5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).
y2 = 5x +2
2x + 4 = 3x - 8
y = 3x - 2
y + x2 = 12
y = x2 + 2x
1
3x + -y = 24

Answers

Answer 1

Answer:

The following are the LINEAR functions.

[tex]2x\:+\:4\:=\:3x\:-\:8[/tex][tex]y = 3x - 2[/tex][tex]1[/tex][tex]3x\:+\:-y\:=\:24[/tex]

Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

[tex]f(x)=mx+b[/tex]

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) [tex]y^2=\:5x\:+2[/tex]

[tex]y^2=\:5x\:+2[/tex]  is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) [tex]2x\:+\:4\:=\:3x\:-\:8[/tex]

[tex]2x\:+\:4\:=\:3x\:-\:8[/tex]

[tex]x=12[/tex]

This is a linear equation is an equation of a straight line, written in one variable.  The only power of the variable is 1

3) [tex]y = 3x - 2[/tex]

[tex]y = 3x - 2[/tex] is a linear function because it is of the form [tex]f(x)=mx+b[/tex] and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) [tex]y\:+\:x^2\:=\:12[/tex]

[tex]y\:+\:x^2\:=\:12[/tex] is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) [tex]y\:=\:x^2\:+\:2x[/tex]

[tex]y\:=\:x^2\:+\:2x[/tex] is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) [tex]1[/tex]

[tex]1[/tex] is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree [tex]0[/tex] or is the [tex]0[/tex] polynomial.

7) [tex]3x\:+\:-y\:=\:24[/tex]

[tex]3x\:+\:-y\:=\:24[/tex] is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a  summary, the following are the LINEAR functions.

[tex]2x\:+\:4\:=\:3x\:-\:8[/tex][tex]y = 3x - 2[/tex][tex]1[/tex][tex]3x\:+\:-y\:=\:24[/tex]


Related Questions

i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??

Answers

Answer:

i believe its the rise and the run of the slope.

Step-by-step explanation:

i believe its something similar to this photo

Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.

a. 6
b. 39
c. 74
d. 202

Answers

4(2)^4 - 2(7^2) + 40
4(16)-2(49)+40
64 - 98 + 40
-34 + 40
= 6

I need help with this question pls​

Answers

C should be the answer.

Answer:

it C

Step-by-step explanation:

just think about it

What is 1350 as a fraction

Answers

Answer:

it is the same as 1350/1

Step-by-step explanation:

so it is being divided by 1, which means it is the same thing.

Answer:

Step-by-step explanation:

1350/1. any whole number you place over 1.

Evaluate the expression if f = 15 g = 5 and h = -45 F - h --------- 10

Answers

Answer: 3

Step-by-step explanation:

-15- -45= 30

30/10=3

The answer is to this is 3

HELP ASAP DUE IN 5!!!!
Determine whether the relationship between the two quantities described in each table is linear.
If so, find the constant rate of change. If not, explain your reasoning.

O Yes; 4 apples/tree
O Yes; 20 apples/tree
O No; No constant rate of change
O None of the above

Answers

Answer:

No; No constant rate of change

Step-by-step explanation:

5 trees > 100 apples --> 20 apples/tree

10 trees > 120 apples --> 12 apples/tree

15 trees > 150 apples --> 10 apples/tree

20 trees > 180 apples --> 6 apples/tree

A newborn kitten weighs 3 ounces at birth. After four weeks, it weighs 13 ounces. Which of the following is true?

Answers

Answer:

Their is a different question in the pic then the writing?

It shows a different question on the picture than the question


What is the average rate of change in profit from Hour 5 to Hour 10?

Answers

Answer:

d

Step-by-step explanation:

so at 5 hours he  was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600

$600 is the average rate of change in profit from Hour 5 to Hour 10

What is Rate of change?

A rate of change is a rate that describes how one quantity changes in relation to another quantity

The given table is

Hour                Profit

0                        $0

2.5                     $500

5                        $900

7.5                     $1200

10                        $1500

5 hours the profit is 900 and 5 hours later he is at a profit 1500

We need to subtract 900 from 1500 to find the average rate of change.

1500-900=600

Hence $600 is the average rate of change in profit from Hour 5 to Hour 10

To learn more on Rate of change click:

https://brainly.com/question/13103052

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Which value of b results in infinitely many solutions for the system?

9x+6y=b
3x+2y=1

6
1
5
3

Answers

Answer: 3

Step-by-step explanation:

I just finished the test and this was the answer I put and it was right.

9x+6y=b

6y=b-9x

y=b/6 -9/6x

y=b/6-3x/2

y= -3x/2 +b/6

3x + 2y = 1

2y = 1 - 3x

y = 1/2 -3/2x

y = -3/2x + 1/2

b/6=1/2

b=3

Answer:

Step-by-step explanation:

slope = 1 y-intercept = 3

Answers

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

1x is the same as x

Charlie bought two holes in 3/4 of pears for $0.76 per pound and 2 wholes and 3/4 lb of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes

Answers

Answer:

Hh

Step-by-step explanation:

Suppose that in a school with 150 total students, there are 10 students who have the flu. Administrators take an
SRS of 20 students to test for the flu. Let X = the number of students in the sample who test positive for the
flu.
Is X a binomial variable? Why or why not?

Answers

Answer:

The trials are not independent, so

X is not a binomial variable.

Step-by-step explanation:

The variable X is not a binomial variable. The reason for this is X is not independent.

What is a binomial variable?

A binomial variable is a variable that determines the frequency that an event would happen  in a fixed number of trials.  

The conditions for a binomial variable include:

The observation fall into either a success or failure category with an equal chance of happening.There are a fixed number of observationsThe observations are independent.

To learn more about binomial random variable, please check: https://brainly.com/question/25469830

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I WILL MARK BRAINIEST
please answer question 2 it shows the answer I got wrong so don’t choose that one

Answers

Answer:

C

Step-by-step explanation:

They are similar triangles as all 3 angles are same

Answer:

C. The triangles are similar

Step-by-step explanation:

Similar means same figure/shape but not the same size, congruent is exactly the same. We can see that the two triangles are similar in shape, and if u want to go that fat, they have the same angles too. But they're not the same size so they are similar.

An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.

Answers

I think it’s 9 percent

I NEED HELP WITH THIS OMG

Answers

Answer:

its actually hard

Step-by-step explanation:

it is hard OMG

Answer:

∠ EDF =104°

Step-by-step explanation:

The measure of the chord- chord angle EDF is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is

∠ EDF = [tex]\frac{1}{2}[/tex] (arc EF + arc GU )

           = [tex]\frac{1}{2}[/tex] (147 + 61)°

           = [tex]\frac{1}{2}[/tex] × 208°

           = 104°

find x
please solve this​

Answers

Answer:

120°

Step-by-step explanation:

ABCD is a cyclic Quadrilateral.

[tex] \angle CBE [/tex] is the exterior angle of cyclic quadrilateral ABCD.

Since, the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.

[tex] \therefore x = m\angle ADC\\\\

\therefore x = 120\degree [/tex]

Guys, please help! I'm reaallllyyyy desperate!

Answers

Answer:

So first, let's substiute the variables into numbers based on your problem. We get -(-1)-(5)^2+3(-1)(5). If we solve that expression, we will get -39. So, your answer is -39. Hope this helps and good luck

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-a-b²+3ab

-(-1)-5²+3(-1×5)

+1-25-3+25

-24-3+15

-27+15

=-12

i need some help with this

Answers

Answer:

d

Step-by-step explanation:

hope this is right

The answer is d i think

Find the constant of proportionality for the table and write in the form y = kx.

A) y = 1/6x
B) y = 6x
C) y = 7x
D) y = 42x

Answers

A is the correct answer.

Answer:

The constant of proportionality for the table will be: k=6

Thus, the equation becomes

[tex]y=kx[/tex]

[tex]y=6x[/tex]

Step-by-step explanation:

The constant of proportionality, k, is the constant value of the ratio of two proportional quantities y and x.

We know the equation

[tex]y=kx[/tex]

where k is the constant of proportionality.

Looking at the graph,

at x=7, the value of y=42

so the ratio of y/x = 42/7 = 6

at x=14, the value of y=84

so the ratio of y/x = 84/14 = 6

at x=21, the value of y=126

so the ratio of y/x = 126/21 = 6

at x=28, the value of y=168

so the ratio of y/x = 168/28 = 6

We observe that the ratio of y/x remains constant which y/x=6

so using the equation

[tex]y=kx[/tex]

take any point let say (7, 42)

42 = k(7)

42/7=k

6 = k

Therefore, the constant of proportionality for the table will be: k=6

Thus, the equation becomes

[tex]y=kx[/tex]

[tex]y=6x[/tex]

2+2= ???????
What is it

Answers

Answer: The answer would be four.

Which choice is equivalent to the expression below? ​

Answers

The answer is D , I promise
The answer is D, I promise

Convert 75% into a fraction and shade the circle according to the result.

Answers

Answer:

The answer is literally 3/4 as a fraction and you have to shade 15 parts.

Si en un triángulo un ángulo mide 30º y otro 70º¿cuánto mide el tercer ángulo?

Answers

Answer:

El tercer ángulo es 80

Step-by-step explanation:

En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)

There are several bowls containing various amounts of grapes on a table. When 12 of the bowls each had 8 more grapes added to them, the mean (average) number of grapes per bowl increased by 6. How many bowls of grapes are on the table?

Answers

Answer:

There are 16 bowls

Step-by-step explanation:

Number of bowls = x

Total grapes added = 12 x 8 = 96

The average increased by 6

So 96/6 = 16

There were 16 bowls of grapes on the table

OR

12 x 8 = 96

96/6=16

Answer:

16 bowls

Step-by-step explanation:

Number of bowls = x

Total grapes added = 12 x 8 = 96

The average increased by 6

So 96/6 = 16

There were 16 bowls of grapes on the table

Find the measure of <JKL =63°​

Answers

Maybe it is 9.5 x 9.5??


The sum of two numbers is 116 and their difference is 18. Find the larger number.

Answers

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

67

Step-by-step explanation:

let larger number be x and the other be y.

x - y = 18

x = 18+y

now, x + y = 116

therefore, 18+y+y= 116

18 + 2y =116

2y = 116-18

2y = 98

y = 98/2 = 49

larger number = 49 + 18 = 67

Can someone please explain how I am supposed to do this I do not understand at all whatsoever.

Answers

Answer:

B. (6,-3)

Step-by-step explanation:

3x - 5y ≥ 10

(1,4) IS NOT a solution to the equation

3(1) - 5(4) ≥ 10

3 - 20 ≥ 10

- 17 ≥ 10

3x - 5y ≥ 10

(6,-3) IS a solution to the equation

3(6) - 5(-3) ≥ 10

18 + 15 ≥ 10

33 ≥ 10

3x - 5y ≥ 10

(-5,-2) IS NOT a solution

3(-5) - 5(-2) ≥ 10

-15 + 10 ≥ 10

-5 ≥ 10

3x - 5y ≥ 10

(2,0) IS NOT solution

3x - 5y ≥ 10

3(2) - 5(0) ≥ 10

6 - 0 ≥ 10

6 ≥ 10

a balloon dress 140 miles towards the lessons 45 seconds then it suddenly changes and the win flies 90 miles towards the east and that's 25 seconds What's the total distance it traveled​

Answers

I think the total is 190 miles they have traveled but don’t trust me I think it is

I need help please help me

Answers

Answer:

A, B and D

Step-by-step explanation:

The zeros of f(x) are the points located on the x- axis, that is where y = 0

We can check which ones are the solutions by finding the zeros of f(x)

To find the zeros let f(x) = 0 , that is

(x² + 2x - 8)(x - 6) = 0 ← factorise the quadratic

(x + 4)(x - 2)(x - 6) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x - 6 = 0 ⇒ x = 6

There are 3 zeros at x = - 4, x = 2, x = 6

These are located at A, B and D

Answer:

A, D, B

Step-by-step explanation:

The roots (zeroes) are the x values where the graph intersects the x-axis. To find the roots(zeroes), replace y with 0 and solve for x.

Which of the following pairs of triangles can be proven congruent by SSS?

Answers

Answer:

D

Step-by-step explanation:

D is the answer bro am I don’t need points
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