Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function?

It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.
It is a nonlinear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are not on a straight line.
It is a linear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are on a straight line.
It is a nonlinear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are not on a straight line.

Answers

Answer 1

Answer:

It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Step-by-step explanation:

(0,-3) goes on the straight line perfectly

(1, −1) goes on the straight line perfectly

(2, 1) goes on the straight line perfectly

this means that it is a linear function due to all the points being on the line

hope this helps!

Answer 2

The given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

How to solve this problem?

Given function y = 2x − 3.

Clearly, it is a straight line.

At x = 0, y = 2*0 - 3 = 0 - 3 = - 3

At x = 1, y = 2*1 - 3 = 2 - 3 = - 1

At x = 2, y = 2*2 - 3 = 4 - 3 = 1

So, the given straight line passes through the points (0, -3),  (1, -1), and (2, 1). Then the given function is a linear function.

Therefore, we can conclude that the given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line. So, the first option is correct.

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Related Questions

Kristy rides 6 miles on her bike in 40 mins. Jax rides his bike 4 miles in 30 mins. Drag the tiles to complete the ratio tables. Tiles may be used once, more than once, or not at all

Answers

Answer:

12

Step-by-step explanation:

Answer:

Jax 4,8,12,16,20

And the last box is 60

Step-by-step explanation:

When 1 is added to one-half of number x, the result is 3. What is the value of x?
A) 1
B) 3
C) 4
D) 6
E) 8
And why?

Answers

Answer:

C) 4

Step-by-step explanation:

1 + x/2 = 3

x/2 = 2

x = 4

The value of x is 4.

Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.

Answer: C) 4

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Answers

A speed rate….=constant of proportionality

A number, k……=unit rate

A ratio…………….=slope


Answer:

Step-by-step explanation:

A speed rate = constant of proportionality

A number, k = unit rate

A ratio = slope

A pair of shoes is on sale for $66.00. This is 75% of the original price. What was the original price?

Answers

Answer:

$88.00

Step-by-step explanation:

66=3/4x

66/.75=66*4/3=88

[tex](2/3)^{3}[/tex]

Answers

Answer:

[tex]\frac{8}{27}[/tex]

Step-by-step explanation:

[tex](\frac{2}{3} )^3 = \frac{2^3}{3^3} = \frac{2 \times 2 \times 2}{3 \times 3 \times 3} = \frac{8}{27}[/tex]

Help PleSssssssssssssssssssssssssssssssszsss

Answers

Answer:

I think the answer is 5 because on the top it says 5 miles is about 8km but I'm not positive

Help Pls
Its a math question, see attachments

Answers

Answer:

1) A) 25%

2) B) 16%

3) A) 93%

Step-by-step explanation:

1)

0.25 = 25%

2)

More than 3 means, 4 and 5

0.12 + 0.04 = 0.16 = 16%

3)

x ≥ 1

So that means 1+ days (everything except 0)

0.25 + 0.18 + 0.34 + 0.12 + 0.04

0.93 = 93%

what three terms in geometry are undefined terms

Answers

Answer:

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined.

Step-by-step explanation:

hope i helped plz mark me brainlest;(

Answer:

point, line and plane.

Step-by-step explanation:

all other terms in Geometry can be defined.

What is the area in square feet of the ceilling​

Answers

That would be a 120 Square Feet.

Use the length of one side of the ceiling, which is 12, and then use the other side that is 10. The ten feet comes from the floor. think of it in 2-Dimensional

21
х
15
X
(Round to the nearest tenth)

Answers

Answer:

that would be 6

x = 6

Step-by-step explanation:

What is the surface area of this square pyramid?

Answers

Answer:

336 m squared

Step-by-step explanation:

To do this we can first find the area of one face of the prism and multiply it by all the other triangular faces

(4*12)*4=192

then can find the area of the square underneath

12*12=144

then add them together

192+144=226

50 - (14 + 12 +2(5) + 2(2) + 3)

Answers

Answer:

50 - (14 + 12 +2(5) + 2(2) + 3)

solve the brackets first

50 - (14 + 12 + 10 + 4 + 3)

50 - (14 + 12 +2(5) + 2(2) + 3)

50- 43

7

Write an explicit formula for an, the n^th term of the sequence 22, 20, 18, ....

Answers

Answer:

 [tex]a_n=a+(n-1)d[/tex]

Step-by-step explanation:

The given sequence is 22, 20, 18, ...

We need to find the explicit formula for an.

First term is 22

Second term = 20

Third term = 18

We can write the formula as :

[tex]a_n=a+(n-1)d[/tex]

Where

a is 22

d is common difference = 20-22 = -2

Forth term will be :

[tex]a_4=22+(4-1)(-2)\\\\=22-6\\\\=16[/tex]

Hence, the formula is [tex]a_n=a+(n-1)d[/tex].


You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

The probability for rolling an odd number is 50% or  [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]

The probability for rolling two odd numbers in a row is

[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]

So, the probability of rolling an odd number twice is 25% or  [tex]\frac{1}{4}[/tex].

Your friend has x blueberries. You have 19 blueberries. You and your friend have a total of 48 blueberries. Which equation can you use to find x?

Answers

Answer:

48-19=x

Step-by-step explanation:

if you subtract those you get 29

which of the following is equivalent to 2:1​

Answers

Answer:

use m a t h w a y

Step-by-step explanation:

put it all together and they will give you opitions

3. State if each statement is correct. If it is not correct, then fix the mistake.

For three problems explanation and work needed

SOON ASP!!!! please.

Answers

Answer:

All are incorrect

Step-by-step explanation:

Required

Determine which is correct or not

[tex](a)\ 2x * 2x = 4x[/tex]

This is incorrect because:

[tex]2x * 2x = 2 * 2 * x*x[/tex]

[tex]2x * 2x = 4x^2[/tex] ---- fixed

[tex](b)\ 3x^3 * 3x^3 = 9x^9[/tex]

This is incorrect because:

[tex]3x^3 * 3x^3 = 3 * 3 * x^3 * x^3[/tex]

[tex]3x^3 * 3x^3 = 9x^(3+3)[/tex]

[tex]3x^3 * 3x^3 = 9x^6[/tex] ---- fixed

[tex](c)\ 4x(4x + 5) =8x + 5[/tex]

This is incorrect because:

[tex]4x(4x + 5) =4x * 4x + 4x * 5[/tex]

[tex]4x(4x + 5) =16x^2 + 20x[/tex] ---- fixed

(x^2)+8x+12=0

i need help with this one

Answers

Answer:

x1=-6, x2=-2

Step-by-step explanation:

Answer:

this is the answer hope it helps

I need help if you get it right I will mark you as BRAINLEST

Answers

Answer:

C

Step-by-step explanation:

A DVD player costs a store $185 to purchase from the manufacturer. They mark the price of the DVD player up by 20% for profit. How much do they charge for the DVD player?

Answers

Answer:

$222

Step-by-step explanation:

$185 x 1.2 = $222

Answer:

222

Step-by-step explanation:

Hi! So marking up means to raise the price or increase it.

185 is the whole, a whole is 100

and we need to raise it by 20% so add these two together to get 120%, turn this into a decimal  is 1.2, now to find and increase we multiply it by the original price.

1.2 x 185 = 222

Very sorry if it is wrong.

the volume of the cereal box is 192 and the volume of the shipping box is 51,840. how many cereal boxes can fit in the shipping box?​

Answers

Answer:

270

Step-by-step explanation:

51840/192= 270

Answer:270 i think

hope thatm helps

Each student in Mr.Carey’s class donated 15$ to a charity. There are 24 students in the class which expression could have been used to calculate the total amount donated?

Answers

$15 x 24 = $360
Hope this helps

plzzzz help meeeeeeeeeeee

Answers

It is the 2nd one you’re welcome

Tiffany catches a fish thats weighs 0.7 lbs. Frank catches a fish that weighs 0.6 times as much as tiffanys fish. How many pounds does Franks fish weigh? Explain how you got your answer using the grid.

Answers

Answer:

Franks fish weighs .42 lbs

Step-by-step explanation:

.7 * .6 = .42

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Answers

58x9= 522
26 - 522 = -496

Answer:

-496

Step-by-step explanation:

it's right :)

Write the quadratic equation in sandard form and then choose the value of "b."
(2x-1)(x+5)=0

Answers

So to get into the form you need to multiply both using foil. First inside outside last. So 2x • x = 2x^2 + -1 • x + 5 • 2x + -1 • 5
= 2x^2 -x+10x -5
= 2x^2 +9x -5
And the b value would be 9 since
Ax^2 +bx + c

Angela bought two pairs of shoes for a total of $138$ The difference in the price of shoes was $42. How much was the more expensive pair of shoes? Use systems of equations to solve. You must use substitution to solve

Answers

Answer:

$90

Step-by-step explanation:

Variable x = Less Expensive Shoe

Variable y = More Expensive Shoe

Set up equations:

x + y = 138

x + 42 = y

The problem says to use substitution to solve, meaning we must substitute one variable for a different value. I will substitute variable y in the first equation for x + 42 as this equals y in the second equation.

x + x + 42 = 138

Combine like terms

2x + 42 = 138

Subtract both sides by 42 to isolate variable x

2x = 96

Divide both sides by 2 to isolate variable x

x = 48

Substitute variable x for 48 and solve for y. I will use the second equation for this.

48 + 42 = y

Combine like terms

90 = y

I defined y as the more expensive pair of shoes. Since the problem only asks for the price of the more expensive shoes, the answer is $90.

Can someone please help me :(

Answers

Answer:

3 ^7

Step-by-step explanation:

7 goes in the box

you could do 5 + 2 and that is 7

Answer:

pretty sure you're supposed to put 7 in the box bc when multiplying numbers with exponents you add the exponents

Step-by-step explanation:

sorry if I'm mistaken

Find tan 0.
(Marking brainliest if correct)

8/17
15/17
15/8
8/15

Answers

Answer:

15/8

Step-by-step explanation:

Assuming you mean tan theta

Tan(theta) = opposite/adjacent

We know the adjacent side is 8 so the bottom of the fraction must also be 8

C: 15/8 is the only option that fits this criteria

The value of tangent of the angle θ, i.e., tan θ = 15/8.

Hence the correct option is c.

Given is a right triangle, with base = 8 units and the hypotenuse is 17 units,

The angle θ which is between the base and the hypotenuse,

We need to find the value of tangent of the angle θ, i.e., tan θ.

To find the value of tangent (tan) of the angle θ, we can use the definition of tangent in a right triangle.

The tangent of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the base of the triangle is given as 8 units, and the hypotenuse is given as 17 units.

To find the length of the side opposite θ, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we can calculate the length of the side opposite θ:

(side opposite θ)² + (base)² = (hypotenuse)²

(side opposite θ)² + 8² = 17²

(side opposite θ)² + 64 = 289

(side opposite θ)² = 289 - 64

(side opposite θ)² = 225

side opposite θ = √225

side opposite θ = 15 units

Now that we have the lengths of the side opposite θ and the side adjacent to θ, we can calculate the tangent of the angle θ:

tan θ = (side opposite θ) / (base)

tan θ = 15 / 8

Therefore, the value of tangent (tan) of the angle θ is 15/8.

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a laptop has listed a price of $807.99 before tax if the sales tax rate is 8.75% find the total cost of the laptop with the sales tax include round your answer to the nearest cent as necessary​

Answers

Answer:

Step-by-step explanation:

70.699125

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