Write the linear equation that gives the rule for this table.
x f(x)
1 –47
2 –45
3 –43
4 –41

Answers

Answer 1

Answer:

The linear equation that gives the rule of the table is f(x) = x + 25

The linear equation can be represented in a slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Using the table let get 2 points

(2, 27)(3, 28)

let find the slope

m = 28 - 27 / 3 -2 = 1

let's find b using (2, 27)

27 = 2 + b

b = 25

Therefore,

y = x + 25

f(x) = x + 25

Step-by-step explanation:


Related Questions

A gopher is in a hole that is 6 1/4 in. below the surface of the ground. It then digs 7 1/2 in. deeper. What is the gopher’s new elevation relative to the surface of the ground? Show your work.

Answers

Answer: 13 3/4

Step-by-step explanation:

The gopher’s new elevation relative to the surface of the ground will be

[tex]13 \frac{1}{4}[/tex] inches.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

A gopher is in a hole that is [tex]6 \frac{1}{4}[/tex] in. below the surface of the ground.

And, Then digs [tex]7 \frac{1}{2}[/tex]  in. deeper.

Now,

The gopher’s new elevation relative to the surface of the ground will be calculated as;

⇒ [tex]6 \frac{1}{4} + 7 \frac{1}{2}[/tex]

⇒ 25/4 + 15/2

Make denominators same as;

⇒ 25/4 + 30/4

⇒ (25 + 30) / 4

⇒ 55 / 4

⇒ [tex]13 \frac{1}{4}[/tex] inches.

Thus, The gopher’s new elevation relative to the surface of the ground will be [tex]13 \frac{1}{4}[/tex] inches.

Learn more about the addition visit:

https://brainly.com/question/24536701

#SPJ2

one of the acute angles of a right angle triangle is 35 degree find the measure of the acute angle.​

Answers

Answer:

55°

Step-by-step explanation:

One triangle = 180° Therefore 90°+35°+ Unknown acute angle = 180°

125°+ Unknown acute angle = 180°

Unknown acute angle = 180°-125°

Unknown acute angle =55°

Answer:

55°

Step-by-step explanation:

One triangle 180° 90+35 =125-180=55°

please answer fully /////////////

Answers

Answer: 6

Step-by-step explanation:

PEMDAS. 3 * {(10+35) / 9 - 3}             10+35=45  45/9= 5    5-3=2     2*3= 6



2. What is the sum of 5t + 9 - 3t + 4)?

Answers

Step-by-step explanation:

5t + 9 - 3t + 4

2t + 13

hope it's helpful

5t + 9 -3t + 4

Answer: 2t + 13

a. Does it take more cups or gallons to measure the amount of water in a large
a
pot? Explain.

Answers

Answer:

More cups

Step-by-step explanation:

Cups are a smaller measuring unit than gallons are. Therefore it would take more cups than gallons to fill a pot.

Find the geometric mean between 18 and 7. Write your answer in radical form.



• 3 square root of 14


• 126



• 9 square root of 7



• 128

Answers

Answer:

option D is correct answer

PLEASE HELP 100 POINTS

Answers

Answer:

I think its x = 8

Step-by-step explanation:

There are 8 white long rectangles so I would think x = 8

but there are 9 little white squares so it could be 8 + 9  but

Answer:

x= 6/7

Step-by-step explanation:

becuase 7x -3x -2 + 1 = 8-3-3x + x

is simplified to 5x  -1 = 5-2x

+2 on both sides

7x-1 =5

+ 1 on both sides

7x=6

divde both by 7

x= 6/7

Use the graph below to find the slope of the line that goes through the points
|(1, 2) and (6,6).

Answers

Answer:

4/5

Step-by-step explanation:

m=y2-y1/x2-x1

=6-2/6-1

4/5

cite a real life situation that describes the concept of direct and inverse variation. create your own word problem and answer it. present your answer with table of values, graph and equation

A need a appropriate answer, thanks...​

Answers

Step-by-step explanation:

An example of direct variation would be the relationship of distance with time when speed is constant.

d = st

Let's assume you travel at the speed of 60 mph. The distance at 0, 0.5, 1, 2 hours would be 0, 30, 60, 120 miles.

d = 60t

This is a linear relationship and produces a graph of line.

See the graph.

--------------------

An example of inverse variation would be the time to complete the same work as number of workers increase.

t = w/p, where w is work (constant), p- number of workers

Assume 5 workers complete wok in 20 days, 10 workers do same in 10 days, 20 workers do in 5 days.

t = 100/p

This relationship produces a curved line.

See the graph.

PLEASE HELP MY SISTER NEEDS IT OMG [Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• 1.5 above sea level
• absolute value of –4.5
• –2
• opposite of 4
• absolute value of 1
• 2.5 below sea level
• greatest common factor of 8 and 12
• –(–3)
• -3 1/2
• opposite of –5

Answers

Answer:

The answer for this question would be 1.5 goes to the top of 1. Absoute value of -4.5 goes to the bottem of -4 . -2 goes on the -2 point . oppsite of 4 is -4.

Absoulte value of 1 is 1. 2.5 below sea level is under 2. Greatest common factor of 8 and 12 is 4. -(-3) is 3. Opposite of -5 is 5.

Step-by-step explanation:

Answer:

points:

1.5

4.5

-2

-4

1

-2.5

4

3

-3.5

5

Step-by-step explanation:

At registration for the first semester, the 1,500 students at Abraham Lincoln High School selected the primary mode of
transportation each planned to use to get to school during the semester. The circle graph below shows the distribution of
students who selected the various modes of transportation
Modes of Transportation Selected by
Abraham Lincoln High School Students
driving
for or riding
in a student-
driven car pool
25%
driving alone
30%
riding
with parent
10%
walking
10%
riding in a
school bus
Gina wants to duplicate this circle graph. Which of the following is closest to the measure of the central angle of the
"walking" sector?

Answers

Using proportions, it is found that the central angle of the walking sector is of 36º.

This question can be solved by proportions, using a rule of three.The angle corresponding to 100% = 1 is of 360º, while we want to find the angle corresponding to the walking sector, which is of 10% of the circle.

Hence, the rule of three is:

1 - 360º

0.1 - x

Applying cross multiplication:

[tex]x = 360(0.1) = 36[/tex]

The central angle of the walking sector is of 36º.

A similar problem is given at https://brainly.com/question/24372153

Order from least to greatest -0.4, -1/5, and -0.65

Answers

least to greatest:
-0.65, -0.4, -1/5.

Tell me if want step by step!!

Hope this helped. :(

What is the 5th equivalent fraction to
1
8
?

Answers

Answer:

5/40

Step-by-step explanation:

1/8 = 2/16 = 3/24 = 4/32 = 5/40

you just need to add 1 to the numerator(number on top) and 8 to the denominator(number at bottom). :)

eight times a number

Answers

Answer:

Equals the same number 8 times itself, this is the equation: 8X.

Step-by-step explanation:

Answer:

Look down.

Step-by-step explanation:

8x1=8

8x2=16

8x3=24

8x4=32

8x5=40

8x6=48

8x7=56

8x8=64

8x9=72

8x10=80

I dont know if this is what you were asking for but its all yours now!

Choose the correct answer to 97 ÷ 4.
24 R1
24
23 R5
24 R3

Answers

Answer:

24 R1

Step-by-step explanation:

   

24R1 is the answer. H

For what value of n does (StartFraction 1 Over 36 EndFraction) Superscript n Baseline = 316?

Answers

Answer:

I think that the answer is 50

Answer:

-3/2

Step-by-step explanation:

edge

Suppose Martina places $9000 in an account that pays 18% interest compounded each year.
Assume that no withdrawals are made from the account.
Find the amount in the account at the end of 1 year and 2 years.

Answers

Answer: 1232

Step by Step: I just answered this



A 4-digit number is made up of different odd digits.
Write the greatest possible number that it can be?



Answers

Answer:

9753

Step-by-step explanation:

Pls Help I Need This Answer ASAP ​

Answers

Answer:

h = -2

Step-by-step explanation:

1. Simplify the left hand side: 8h = -16

2. DIvide both sides by 8: h = -16 ÷ 8 = -2

Hope this helps!

Answer:

ℎ = − 1 6 /7

Step-by-step explanation:

Step 1: Combine like terms.

ℎ − 8 ℎ + 1 9 ℎ − 5 ℎ = − 1 6

7 ℎ = − 1 6

Step 2: Divide both sides of the equation by the same term.

7 ℎ = − 1 6

7ℎ/7=−16/7

Step 3: Simplify

ℎ=−16/ 7 = Answer

Is this statement true or false? The expression 4x (x2 + 4x + 3) is a polynomial. O True O False​

Answers

Answer:

Step-by-step explanation:

If you remove the brackets you get

4x^2*x^2 + 4x*4x + 3*4x

4x^4 + 16x^2 + 12x

That definitely is a polynomial

In its factored form, one of the factors is a polynomial so the answer is true.

Write a statement that indacates that the triangles in each pair are congruent

Answers

Answer:

The answer would be C

Step-by-step explanation:

Because if you look at the triangles you can where they match up and if you look at the lines you can tell if they match up and C matches that`s how I did it well that`s how I do it when I do math

amara needs to create a special tasting menu at her restaurant. She needs to select 4 dishes from 7 available dishes and put them in a tasty sequence. How many unique ways are there to arrange 4 of the 7 dishes?

Answers

By taking in mind the number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes, we will find that there are 840 unique ways to arrange 4 of the 7 dishes.

We know that if we have a set of N elements, the total number of different combinations of K elements (K ≤ N) out of the N elements is given by:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

In this particular case, we have:

N = number of available dishes = 7K = number that we need to select = 4

Then the number of different combinations is given by:

[tex]C(7, 4) = \frac{7!}{(7 - 4)!*4!} = \frac{7*6*5}{3*2} = 35[/tex]

Now we have 4 dishes selected, but we also need to order them.

For the first dish, there are 4 options.For the second, there are 3 options (as one was already selected).For the third, there are 2 options.For the last one there is only one option.

The number of different arrangements of the dishes is given by the product between the numbers of options above, this gives:

4*3*2*1 = 24

Then the total number of unique ways of arranging 4 of the 7 dishes is:

C = 24*35 = 840

Where we take in mind the possible number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes.

If you want to learn more, you can read:

https://brainly.com/question/9976085

What is the slope of the line that passes through the points (−4,−1) and (18,−2) ?
A. − 3/14
B. 1 /14
C. 22
D. − 1/22

Answers

Answer:

D

Step-by-step explaination:

1.What is m + 5n where m = 1 and n = 5?
A. 26
B. 52
C. 25
D. 62
ANSWER:____

2.What is 5m + 5n where m = 10 and n = -5?
A. 25
B. 26
C 62
D. 52
ANSWER:____

ADD EXPLANATION IF NECESSARY :)​

Answers

Answer:

Answer# 1: A. 26

Answer# 2: A. 25

Step-by-step explanation:

1. What is m + 5n where m = 1 and n = 5?

Substitute 1 for "m" and 5 for "n":

[tex]\sf (1)+5(5)[/tex]

Multiply 5*5 =25

[tex](1)+25[/tex]

Add :

[tex]\sf 26[/tex]

____________________

2. What is 5m + 5n where m = 10 and n = -5?

Substitute 10 for "m" and -5 for "n".

[tex]\sf 5\left(10\right)\:+\:5\left(-5\right)[/tex]

Multiply 5 * 10= 50

[tex]\sf 50+5\left(-5\right)[/tex]

Multiply 5 * -5 = -25

[tex]\sf 50-25[/tex]

Subtract:

[tex]\sf 25[/tex]

___________________________________

Eddie's overtime is figured on a 40-
hour work week. Last week he
worked the following hours:
Monday = 9.7
Tuesday = 8.3
Wednesday = 8
Thursday = 9.1
Friday = 8.6
=
He is paid time and a half for
overtime and makes $14.40 for
regular hours. What is Eddie's gross
pay?

Answers

Answer:

597.6 Dollars

Step-by-step explanation:

Answer:

$655.92

Step-by-step explanation:

Total number of hours worked:

9.7 + 8.3 + 8 + 9.1 + 8.6 = 43.7

Overtime hours:

43.7 - 40 = 3.7

Gross payment:

40*14.4 + 3.7*14.4*1.5 = 655.92

WILL AWARD BRAINLIEST AND 5 STAR
2. Marcus is writing the program for a video game. For one part of the game, he uses the rule
(x, y) ➡️ (x + 8, y – 3) to move points on the screen.
(a) What output does the rule give when the input is (-2, 1)? Show your work.
(b) What output does the rule give when the input is (0, -5)? Show your work.
(c) Is the rule a function? Explain why it is or why it is not.

Answers

(a) -2 + 8, 1 - 3
(6, -2)
(b) 0 + 8, -5 - 3
(8, -8)
(c) Yes, the rule is a function because x will never overlap with x and y will never overlap with y, when graphed it passes the vertical line test.

Answer:

I might be getting somthign comfised but here is what I derived from it.

Step-by-step explanation:

Marcus uses a rule of (x+8, y-3). What will be the output if the input is (-2,1) and (0,-5).

If it is going off of the math functions then the outputs would be simple math -

(6, -2) -2+8 and -3+1; (8, -8) 0+8 and -5-3 [if im doing the correct functions].

The X and Y is what gets me when trying to answer if it is a function or not, I would say it is because the x and y values are given and they are their values are substituted, the actual function is adding the 8 to the X and subtracting the 3 from the Y.

Hope this helps some

geomtry plz help 15 points

Answers

Answer:

m∠O = 41°

Step-by-step explanation:

∠NOM=∠NMO=(4y-15)° (base angles of isos triangle)

7y+2(4y-15)=180 (angle sum of triangle)

  7y+8y-30=180

       15y-30=180

             15y=180+30

                  =210

                y=210÷15

                  =14

Hence, m∠O = (4y-15)°

                      = [4(14)-15]°

                      = (56-15)°

                      = 41°

Find the value for x.

Answers

Answer:

x = 21

Step-by-step explanation:

5x - 12 = 3x + 30

5x - 3x = 30 + 12

2x = 42

x = 21

---------------------

check

5 * 21 - 12 = 3 * 21 + 30

93 = 93

the answer is good

Choose the inequality that represents the following graph ​

Answers

I think its x is less than or equal to 3

5/8 x 3 1/4 using cancellation

Answers

Answer: 65/32

Step-by-step explanation:

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