Determine whether the table of values below represents a linear function. If it represents a linear function, write the function. If it does not represent a linear function, explain why not.

Determine Whether The Table Of Values Below Represents A Linear Function. If It Represents A Linear Function,

Answers

Answer 1

Answer:

The equation of a linear function is:

[tex]y = 2x+4[/tex]

Step-by-step explanation:

Given the table

x                    y

-10               -16

-3                 -2

1                    6

2                   8

Determining the slope between the points (-10, -16), (-3, -2)

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

[tex]\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]

[tex]m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}[/tex]

[tex]m=2[/tex]

Determining the slope between the points (-3, -2), (1, 6)

[tex]m=\frac{6-\left(-2\right)}{1-\left(-3\right)}[/tex]

[tex]m=2[/tex]

Determining the slope between the points (1, 6),(2, 8)

[tex]m=\frac{8-6}{2-1}[/tex]

[tex]m = 2[/tex]

As the slope between the points is the same. Thus, the table represents the linear function.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 2 and any point let say (1, 6)

[tex]y - 6 = 2(x-1)[/tex]

[tex]y-6 = 2x-2[/tex]

[tex]y = 2x-2+6[/tex]

[tex]y = 2x+4[/tex]

Therefore, the equation of a linear function is:

[tex]y = 2x+4[/tex]

Related Questions

please help
Greater than
Less than
or Equal to

Answers

I think equally tooo

1
6
the fourths and sixths are
1
7
In this picture of
4
subdivided further.
What do you notice, with these new subdivisions?

Answers

I think it’a nothing, do you have a bone of the above
Your answer will be 26

Harley was eating pizza and had already eaten six pieces before his sister, Samantha, got home. Samantha was worried that she was not going to get a fair share of the pizza and wanted to know how many pieces were in the pizza originally. Harley told her, "I have only eaten 3/8 of the pizza. How many slices where in the pizza when it was whole

Answers

Answer:

16 pieces of pizza when the pizza was whole.

Step-by-step explanation:

You know that 6 pieces are equal to 3/8 of the pizza.

Let x represent the total number of pieces and write an equation:

3

-- times x = 6

8

Multiply each side of the equation by 8:

8 times 3

            -- x = 8 times 6

            8

3x = 48

Divide each side of the equation by 3:

3x     48

---  =  ---

3        3

x = 16

Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.​

Answers

Answer:

24,12

Step-by-step explanation:

suppose,

x+y=36

x=2y

2y+y=36

y=12

x=24

5 points
Cyndi has $55. Her sister has $115. Cyndi saves $10 per week. Her sister saves $6 per week. How many weeks will it
take for Cyndi and her sister to have the same amount of money? Write an equation and solve.

Answers

Answer: It will take 15 weeks for Cyndi and her sister to have the same amount of money.

Step-by-step explanation:

Given: Cyndi has $55. Her sister has $115.

Cyndi saves $10 per week. Her sister saves $6 per week.

Let x= Number of weeks.

Total amount of money Cyndi has = 55+10x            (i)

Total amount of money sister has = 115+6x              (ii)

From (i) and (ii) , we get

[tex]55+10x=115+6x\\\\\Rightarrow\ 10x-6x=115-55\\\\\Rightarrow\ 4x=60\\\\\Rightarrow\ x=\dfrac{60}{4}\\\\\Rightarrow\ x=15[/tex]

Hence, it will take 15 weeks for Cyndi and her sister to have the same amount of money.

If f(x) = x^5 - 1, g(x) = 5x, and h(x) = 2x, which expression is
O 2(5(95-1))
O 2(593– 1)
O 5((2-9)- 1)2
O (5(2 9)5-1

please hurry ! will mark as brainly

Answers

The answer is 5(2-9)-1)2

PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!

Answers

dark blue is the answer

(3,1) is the answer

Rewrite the equation C = 2nr to show the expression that can be used to find the value of r.

Answers

The process is:

C = 2nr

2nr = c

r (2n) = c

[tex]r = \frac{c}{2n} [/tex]

That's the answer☝️☝️☝️☝️

or maybe this one

r = 2n + c

sorry, I'm unsure, it has been too long since I studied that...

Answer:

C = 2nr

you divide by 2n both sides

that means C/2n = 2nr/2n

after that you simplify then it will be C/2n = r

r = C/2n

Use the given information to prove that triangle ABC is similar to DEC

Answers

Answer:

sdfghj

Step-by-step explanation:


Dan eats of a pizza.
2
Rachel eats another of the pizza.
What fraction of the pizza was eaten?

Answers

the answer is 3/5 on slime

3x + 2 = 11 what is x?

Answers

Answer:

x = 3

Step-by-step explanation:

3x + 2 = 11

      -2     -2

3x = 9

÷3    ÷3

x = 3

Answer:

x=3

Step-by-step explanation:

3x+2=11

3x=11-2

3x=9

x=9/3

x=3

(x - 4)(2x - 1)(3x - 2) = 0


What is the product of all values of x that satisfy the equation above?

Answers

Answer:

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0

, the entire expression will be equal to  

0

.

2

x

1

=

0

3

x

+

2

=

0

Set the first factor equal to  

0

and solve.

Tap for more steps...

x

=

1

2

Set the next factor equal to  

0

and solve.

Tap for more steps...

x

=

2

3

The final solution is all the values that make  

(

2

x

1

)

(

3

x

+

2

)

=

0

true.

x

=

1

2

,

2

3

The result can be shown in multiple forms.

Exact Form:

x

=

1

2

,

2

3

Decimal Form:

x

=

0.5

,

0.

¯

6

The product of all values of {x} that satisfy the equation →

(x - 4)(2x - 1)(3x - 2) is 4/3.

What is algebraic expression?

An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -

2x + 3y + z

4x + 5

Given is the algebraic expression as -

(x - 4)(2x - 1)(3x - 2)

The given expression is -

(x - 4)(2x - 1)(3x - 2) = 0

We can write -

(x - 4) = 0   or   (2x - 1) = 0   or   (3x - 2) = 0

x = 4   or   x = 1/2   or   x = 2/3

The product of all values of {x} that satisfy the equation above is -

4 x 1/2 x 2/3

4/3

Therefore, the product of all values of {x} that satisfy the equation →

(x - 4)(2x - 1)(3x - 2) is 4/3.

To solve more questions on simplifying expressions , visit the link below

https://brainly.com/question/403991

#SPJ2

_____ compare one quantity to 100.

A. Factors
B. Variables
C. Percents
D. Interest rates

Answers

Answer:

c

Step-by-step explanation:

Find DE
13x-37
2x+13

Answers

Answer:

DE = 27

Step-by-step explanation:

From the picture attached,

Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.

By the mid-segment theorem,

A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.

DC = [tex]\frac{1}{2}\text{AB}[/tex]

(2x + 13) = [tex]\frac{1}{2}(13x-37)[/tex]

2(2x + 13) = (13x - 37)

4x + 26 = 13x - 37

13x - 4x = 26 + 37

9x = 63

x = 7

DE = 2x + 13

     = 2(7) + 13

     = 14 + 13

     = 27

what is 29503.488rounded two decimal places​

Answers

Answer:29503.49

Step-by-step explanation:

Answer:

29503.49

Step-by-step explanation:

since the number in the thousandths place is greater than four, you round the number in the hundredths place up to the number that would come after that. In this case, 8 rounds up to 9

help me answer this please!!! i will mark you brainliest

Answers

Answer:

363 ft.

Step-by-step explanation:

To calculate the base side which is b we use the trigonometric identity called cosine.

[tex]cos \theta=\frac{base}{hypotenuse} \\\\cos25 = \frac{b}{400}\\\\b=400*cos 25\\b=400*0.906\\b=362.5\ ft[/tex]

Since we the answer to the nearest whole number it would be b = 363 ft.

En una panadería se elaboraron 140 panes diarios, el 25% son conchas, 10% cortadillos, 40% donas y 25% bolillos. Cada pieza de pan tiene un costo de $8 pesos. ¿Cuanta ganancia se obtuvo en la venta de donas?, ¿Y cuanta ganancia se obtuvo en la venta de bolillos ?

Answers

Answer:

Se obtuvo $ 448 de ganancia por la venta de donas.

Se obtuvo $ 280 de ganancia por la venta de bolillos.

Step-by-step explanation:

1) ¿Cuanta ganancia se obtuvo en la venta de donas?

La ganancia es el producto del porcentaje producido de donas, expresado como razón, el precio unitario de la dona y el total producido de panes. Es decir:

[tex]C = \frac{40\,donas}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{dona} \right)[/tex]

[tex]C = 448\,USD[/tex]

Se obtuvo $ 448 de ganancia por la venta de donas.

2) ¿Cuanta ganancia se obtuvo en la venta de bolillos?

La ganancia es el producto del porcentaje producido de bolillos, expresado como razón, el precio unitario del bolillo y el total producido de panes. Es decir:

[tex]C = \frac{25\,bolillos}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{bolillo}\right)[/tex]

[tex]C = 280\,USD[/tex]

Se obtuvo $ 280 de ganancia por la venta de bolillos.

In this exercise we have to use the knowledge of finance to calculate the profit.

1) $ 448 profit was made from donut sales.

2) A profit of $ 280 was obtained from the sale of cupcake.

1)The profit is the product of the percentage produced of donuts, expressed as a ratio, the unit price of the donut and the total produced of breads. That is to say:

[tex]C= (\frac{40}{100} )*(140)*(8)= 448 USD[/tex]

$ 448 profit was made from donut sales.

2) The profit is the product of the percentage of cupcake produced, expressed as a ratio, the unit price of the cupcake and the total amount of bread produced. That is to say:

[tex]C= (\frac{25}{100}) *(140)*(8)= 280 USD[/tex]

A profit of $ 280 was obtained from the sale of cupcake.

See more about finances at brainly.com/question/16520540

please show work
a car travels 100 miles in 2 hours (with a constant speed). how much time will it take traveling 275 miles

Answers

Answer:

5.5 hours (If rounded, then 6)

Step-by-step explanation:

If you divide 100 by 2, it would be 50. So then you would have to divide 275 by 50, which will get you your time. Which is 5.5 hours.

Based on the given figure, determine the angles that show congruent alternate exterior angles

Answers

Answer:

Angle 1 and angle 8

Angle 2 and angle 7

Step-by-step explanation:

Alternate exterior angles are angles positioned alternating each other along the transversal, where both angles are found outside the two parallel lines cut across by the transversal.

Thus from the diagram given, the following are alternate exterior angles that are congruent:

Angle 1 and angle 8

Angle 2 and angle 7

2. A recipe includes 8 cups of flour and
į cup of sugar. Write the ratio of the
amount of flour to the amount of
sugar as a fraction in simplest form.

Answers

Answer:

0.25:2

Step-by-step explanation:

Use the diagram of the volcanic island for problems 16-17
16.Use a negative integer to represent the​ depth, in​ feet, of the sea floor.
17.The weight of the volcano depresses the sea floor another 24,300 feet down. What is the total height of the​ volcano?

please help!!

Answers

Answer:

28,000 Ft

Step-by-step explanation:

Answer: 16 is -15700  and 17 28,000

Step-by-step explanation:

Select the correct answer.


Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?

A.
point U
B.
point V
C.
point W
D.
point X

Answers

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Find the measure of each angle indicated. HELPPP PLEASE

Answers

Answer:

2

Step-by-step explanation:

Answer:

they equal 360 so add all and minus that by 360 like for example its 160 total minus 360-160

Step-by-step explanation:

The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?

Answers

Answer:

150

Step-by-step explanation:

To figure out how far it turns in one hour divide 360 and 24= 15, now to find out how much it turns in 10 hours multiply 10x15=150

Someone help me pls :/ asap :(

Answers

Answer: 6, -1

Step-by-step explanation:

1. Look at both of the lines. (Blue and purple)

2. Which dot connects to both lines? (The dot which is green)

3. Since they’re together, that’s the answer.

4. Find the coordinates.

5. Go to “0” and go left until you hit the green dot area. (6 as X axis)

6. Go down to the green dot to find the Y coordinate. (-1 as Y axis)

7. You got the answer (6, -1) !

PLEASE HELP FIRST ANSWER GETS BRAINLIEST. is this a plant cell or animal cell?​

Answers

Answer:

I am pretty sure that is a plant cell

Step-by-step explanation:

What factor would you need to multiply(3x – 1) by to get922 - 12
ОА 3
B.
2
3x + 1
0
32 - 1

Answers

Answer:

32 - 1

Step-by-step explanation:

due in 30 min! Order the Angles from LEAST TO GREATEST
B, C, A


A, C, B


A, B, C


B, A, C


C, B, A


C, A, B

Answers

Answer:

Pretty sure it's C, A, B

Step-by-step explanation:

Find the coordinates of the image of the point (3, 4) after it has been rotated by
180 degrees

Answers

Answer:

(-3,-4)

Step-by-step explanation:

Flip the coordinate across the graph since it is 180 degrees. (x,y) becomes

(-x,-y)

An isotope of iodine has a mass of 134 amu. How many neutrons does the
isotope contain?
A. 67
B.153
C. 81
D. 74

Answers

Answer:

The correct option is C: the isotope of iodine contains 81 neutrons.

Step-by-step explanation:

The mass (A) of the iodine isotope is given by:

[tex]A = Z + N[/tex]

Where:

Z: is the number of protons

N: is the number of neutrons

For iodine Z= 53, so if A = 134 the number of neutrons is:

[tex] N = A - Z = 134 - 53 = 81 [/tex]

Therefore, the correct option is C. The isotope of iodine contains 81 neutrons.

I hope it helps you!

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