Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to
find his pay.
Hours
1
1.5
2
2.5
3
Pay
18
23
28
33
38
A. f(x) = 10x + 8
B. f(x) = 15x + 3
O
C. f(x) = 0.5x + 1
D. f(x) = x + 18

Jack Works After School. Each Day He Is Paid A Set Amount, Plus An Hourly Wage. Look At The Table. Choose

Answers

Answer 1

Answer:

A. [tex] f(x) = 10x + 8 [/tex]

Step-by-step explanation:

The equation in slope-intercept form, [tex] f(x) = mx + b [/tex], can be created to be used in finding Jack's pay. We need to find the slope (m) and the y-intercept (b) of the linear function.

Using two points (1, 18), and (1.5, 23), find the slope (m):

Slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 [/tex]

Find b, by substituting x = 1, f(x) = 18, and m = 10 into [tex] f(x) = mx + b [/tex].

[tex] 18 = (10)(1) + b [/tex]

[tex] 18 = 10 + b [/tex]

Subtract 10 from each side

[tex] 18 - 10 = b [/tex]

[tex] 8 = b [/tex]

[tex] b = 8 [/tex]

Substitute m = 10 and b = 8 into [tex] f(x) = mx + b [/tex].

✅Thus, the linear function that can be used to find Jack's pay would be:

[tex] f(x) = 10x + 8 [/tex]


Related Questions

Based on the diagram, which expresses all possible lengths of segment AB?

AB = 25
27 81

Answers

Answer:B

Step-by-step explanation:

27 < AB < 81 expresses all possible lengths of segment AB

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)

So AC+BC>AB

27+54>AB

81>AB

AB<81

27+AB>54

AB>54-27

AB>27

54+AB>27

AB>-27

Hence, 27 < AB < 81 expresses all possible lengths of segment AB

To learn more on Inequalities click:

https://brainly.com/question/28823603

#SPJ7

Based on the diagram, which expresses all possible lengths of segment AB?

AB = 25

27 < AB < 81

AB = 85

AB< 27 or AB > 81

Let StartFraction cosine (2 x) Over cosine (x) + sine (x) EndFraction = 0 where 0° ≤ x ≤ 180°. What are the possible values for x?

a- 45 only
b- 135 only
c- 45 or 225
d- 135 or 315

*NEED HELP ASAP

Answers

Answer:

The correct option is;

a- 45° only

Step-by-step explanation:

The given equation can be presented as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]

We have that cos(2·x) = cos²(x) - sin²(x)

Also, we have, by the difference of two squares, the following relation;

cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))

Therefore, the given equation can be written as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]

Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;

[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]

From cos(x) - sin(x) = 0, we have;

Adding sin(x) to both sides of the equation

cos(x) - sin(x) + sin(x) = 0 + sin(x)

cos(x) = sin(x)

Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal

∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°

Answer:

A. 45 only

Step-by-step explanation:

EDGE 2020

A camera is able to capture 3/4 of a picture per second. How long will it take a camera to snap 6 pictures

Answers

It would take 8 seconds. Branliest? :)

I WILL MAKE YOU BRAINIELIST.
what is 37829192976277×2283838328282

Answers

Answer:

8.6395761e+25

Step-by-step explanation:

no

Please help me find the area of this!!! 15 points!!

Answers

Answer:

[tex]A\approx1608.7\text{ yards}^2[/tex]

Step-by-step explanation:

We can use the alternate formula for the area of a triangle:

[tex]A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are the side lengths, and C is the angle between the side lengths.

We know that one side length is 60 and the other is 70.

The angle between them is 50°.

So, substitute 60 for a, 70 for b, and 50° for C. This yields:

[tex]A=\frac{1}{2}(60)(70)\sin(50)[/tex]

Evaluate using a calculator. Make sure you’re in Degrees Mode.

Therefore, the approximate area is:

[tex]A\approx1608.7\text{ yards}^2[/tex]

The temperature one cold morning is -5 °C. By noon, the temperature had increased by 3 degrees and at 4 PM the temperature was zero. The increase from noon to 4 PM was

Answers

Answer:

2°C

Step-by-step explanation:

Morning

-5°C

Noon (+3)

-2°C

4pm (+?)

0°C

Equation I used:

(-5) + (3) + x = 0

I'm assuming you're being taught how to work with negative intervals in algebra? Don't worry, that's why you're practising with temperature. Instead of asking online, try using the progress your teacher taught you. If you have notes, look back at them. Practise makes perfect :)

Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)

Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is
unknown.
13 meters
14 meters
200 meters
208 meters

Answers

Answer:

Your anwser is 14 hopw this helpss

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

the answer is 14 i know this because the person before me said the same thing.

what is 3.78 plus 8.94

Answers

Answer:

The answer is 12.72 hope this helps

Step-by-step explanation:

You'll add them it's just like simple addition but you just have to know where the decimal point will be after adding

3.78

+8.94

12.72

When you are adding you start from the back with back I mean the end so when you add 8 plus 4 it's going to be 12 then you write or type the 2 and then carry the 1 and add it to the 7 which is going to be 8 then you add the 8 to the 9 which is going to be 17 that's why we have the 7 there then you carry 1 and add it to the 3 which is going to be 4 and then 4+8 is going to be;12

That's how we got the 12.72

Hope you understand

Brainlest-Pls help me pls thank you sm In advance

Answers

Answer: 90 divided by 45 equals 2     45+45=90

Step-by-step explanation:

2x+7=3x+4
step by step

Answers

Answer:

3=x or x=3

Step-by-step explanation:

2x+7=3x+4

-2x+2x7=-2x+3x+4

7=x+4

7-4=x+4-4

3=x or x=3

first step is to subtract 3x on both sides of the equation since they both have an x attached to them.

we are left with -x + 7 = 4

then we will subtract 7 from both sides of the equation where we are left with

-x = -3

finally we divide -x on both sides which leaves us with x = 3 as our final answer

What is the equation represented by this line?

ANSWER ASAP GIVING BRAINLEST

Answers

Answer:

the linear equation is y= -4/3x + 2

Answer:

y=-x+2

Step-by-step explanation:

6. You have 220 feet of fencing material to enclose a rectangular area for your pet animals. Let x = the length of the rectangular enclosure. (a) [7 points] Set up the function A(x) that represent the enclosed area. (b) [7 points] What should be the dimensions of the enclosed area? (c) [2 points] What is the maximum area of the enclosed area?

Answers

Answer:

I will start with (c)

(c) What is the maximum area of the enclosed area?

the maximum area of a rectangle is always given by a square figure

since the square has 4 equal sides, each side will be 220 / 4 = 55 ft long

maximum area = 55 x 55 = 3,025 ft²

(b) What should be the dimensions of the enclosed area?

the dimensions would be 55 ft in length by 55 ft in width

(a) Set up the function A(x) that represent the enclosed area.

perimeter of the rectangle = 220

we have 4 equal sides, so

A(x) = x²

It also detects if you are right or wrong

Answers

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According to the table ;

[tex]f(0) = 6[/tex]

Let's check that in which of the equations it happens.

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A )

[tex]y = f(x) = 6x + 4[/tex]

[tex]f(0) = 6(0) + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

Wrong

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B )

[tex]y = f(x) = 4x + 6[/tex]

[tex]f(0) = 4(0) + 6[/tex]

[tex]f(0) = 0 + 6[/tex]

[tex]f(0) = 6[/tex]

Correct.

Thus this option is the correct answer.

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C )

[tex]y = f(x) = 2x + 4[/tex]

[tex]f(0) = 2(0) + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

Wrong

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Combine like terms

7a^2+ 10a - За - 2а2^2

Answers

Answer:

5a^2+7a

Step-by-step explanation:

You combine things based off the variable and exponent. So if  they have the same variable and exponent, you put them together. 7-2=5 and 10-3=7 so your answer is 5a^2+7a

The answer to your question is 5a^2+7a

Choose the correct Triangle Congruence Theorem

Answers

Answer:

ASA

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

The triangles have two congruent angles and one congruent side. This means they are congruent through the AAS theorem. The reason it is not the ASA theorem is that the side is not included, which means it is not in-between the congruent angles.

What is the value of x in the equation One-third x minus two-thirds = negative 18? –56 –52 52 56 Need answer ASAP!!!! Being Timed

Answers

Answer:

Step-by-step explanation:

fhv

4x+5+4x+5+4x+5+4x+5+4x+5 solve for x

Answers

Answer:

3

Step-by-step explanation:

(Proportional Relationships)

At a certain elementary school there are 26 students per
classroom. If y represents the total number of students at
the school and x represents the number of classrooms,
which equation is the best representation?

Select one:

y = 26/x

y = 26x

x = 26y

y = 1/26 x

Answers

Answer: y =26x

Step-by-step explanation:

what is true about the slopes of perpendicular lines

Answers

Slopes of parallel lines are equal.

In which equation does x = 15?
A. 18=-5x-2
B. -9+ 3x = 36
C. 4x + 3 = 15
D. 2x+4 =-36
ОА
OB
D

Answers

To help you with it, plug-in 15 in each equation and see what you get!

Roll a number cube. If the number cube comes up odd, you win the same number of points as the
number on the cube. If the number comes up even, you lose 4 points.
What is the expected number of points per roll?
-0.25
-0.5
0
Oo oo
0.25
0.5

Answers

Answer:

-0.5

Step-by-step explanation:

Sam bought an $85.00 for 40% of the regular price.How much did he pay for the jacket?

Answers

Answer:

he payed 34$ for the jacket

Step-by-step explanation:

kay is making a drink that needs 3 gallons of of juice , how many cups can she make of juice?

Answers

48 cups!! hope this helps!!

What is - ( 2)^3?


Help please

Answers

Answer is -8

-2x2x2:-8

what is the value of this?

Answers

Answer:

4

Step-by-step explanation:

I used desmos

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{-2(7-15)}{4}}\\\\\mathsf{7-15=-8}\\\\\mathsf{\dfrac{-2(-8)}{4}}\\\\\mathsf{-2(-8)=16}\\\\\mathsf{\dfrac{16}{4} = 4}\\\\\\\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\mathsf{\bf{D.\ 4}}}}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Shelila had $4.75 to buy pencils for an art class and each pencil costs 89c. How much pencils will she have?

Answers

Answer:

5 pencils

Step-by-step explanation:

4.75 / 0.89 = 5.33

Since you can't buy 1/3 of a pencil, Shelila can only buy up to 5 pencils

what is the distance between the points with coordinates (-5,5) and (5,-5)? express your answer in simplest radical form

Answers

Answer:

10 spaces in each direction

Step-by-step explanation:

                     5

                      !

-5--------------------!-------------------5

                      !

                      !

                      5

guys if I don't finish this imma get beat please help

Answers

Answer:

The answer is b.) hope this helps!!

Step-by-step explanation:

if you only look at H and H', you can see H' is being translated(slid) down the Y axis and since it is sliding down, it is -4, giving you (x, y-4)

I beg anybody please

Answers

Answer:

if no one answers pic b cuz i got good luck

Step-by-step explanation:

It takes 6 cubes to build a staircase with 3 steps. How many cubes will be needed for 11 steps?

Pls show work

Answers

Answer:

5 more cubes

Step-by-step explanation:

you just keep on adding the cubes. So i am in honors math and the easiest way to do math like this just use paper so start with the number of cubes and the just keep on adding till you get to the number you need in this case that number is 11.

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