Is the equation a linear function or nonlinear function?
y = 0.5x – 1

Answers

Answer 1

Answer:

Linear.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 0.5x - 1

Step 2: Compare

y = mx + b

y = 0.5x - 1

m = 0.5

b = -1

The equation is a linear function. It's proportional.

Is The Equation A Linear Function Or Nonlinear Function?y = 0.5x 1

Related Questions

This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x

Answers

Answer:

B. y = 6x + 3

Step-by-step explanation:

Given

x = {5, 6, 7, 8, 9} andy = {33, 39, 45, 51, 57}

The equation in slope- intercept form:

y = mx + b

Using two pairs of coordinates (5, 33), (6, 39), we will find the slope:

m = (39 - 33)/(6 - 5) = 6/1 = 6

Using one point (5, 33) to find the y-intercept:

33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3

The equation is:

y = 6x + 3

Correct option is B

Marty swans 36 yards in 42 seconds. If he continues to swim at the same rate, how long will it take him to swim 500 yards

Answers

It would take 428 seconds to swim 500 yards

Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6

Answers

Answer:

Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd

dvsud sgsgs hsysvdudbd dvyd dhsgtsjd vsytwgsud gsyfwuyebdbhys. dusgcejd b

What is an equation of the line that passes through the points (4,1) and (8,-3)?

PLZZ HELPP MEE!!

Answers

Answer:

y=-x+5

Step-by-step explanation:

(4,1)

(8,-3)

1)a slope of a line is (y2-y1)/(x2-x1)

  so (-3-1)/(8-4)

  -4/4=>m=-1

2)to find y-int replace any points in the equation by x and y

so    1=-1(4)+b

        1=-4+b

        1+4=b

so b= 5

therefore the equation is  y=-x+5   so d

12.
Question 19 (5 points)
2 - (-8) + (-3) =
15
OA) 1
18
B) 14
12
O
D) 7

Answers

Answer:

The answer is d because 10-3 is 7

Answer:

D)7

Step-by-step explanation:

2 - (-8) + (-3) =

10-3 =7

Which of the following functions has the function rule y=x+4? (-2, 2), (-1,-5), (3.7)} {(-3, 1), (0.4), (2. 6)) (12.6). (-3.-7), (0.4) (0.2).(-2,-6). (1.5))​

Answers

Answer:

b. {(-3, 1), (0, 4), (2, 6)}

Step-by-step explanation:

Which equation represents the line that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5?

Answers

Answer:

y = 2x - 13

Step-by-step explanation:

Equation of a line is y = mx + c, m is the gradient and c is the intercept

The line passes through points 4 and -5, x is 4 and y is -5

-5 = 4m + c

When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1

x + 2y = 5

2y = -x + 5

y = (-1/2 * x) + 5

therefore m = -1/2

m1 * m2 = -1

m * -1/2 = -1

-m = -2 , therefore m = 2

-5 = 4 * 2 + c

c = -5 - 8, which is -13

Therefore the equation for the line is

y = 2x - 13

How long would 8 thousand trillion trillion trillion trillion trillion trillion trillion trillion years be if typed out?

Answers

Answer:

100 digits

Step-by-step explanation:

One trillion is 10¹², so it adds 12 zeros.

8000 adds 4 digits.

8 trillions add 8·12 = 96 zeros.

So in total you have 96+4 = 100 digits

This number would also be called 8 googol, since 1 googol is 10¹⁰⁰

Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las tres inversiones es de 3200 dólares. Además, el ingreso de la inversión al 16% es igual al ingreso de las otras dos inversiones combinadas. ¿Cuánto se invirtió a cada tasa de interés?

Answers

Answer:

$5000 at 10%, $10000 at 12% and 10000 at 16%

Step-by-step explanation:

One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?

==================

Let the parts be x, y and z

As per given we get below system of equations:

x + y + z = 250000.1x + 0.12y + 0.16z = 32000.1x + 0.2y = 0.16z

Substitute 0.1x + 0.2y in the second equation:

0.16z + 0.16z = 32000.32z = 3200z = 3200/0.32z = 10000

Now we have:

x + y + 10000 = 25000 ⇒ x + y = 15000

and

0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600

Multiply the second equation and then subtract the first one:

10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000x + 1.2y - (x + y) = 16000 - 150000.2y = 1000y = 10000

Then

x = 15000 - 10000 = 5000

So the parts are:

$5000 at 10%, $10000 at 12% and 10000 at 16%

4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no

Answers

Answer:

Step-by-step explanation:

Given function is h(t) = -16t² + 1500

a). For h(t) = 1000 feet,

   1000 = -16t² + 1500

   1000 - 1500 = -16t² + 1500 - 1500

   -500 = -16t²

    t² = [tex]\frac{500}{16}[/tex]

    t = [tex]\sqrt{31.25}[/tex]

    t = 5.59 sec

b). For h(t) = 940 feet,

   940 = -16t² + 1500

   940 - 1500 = -16t² + 1500 - 1500

   -16t² = -560

   t² = [tex]\frac{-560}{-16}[/tex]

   t = [tex]\sqrt{35}[/tex]

   t = 5.92 sec

c). For domain and range of the function,

  When the jumper comes down to the ground,

   h = 0

   0 =-16t² + 1500

   t² = [tex]\frac{1500}{16}[/tex]

   t = [tex]\sqrt{93.75}[/tex]

   t = 9.68 sec

  Since, x-values on the graph vary from x = 0 to x = 9.68,

  Domain : [0, 9.68]

  Vertex of the quadratic function: (0, 1500)

  Since, coefficient of the highest degree term is negative, parabola will open downwards.

  Therefore, y-values of the function will vary in the interval y = 0 to y = 1500

  Range: [0, 1500]  

What is 48 square feet in square meters

Answers

Answer: 4.45935

Step-by-step explanation: 1 Square foot (sqft) is equal to 0.09290304 square meter (sqm). For example, to convert 100 square feet to square meters, multiply 100 by 0.09290304, that makes 9.290304 sqm is 100 sqft. Hope this helps.

sec²A-cosec²A=(tanA+cotA)(tanA-cotA)​

Answers

Answer:

Step-by-step explanation:

Sec²A-cosec²A=(tanA+cotA)(tanA-cotA)

Tan^2A+1-cot^2A-1=(tan^2A-cot^2A)

tan^2A-cot^2A=tan^2A-cot^2A

L.H.S=R.H.S

Hence proved.

-4/9 divided by 2/3 what would the answer be?

Answers

Answer:

-4/9*3/2

-4*3/9*2

-12/18

-2/3

Answer:

-2/3

Step-by-step explanation:

-4/9 divided by 2/3

you turn divided into multiplied and flip the second number

-4/9*3/2

you can cross multiply.

once you have simplified you should have

-2/3*1/1

simplified further to

-2/3*1

so,

-2/3 is the answer :)

Determine whether the graph represents a function?
None are correct
The relation is a function
The relation is not a function

Answers

The relation is a function I believe so

What is the point- slope equation of the line through the point (-5, 5) that is perpendicular to the line whose equation is y= (5/3)x + 2? URGENT

Answers

Slope=-3/5. BBC be C. Be c. Be. C be

What kind of function describes this situation?

Answers

Answer: A

Step-by-step explanation:

because she's deducting 10 points every day the slope is constant so it has to be a linear equation

Please find the x, thank you!

Answers

Switch around the equation
7/x - 9/x = -1/4
-2/x = -1/4
Cross multiply
x = 8

Answer:

X=8

Step-by-step explanation:

Hope this helps

Simplify each term. please help!! 30 points + brainliest :)
1. -(-3y)³
2. (2c)⁵
3. (-2m)⁴
4. (4g)³
5. (7j)²
6. (-5z)⁵

Answers

Answer:

1.  27y^3

2. 32c^5

3. 16m^4

4. 64g^3

5. 49j^2

6. -3125z^5

Step-by-step explanation:

Can you help answer my question too, please?

Pls answer professionally or with the right answer I’m beg you

Answers

1) y=106 x=106 2) z=68 y=112 x=112

Answer:

Step-by-step explanation:

Hello friend!!!

here's ur answer

1) <y = 180 - 74 = 106° ( linear pair )

<x = <y ( alternate angles )

therefore, <x = <y = 106°

2) <x = 68° ( corresponding angles )

<y = 180 - 68 = 112° ( linear pair )

<z = 112° ( vertically opposite angles )

Hope this helps

plz mark as brainliest!!!!!

Whats the slope and how do i / where do i graph it

Answers

Slope (y2-y1)/(x2-x1)
Pick any random points
(1,0) and (0,3)
(3-0)/(0-1) = 3/-1 = -3
The slope is -3
It is already graphed?

Answer:

The slope is 3. graph it every time the line hits an exact point

Step-by-step explanation:

What is the first step equation=6x – 4x + 3 = 15
A.
Add 4x to both sides of the equation.

B.
Subtract 4x to both sides of the equation.

C.
Combined the variable terms on the left side of the equation.

D.
Combine the constant terms on the right side of the equation.

Answers

The answer is C . You should always combine the variables terms first .

help please!!!!! (QUESTION #3)!!!!!!!

Answers

I’m not sure I’m just guessing but maybe 7x minus 35

An item that originally cost $12 is discounted 30%. What is the price of the item after the discount? Please give explanation or show work

Thank you

Please try to answer quickly thanks!

Reward is 16 Brainly points ;)

Answers

Answer: $8.4

Step-by-step explanation:

To find 30% of 12 first, we move the decimal point to the left two times. Now we have .3 next multiply it by twelve. (3.6) This number is 30% of 12. Lastly, subtract 3.6 from 12 to get your answer.

I WILL GIVE BRAINLIEST
Tell whether the following equations represent a linear function.
1. 15x + 3y = 9
2. −x^2 + 9y = 21
3. 6x + 1/4y = 3

Answers

Answer:

Step-by-step explanation:

1. yes

2. no - it's a quadratic equation

3. yes

Answer:

Tell whether the following equations represent a linear function.

1. 15x + 3y = 9-- linear equation✓

2. −x^2 + 9y = 21-- quadratic equation

3. 6x + 1/4y = 3-- linear equation✓

The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7), what are the
coordinates of B?

Answers

Answer:

(8,1)

Step-by-step explanation:

(8,1) you have to add do to the same to B

Pont B is located at coordinates at the line AB (8, 1)

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7)

From the general formula of midpoints of a line

coordinates of midpoint = ((x₂ + x₁)/2, (y₂ + y₁)/2)

where,

(x₁, y₁) are the coordinates of A

(x₂, y₂) are the coordinates of B

And in our case Coordinates of the midpoint are (6, -3)

Thus,

6 = (4 + x₂)/2

x₂ = 8

-3 = (-7 + y₂)/2

y₂ = 1

therefore, the coordinates of Pont B at line AB are (8, 1)

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ2

p=3y/q solve for y make sure to add steps pls

Answers

Answer:

Solving for y gives:

[tex]y = \frac{pq}{3}[/tex]

Step-by-step explanation:

Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.

Given equation is:

[tex]p = \frac{3y}{q}[/tex]

Multiplication property of equality(Multiplying both sides by q)

[tex]p*q = \frac{3y}{q} * q\\pq = 3y[/tex]

Division property of equality(Dividing both sides by 3)

[tex]\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y[/tex]

Hence,

Solving for y gives:

[tex]y = \frac{pq}{3}[/tex]

×5=30
×5=300
×5=3,000
×5=30,000
×5=300,000
×5=3,000,000
×5=30,000,000

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

From up to down :

[tex]6[/tex]

_________________________________

[tex]60[/tex]

_________________________________

[tex]600[/tex]

_________________________________

[tex]6,000[/tex]

_________________________________

[tex]60,000[/tex]

_________________________________

[tex]600,000[/tex]

_________________________________

[tex]6,000,000[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

1. 6

2. 60

3. 600

4. 6,000

5. 60,000

6. 600,000

7. 6,000,000

Step-by-step explanation:

What fraction of the diagram above
is not shaded? (All the squares are
equal in area).​

Answers

Would help if you showed the diagram.

PLS HELP ME FAST WILL GIVE POINTS
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(9, 0), Q(6, 3), and R(−3, −6). Triangle P′Q′R′ has vertices P′(3, 0), Q′(2, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answers

Answer:

The scale factor of the dilation that transforms the triangle is 1/3

Step-by-step explanation:

9x1/3 is 3. 6x1/3 is 2, etc.

10 workers produce 30 complex elements in 10 days. In how many days would 5
workers produce 24 elements?

Answers

Given:

10 workers produce 30 complex elements in 10 days.

To find:

The number of days, in which 5  workers produce 24 elements.

Solution:

According to the question, let as assume

[tex]n_1=10[/tex]

[tex]w_1=30[/tex]

[tex]d_1=10[/tex]

[tex]n_2=x[/tex]

[tex]w_2=24[/tex]

[tex]d_2=5[/tex]

where, n is number of workers, w is work done, and d is number of days.

We have, a formula,

[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]

Substituting the values in the above formula, we get

[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]

[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]

Isolate variable x.

[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]

[tex]\dfrac{240}{15}=x[/tex]

[tex]16=x[/tex]

Therefore, the required number of days is 16.

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