A function that changes in the same way all the time is?

Answers

Answer 1

Answer:

A function that changes the same way can be a linear function.

y = a*x + b.

Where the rate of change (this is, how much changes y when x increases or decreases) is defined by the coefficient a, that is constant.

for example, suppose that when x = x0, we have y = y0

y0 = a*x0 + b.

Now x0 increases by one unit, to (x0 + 1)

y = a*(x0 + 1) + b = (a*x0 + b) + a = y0 + a.

Then if x increases (or decreases) 1 unit, y increases (or decreases) a units.

Now, we can define the rate of change of a function as it's derivate with respect to some variable.

In this case, if we derive with respect to x, we have:

y' = a

Then the rate of change is constant.


Related Questions

What is the lower quartile? (CAN ANYONE HELP:))

Answers

can u repost this question the picture is just completely black


What do the differences between the points (as shown on the graph) represent?
Please answer

Answers

Answer:

Answer:

They represent the rise and run of the graph.

Step-by-step explanation:

Step-by-step explanation:

The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)

The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).

The ratio of rise to run is the slope of the graph, which tells us  how many steps should we take on the y-axis for every step we move forward on the x-axis.

They represent the rise and run of the graph.  

The difference between the x-axis of the points represents the" run" of the graph( or how  important you should run along x-axis to get to the coming point.)  The difference between the y- axis of of the points represents the" rise" of the graph( or how  important you should rise up the y- x is to get to the coming point).  

The  rate of rise to run is the slope of the graph, which tells us how  numerous  way should we take on the y- axis for every step we move forward on the x-axis.

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What two whole numbers is the quotient between 17÷2

A. 3 and 4
B. 6 and 7
C. 8 and 7
D. 15 and 16

Answers

Answer:

Step-by-step explanation:

C

Because 17 divided by two is 8.5

6+9=69 ok so this is simple beacause you take six then add nine with it to get 69

HURRY Nora tracked variations in temperature for five days to show how much above or below average the actual temperature was. A 5-column table with 1 row titled Degrees Above/Below Average (Fahrenheit). Column 1 is labeled Monday with entry 2.2. Column 2 is labeled Tuesday with entry negative one-half. Column 3 is labeled Wednesday with entry negative 1 and one-half. Column 4 is labeled Thursday with entry negative 0.9. Column 5 is labeled Friday with entry 1. A number line going from negative 3 to positive 3. Graph the data on the number line. On which day was the temperature the farthest below average?

Answers

Answer:

Wednesday

Step-by-step explanation:

1. First find the position of each variable on the number line.

2. The average temperature is 0 because it is in the center.

3. The answer cannot be Monday because it is above so it is Wednesday.

Answer:

wensday

Step-by-step explanation:

need help answer quick ​

Answers

Answer:

number 10

k= 36

number 11

k=33

The LCM of 4 and 7 is ______.

Answers

28 is the LCM of 4 and 7 as 4*7 = 28

Answer:

The LCM of 4 and 7 would come out to 28.

Write the repeating decimal as a fraction. -0.356 with 2 trailing repeating decimals plz help ill give branliest

Answers

Answer:

Fraction: 89/250

Percentage:35.6%

Step-by-step explanation:

x = -7y; 2x - 8y = 22​

Answers

Answer:

(7; -1)

Step-by-step explanation:

Hi there!

Here is a solution:

If x=-7y then -14y-8y=22 => y=-1 and x=7

Hope this helps)

Have a nice day!

Hello I need help with my school question. Here it is. Estimate.
73
×
64 And it’s not 4,672. I tried that

Answers

Hi, I just rounded it to the nearest tenths and I got 4200

How do I solve 5(1 − x) + 2(x + 3) ?

Answers

Answer:

11-3x

Step-by-step explanation:

1) Multiply 5(1-x). To do this, you multiply 5 by both x and 1. You should get     5-5x.

1) Next, multiply 2(x+3). You should get 2x+6.

3) Finally, add like terms. Add 2x and -5x together and add 6 and 5 together. You should get -3x and 11.

The answer is 11-3x.

help meh pleaseeeeeeeeeee

Answers

Answer:

-2/1

Step-by-step explanation:

-2/1 starting point -1

Pls help me. I need help

Answers

Answer:

x= horizontal y=vertical

Harper and her children went into a bakery and will buy cupcakes and brownies.
Each cupcake costs $4.25 and each brownie costs $2.75. Harper has a total of $40 to
spend on cupcakes and brownies. Write an inequality that would represent the
possible values for the number of cupcakes purchased, c, and the number of brownies
purchased, b.

Answers

4.25c+2.75b=40 would be the correct answer because you’re trying to find how many they can get of each with only 40 dollars

Answer:

4.25c+2.75b_<40

Step-by-step explanation:

Simplify -2.6f+0.7f-15-4

Answers

Answer:

-1.9f-19

Step-by-step explanation:

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[tex] - 1.9f - 19 = [/tex]

[tex] - 1.9(f + 10)[/tex]

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Line m passes through (5,-3) and is parallel to a line that passes through (1,-4) and (9,-2).

Answers

A picture might help not enough explaining

The required equation of the line is given as y =1/4x -17/4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.


The slope of the line is given as,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1

m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)

Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4

Thus, the required equation of the line is given as y =1/4x -17/4.

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Which function is graphed on the coordinate plane below?

f(x) = 2x – 6
f(x) = 2x + 6
f(x) = –2x + 6
f(x) = –2x – 6

Answers

Answer:

b

Step-by-step explanation:

The correct function is graphed on the coordinate plane is,

⇒ y = 2x - 6

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (3, 0) and (4, 2).

Now,

Since, The equation of line passes through the points (3, 0) and (4, 2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (2 - 0) / (4 - 3)

m = 2 / 1

m = 2

Thus, The equation of line with slope 2 is,

⇒ y - 0 = 2 (x - 3)

⇒ y = 2x - 6

Therefore, The equation of line passes through the points 3, 0) and (4, 2). will be;

⇒ y = 2x - 6

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Pls someone help hurry

Answers

Answer:

First base goes with first height, second base with third height and third base with second height

Step-by-step explanation:

Write the statements “If you take away 6 from 6 time a number, you get 60”in the form of equations:.

Answers

6x-6=60

The other answer is wrong

Help please all of yu smart mathematics

Answers

Answer: take the picture again and i well help you am here to help its burred

Step-by-step explanation:

At school 2 out of every 5 students in the sixth grade are members of the band which ratio represents the number of 6th graders that are not members of the band

Answers

Answer:3:5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

had that answer

Plz help me fast will give brain list

Answers

17,400 - 3000 = 14,400

Let x be the number of months.

300x = 14,400

Divide by 300.

x = 48

12 months = 1 year

4 years is the answer.

Answer:

4 years

Step-by-step explanation:

Equation: 300x + 3000 = 17400

Subtract 3000 from both sides;

300x = 14400

Divide both sides by 300;

x = 48 months

48 months = 4 years

plsss answer pic below

Answers

it’s 65° because if you look at the angel next to it it’s the same size as angel X

Jorge is making 6 large salads and 4 small salads how manny cherry tomatoes does he need

Answers

Answer:

Illogical

Step-by-step explanation:

Your question is completely illgocal unless you state the number of cheery tomatoes used in 1 or x amounts of large and small salads

Answer:

84

Step-by-step explanation:

We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes.

List the domain and range of each function (1,-4),(2,-3),(3,-2),(4,-1)

Answers

Answer:

Domain are all x values

Range are all y values

Domain:(1,2,3,4)

Range:(-4,-3,-2,-1)

Domain (1,2,3,4)
Range(-1,-2,-3,-4)

Arnie delivered n packages each hour for 3 hours while Beth delivered q packages each hour for 4 hours. Which expression represents the total number of packages delivered by both Arnie and Beth?

Answers

Answer:

Vfgfvhgf

Step-by-step explanation:

Vb vgbbgbv gybgyh

Answer:

3n + 4q

Step-by-step explanation

PLEASE BE QUICKKK!!

Answers

Answer:

The Answer would be C, i think

Step-by-step explanation:

find the equation of the line that passes through a and b

Answers

Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m = = = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line

Can someone help me with this please!? its urgent!
Thank you who helped :)

Question: Explain how you would find the measure of the angle indicated.

Answers

Answer:

x=11 qqqqgugug

Step-by-step explanation:

I'm nerdy

Answer:

37 degrees

Step-by-step explanation:

All insides of triangles = 180 degrees, so...

67 degrees + 76 degrees + (x + 48) degrees = 180

67 + 76 + (x + 48) = 180

143 + x + 48 = 180

191 + x = 180

x = -11

x + 48

-11 + 48

37 degrees

5x + 4 = 5x +4
O One Solutions
O Infinitely many solutions
O No Solution
Please help

Answers

Answer:

No Solution

Step-by-step explanation:

I think this will help you

Infinitely many, because if you subtract 5x from both sides, 4 = 4, and that is true at all times, no matter what x is.

which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6
TIMED TEST WILL GIVE BRAINLIEST

Answers

Parallel means their slopes should equal to each other.

Thus we need to find the slope of the given line ,

Let's do it.....

[tex]3x - 4y = 6[/tex]

Subtract sides -3x

[tex] - 3x + 3x - 4y = - 3x + 6[/tex]

[tex] - 4y = - 3x + 6[/tex]

Divided sides by -4

[tex] \frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\ [/tex]

[tex]y = \frac{3}{4}x - \frac{3}{2} \\ [/tex]

This is the slope-intercept of the line.

We know that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus the slope of the equation which we want is :

[tex]slope = \frac{3}{4} \\ [/tex]

_________________________________

We have following equation to find the point-slope form of the linear functions.

[tex]y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\ [/tex]

Now just need to put the slope and the given point in the above equation.

[tex]y - 6 = \frac{3}{4} \times (x - 4) \\ [/tex]

Multiply sides by 4

[tex]4(y - 6) = 3(x - 4)[/tex]

[tex]4y - 24 = 3x - 12[/tex]

Plus sides 24

[tex]4y - 24 + 24 = 3x - 12 + 24[/tex]

[tex]4y = 3x + 12[/tex]

Subtract sides -3x

[tex]4y - 3x = 3x - 3x + 12[/tex]

[tex]4y - 3x = 12[/tex]

And we're done....♥️♥️♥️♥️♥️

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