Select the slope and y-intercept of the relationship shown in the table

Select The Slope And Y-intercept Of The Relationship Shown In The Table

Answers

Answer 1

Answer:

slope = 0.05, y-intercept = 2,000

Hence, option A is true.

Step-by-step explanation:

x                              y

10, 000                   2,500

20, 000                   3,000

30, 000                    3, 500

Taking two points (10000, 2500) and (20000, 3000) to find the slope between the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{3000-2500}{20000-10000}[/tex]

[tex]m=\frac{1}{20}[/tex]

[tex]m=0.05[/tex]

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where 'm' is the slope and 'b' is the y-intercept

substituting the point (10000, 2500) and m=0.05 in the slope-intercept form

[tex]y=mx+b[/tex]

[tex]2500\:=\:0.05\left(10000\right)+b[/tex]

[tex]500+b=2500[/tex]

[tex]b=2000[/tex]

Thus, the y-intercept is: b=2000

Thus,

slope = 0.05, y-intercept = 2,000

Hence, option A is true.


Related Questions

1/3(9x +45) - x = 6x +4

Answers

1/3(9x+45)-x=6x+4

we can move the numbers on the right and the x's on the left

9x/3+45/3-x=6x+4

3x-x-6x=4-15

-4x=-11

x=11/4

Answer:

x = 11/4

Step-by-step explanation:

thats the answer...........................

Order of Operations with and without variables

Answers

Answer:

9

Step-by-step explanation:

3 (2²) - 2(2) + 1 =

3 (4) - 4 + 1       =

12 - 4 + 1           =

8 + 1                 = 9

evaluate - 31 - 8 + 31

Answers

Answer:

-8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

-31 - 8 + 31

Step 2: Evaluate

Subtract:                    -39 + 31Add:                           -8

In ΔHIJ, h = 40 cm, ∠J=20° and ∠H=93°. Find the length of j, to the nearest centimeter.

Answers

Given:

In ΔHIJ, h = 40 cm, ∠J=20° and ∠H=93°.

To find:

The length of j, to the nearest centimeter.

Solution:

According to Law of sine,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

In ΔHIJ, using law of sine, we get

[tex]\dfrac{j}{\sin J}=\dfrac{h}{\sin H}[/tex]

[tex]\dfrac{j}{\sin (20^\circ)}=\dfrac{40}{\sin (93^\circ)}}[/tex]

[tex]j=\dfrac{40\times \sin (20^\circ)}{\sin (93^\circ)}}[/tex]

On further simplification, we get

[tex]j=\dfrac{40\times 0.34202}{0.99863}[/tex]

[tex]j=\dfrac{13.6808}{0.99863}[/tex]

[tex]j=13.69958[/tex]

Approximate the value to the nearest centimeter.

[tex]j\approx 14[/tex]

Therefore, the length of j is 14 cm.

why do do we need it

Answers

Answer:

why do we need what?

Step-by-step explanation:

Because

Because

Because.

Can someone help me so stressed

29 points
Thanks

Answers

Answer:a square

Step-by-step explanation:a square

What is the following product ? Assume y >= 0 3sqrt(10) * (y ^ 2 * sqrt(4) + sqrt(8y))

Answers

Answer:a

Step-by-step explanation:

Answer:

A on Edgen

Step-by-step explanation:

Correct

Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn does Alaina need to make 5 lb of birdseed mix? Show your work.

Answers

Answer:

2 1/3+5/6+1/6= 3 1/2

Step-by-step explanation:

Change your denominator to 6 and add then reduce if possible

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 1500 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions

Answers

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

[tex]A=(1500-2y)y\\\\A=1500y-2y^2[/tex] .....(3)

For largest area, differentiate above area equation wrt y.

[tex]\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375[/tex]

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

[tex]A =1500(375)-2(375)^2\\A=281250\ m^2[/tex]

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

Enter the simplified form of the complex fraction in the box.

Assume no denominator equals zero.

Answers

Answer: this is the answer

x^2+11x+6/(x+2)(x+5)

Step-by-step explanation:

Answer:

Here is the complete answer key with all correct and incorrect choices shown including this question. Good luck future users.

what is two cubed and then divided by 4?

Answers

Two cubed = 2^3
2 * 2 * 2 = 4 * 2 = 8
8/4 = 2
The answer is 2

Answer:

2

Step-by-step explanation:

2 cubed is 8, then divided by 4 is 2

The two-way table shows the ages of the players on different sOCcer teams.
Team D
3
Total
21
23
14
58
Team C
Team A
4
Team B
8 Years Old
9 Years Old
10 Years Old
Total
4
3
13
3
5
16
4
15
14
Which statement is true?
O The probability that a randomly selected player on TeamA is 8 years old is
O The probability that a randomly selected 8-year-old player is on Team C is
O The probabilíty that a randomly selected player on Team C is 10 years old is
O The probability that a randomly selected 10-year-old player is on Team B is 13
58

Answers

**Answer**
The true statement is: The probability that a randomly selected player on Team C is 10 years old is 5/16

please mark me brainliest, happy holidays :)

HELP ME ON THIS. 10 POINTS

Answers

Answer:

This is sooo easy

Step-by-step explanation:

The answer is B

because It does not go through the Origin

every time they ask if something is proportional

ALWAYS check if its a straight line or if  it go through the origin

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Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?

Answers

Answer:

If the two numbers are x and y, then:

x + y = 8

18 - 2x = 4y - 2.

When we subtract y from both sides in our first equation we get:

x = 8 - y, so:

18 - 2(8 - y) = 4y - 2

18 - 16 + 2y = 4y - 2

2 + 2y = 4y - 2

2y = 4

y = 2

Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.

What is the value of x in the equation 2 (6 x + 4) minus 6 + 2 x = 3 (4 x + 3) + 1?
1
3
4
6

Answers

Answer:

x=4

Step-by-step explanation:

I did the edge quiz pretty sure I got it correct

Answer:

x=4

Step-by-step explanation:

find the number of each kind of atom
2MgO​

Answers

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Answers

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Step-by-step explanation:

The formula for temperature conversion is F=1.8C+32. If the Fahrenhei
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Answers

Answer:

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Step-by-step explanation:

(86-32)/1.8 =30

30 is the answer for Celcius

Triangle DEFDEFD, E, F is similar to triangle PQRPQRP, Q, R. Solve for k.

Answers

you were not him in a relationship that link was with a 1 minute

For each incorrect answer on a test, the teacher changes the total points possible by −4 points. The total number of points possible on a test is 64. If a student has 9 incorrect answers, what will be that student’s score?

Answers

Answer:

-4×9=-36

then 64-36=28

Pete has 4 packs of gum balls. Each pack has 5 gum balls. If Pete gives the same number of gum balls to 6 friends, how many gum balls will each friend get?
2
3
4
5

Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

-9x^2 + 9x^2 - 2x + 3x

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Mark me as brainliest

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If a tree casts a 45-foot shadow at the same time that a 6-foot tall man casts a 7.5-foot shadow, find the height of the tree.

1 ft

36 ft

45 ft

56.25 ft

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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have a fantastic day

a painter painted 3/5 of a portrait in 20 minutes. If she continues working at the same rate, how many portraits will she paint in one hour?

Answers

Answer:

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Step-by-step explanation:

What is the rate of change (Slope) of the cost with respect to the number of miles for the Yellow Cab Company?

Answers

Answer:

The slope would be 2

Step-by-step explanation:

All you do is pick two order pairs: (2,6) and (4,10),  then you do y1 - y2, so 10-6 to get 4 then do x1 - x2, so 4 - 2 which is 2, then you divide 4 by 2 to get 2.

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