Determine if the following table represents a linear function. If so, what’s the rate of change?

Determine If The Following Table Represents A Linear Function. If So, Whats The Rate Of Change?

Answers

Answer 1
Yes the rate of change= 3/2
Answer 2

The values in the table represent a linear function.

The correct option is; Yes; The rate of change = 3/2

What is a linear function?

A linear function is a function forms a straight line when plotted on the coordinate plane.

The values in the table represent a linear function, where we get;

The first difference is constant

The subsequent x-values increase by the same value

The increase the subsequent x-values is; 4 - 2 = 6 - 4 = 8 - 6 = 2, which is a constant

The first difference in the y-values is; 6 - 3 = 9 - 6 = 12 - 9 = 3

The first difference is a constant, 3, therefore, the values in the table represent a linear function.

The slope or rate of change is the ratio of the first difference to the difference in subsequent x-value, therefore;

The rate of change = 3/2

The correct option is therefore; Yes, rate of change = 3/2

Learn more on linear functions here: https://brainly.com/question/29869165

#SPJ6


Related Questions

A cyclist traveled 70km at a constant speed. Write down the formula that shows the dependence of the speed, v, on the time t. Find v(5), v(7), v(3.5)
HELP I WILL GIVE BRAINLIEST + 20 POINTS I REALLY NEED THIS

Answers

The equation which relates speed, V and time, t to the total distance traveled is 70 = Vt

70 = Vtv(5) = 14 V(7) = 10V(3.5) = 20

Since he is traveling at a constant speed, the relationship between, V and t can be written thus :

Distance = speed × time 70 = Vt

At time, t = 5

70 = 5VV = 70/5 = 14

At time, t = 7

70 = 7vV = 70/7 = 10

At time, t = 3.5

70 = 3.5vv = 70/3.5 = 20

Therefore, the relationship between V and t with distance is 70 = Vt

Learn more :https://brainly.com/question/23774048

Factories 16xy*2 +10xy

Answers

Answer:

[tex]16x {y}^{2} + 10xy \\ = 2xy(8y + 5) \\ 2xy = 0 \: or \: 8y + 5 = 0 \\ y = - \frac{5}{8} [/tex]

Find the percent decrease. Round to the nearest percent.


From 138 pounds to 130 pounds


The percent decrease is %.

Answers

Answer: 6%

Step-by-step explanation:

so you find the normal decrease. which is 138-130, 8 pounds.

then you divide by the original weight, you get 5.979…% so then round it up and tada! 6%

Which ordered pairs are solutions to the inequality y-2x less than or equal to -3

Answers

Answer:

(0, −3)

(2, −2)

(1, −4)

(6, 1)

(−3, 0)

Step-by-step explanation:

try plugging them in, might seem tedious, but it's the best way to practice. if you plug in a pair and the left side of the equation is less than or equal to 6, it's the right answer.

can someone please help with this one?

Answers

Answer:

Website a is cheaper by 29 cents

Step-by-step explanation:

Find the perimeter P of
v
OJKLM
with vertices J(-3,-2), K(-5, -5), L(1, -5), and M(3,-2). Round your answer to the nearest tenth, if
necessary
Ť
P=
units
OCT
7
étv
A
W
Р
MacBook Air
12
0
!
A
11
3
$
4
%
5
&
7
4
8
2
9
o
Q
W
E
R
T
O
Р
lab

Answers

Answer:

P = 3.6 + 6 + 3.6 + 6 = 19.2 units

Step-by-step explanation:

distance between (-3,-2) and (-5,-5) =

Sqrt[(-5-3)^2+(-5 - -2)^2]

Sqrt (4+9) = 3.6

d = (-5,-5) and (1,-5) =

Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]

= sqrt (36 + 0) = 6

d = (1,5) and (3,-2)

Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]

Sqrt(4+9) = 3.6

d = (3,-2) and (-3,-2)

Sqrt[(-3-3)^2 + (-2 - - 2)^2]

Sqrt (36+0) = 6

The amount of cleaning solution a company fills its bottles with has a mean of 33fl oz and a standard deviation of 1.5fl oz The company advertises that these bottles have 32fl oz, of cleaning solution.

Answers

Answer:

Mean: 30 mL

Standard Deviation: 45mL

Step-by-step explanation:

what set operation combining all elements that are in two sets?​

Answers

It is the intersection

Same question, but different answer option.
I definitely need help with this math problem.

Which expression is equivalent to 10f-5-5f+2?
15f-3 5f-7
15f-7 or -3+6f

Answers

Answer:

5f - 3, I'm assuming there was a typo in the answer choices.

Step-by-step explanation:

10f - 5f + 2 - 5

5f - 3

can someone please help I am stuck and its due soon I will follow and give feed back

Answers

It is 2.7737120471374

Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Given :

[tex]f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1[/tex]

[tex]g(x) = 4x - 5[/tex]

let's solve for f(x) × g(x) :

[tex]( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)[/tex]

[tex]4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5[/tex]

[tex]4 {x}^{4} + 3 {x}^{3} + 2 {x}^{2} - 11x - 5[/tex]

therefore, correct choice is : D

If the diameter is 7.5 what is the radius?
If the radius is 17 what is the diameter?
If the diameter is 21 what is the radius?
If the radius 813 what is the diameter?

Answers

Answer:

Here is the answer to your question its fairly simple.

Step-by-step explanation:

3.75 is the radius

34 is the diameter

10.5 is the radius

1626 is the diameter

During a special ops mission a helicopter traveled eastward at 75 m/s against
westward blowing wind moving at a speed of 8 m/s. What would most likely
happen if the wind speed increased to 17 m/s? *
Helicopter
75 m/s
Wind

Answers

Answer:

the helicopter would go up and backwards

Find the 16" term of the arithmetic sequence whose common difference is d= 8 and whose first term is a, = 1.
0
(0 미미
Х
?

Answers

Answer:

[tex]a_{16} = 121[/tex].

Step-by-step explanation:

To go from the first term [tex]a_{1}[/tex] of this sequence to the second term [tex]a_{2}[/tex], add [tex]d[/tex] to [tex]a_{1}\![/tex].

To go from the first term [tex]a_{1}[/tex] of this sequence to the third term [tex]a_{3}[/tex], add [tex]2\, d[/tex] to [tex]a_{1}\![/tex].

In general, going from the first term [tex]a_{1}[/tex] of an arithmetic sequence to the [tex]k[/tex]th term, add [tex](k - 1)\, d[/tex] to [tex]a_{1}\![/tex].

Thus, given an arithmetic sequence with [tex]a_{1}[/tex] as the first term and [tex]d[/tex] as the common difference, the [tex]k[/tex]th term of this sequence would be [tex]a_{k} = a_{1} + (k - 1)\, d[/tex].

In this question, [tex]a_{1} = 1[/tex] and [tex]d = 8[/tex] for this arithmetic sequence. The [tex]16[/tex]th term of this sequence would be:

[tex]\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}[/tex].

A coat usually sells for $62.95. It is on sale for 10% off.
What is the sale price?

Answers

Answer:

Hii, okay so the sale price is $56.66, Hope this helps

Step-by-step explanation:

What is 1 plus 1 in active numbers

Answers

It’s 14

Hoped t helped

What is the value of the y-intercept of the graph of f(x) = e^1-x – 1?

Answers

Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

Please let me know if this is true or false

Answers

Answer:

True hai

hope this help you ^0^

Simplify 5a×3×2b

Write down the answer, please.

Answers

Solution:

[tex]5a \times 3 \times 2b \\ = (5 \times 3 \times 2)ab \\ = 30ab[/tex]

Answer:

30 ab

Hope it helps

ray4918 here to help

Answer:

30ab

Step-by-step explanation:

Given expression,

→ 5a × 3 × 2b

Simplifying the expression,

→ 5a × 3 × 2b

→ (5 × 3)a × 2b

→ 15a × 2b

→ (15 × 2)ab

→ 30ab

Hence, the answer is 30ab.

Which expression is equivalent to this polynomial expression?

Answers

Answer:

Where is the expression

Answer:

Its c :)

Step-by-step explanation:

plato

Evaluate the equation: 3.6/e = 1.2

Answers

hopefully this is correct..

it's either e = 1/3 or 3

Answer:

1/3 or 3^-1

Step-by-step explanation:

please mark me as brainlest

What is your weight on Mars? (g = 3.75 m/s^2)

Answers

mark me brainiest if this helps;


Answer: 50 kilograms

Evaluate.

(2a−13)÷b/15 when a=−2/5 and b=−8.25

Enter your answer as a simplified mixed number in the box

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is  [tex]25\frac{75}{825}[/tex]

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(2a - 13) ÷ b/15

The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25.

= (2a - 13) ÷ b/15

= (2 x (-2/5) - 13) ÷ -8.25 / 15

= (-4/5 - 13 ) ÷ -8.25 / 15

= (-4 - 65) / 5 ÷ -8.25 / 15

= -69/5 ÷ -8.25/15

= -69/5 x -15/8.25

= 69 x 3 / 8.25

= 207 / 8.25

= 20700/825

We will write this in a mixed fraction.

= [tex]25\frac{75}{825}[/tex]

Thus,

The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is  [tex]25\frac{75}{825}[/tex]

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

What is the measure of

Answers

3x=90 2x=50
And the last one is 40

Answer:

30

Step-by-step explanation:

because 3 times 30 is 90,and 2 times 30 is 60 plus 30 would be equal to 180

When converted to a household measurement, 9 kilograms is approximately equal to a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

Answers

Answer:

a) 9000 gam

Step-by-step explanation:

Answer:

a) 9000 grams

Step-by-step explanation:

1 kg=1000 g

9*1000=9000

PLS HELP! Will give brainliest!

Answers

Answer:

yes they are inverses.

a.). x

Step-by-step explanation:

that's all

Solve for x - 5 - 3 * + 1 = - 45

Answers

Answer:

[tex]x = \frac{41}{2} [/tex]

Step-by-step explanation:

x - 5 - 3x + 1 = -45

-2x - 4 = -45

-2x = -45 + 4

-2x = -41

x = 41 ÷ 2

x = 41/2

Step-by-step explanation:

[tex]\tt{}x - 5 - 3x + 1 = - 45[/tex]

[tex]\tt{} - 2x - 4 = - 45[/tex]

[tex]\tt{}- 2x= - 45 + 4[/tex]

[tex]\tt{} - 2x = - 41[/tex]

[tex]\tt{} x = \frac{41}{2} [/tex]

[tex]\tt{}x = 20 \frac{1}{2} [/tex]

If the figure below is a regular polygon, find the value of x.
(9x - 18)

Answers

The value of x is 9(x-2)

Can someone explain this? (This is algebra 1)

Answers

Answer:

x=12

Triangle abc and Def are congruent but different sizes. The original triangle has side values of 2, 6 and 5. Then the shape is dilated by an unknown factor, giving it the side lengths of 4, x, and 10. Looking at the increase in side lengths we see that theres an increase of 2 to 4, or multiplying by 2 and an increase from 5 to 10, or multiplying by to. So now that we know there was a dilation of 2, we multiply 6 by 2 to find 12

What is the x-intercept of this equation: 6x + 2y = -8

Answers

Answer:

4, 0

Step-by-step explanation:

Answer:

[tex](\frac{-4}{3}, 0)[/tex]

Step-by-step explanation:

The x-intercept of any equation is the point where [tex]y=0[/tex].

Aha! We plug in [tex]y=0[/tex] into the equation to get [tex]6x+2(0)=-8[/tex], which gives [tex]6x=-8[/tex], which gives [tex]x=\frac{-8}{6}[/tex] which gives [tex]x=\frac{-4}{3}[/tex].

So, our answer is [tex]\boxed{(\frac{-4}{3}, 0)}[/tex] and we're done!

Other Questions
Which of the following is a reason for a photographer to use a photo waiver and release form?to protect the photographer and the photo subjectto give the subject legal rights to reproduce the phototo create more work for the photographerto give everyone the right to take the photo x^2 - 6x + 1 = 0 by completing the square which units in the metric system are used to measure distance? which continent has the greatest number of impoverished nations in the world? what the power a when 5^a = 1/125 Which diagram or diagrams represent a compound? Plz help I need help You would like to start a club for psychology majors on campus, and you are interested to find out what proportion of psychology majors would join. The dues would be $35 and used to pay for speakers to come to campus. You ask five psychology majors from your senior psychology honors seminar whether they would be interested in joining this club and find that four of the five students questioned are interested. Is this sampling method biased, and if so, what is the likely direction of bias Greg was playing tennis with his friend Tony. Tony suddenly clutched his chest and fell to the ground. Tony was shallowly breathing. After calling 911, Greg performed chest compressions on Tony and waited for the paramedics to arrive. The paramedics were surprised to see Greg performing chest compressions on his friend.Why were the paramedics most likely surprised? the brainliest crown is waiting What was the result of British rule in India?Zulu WarsBoer WarBolsehvik RevolutionSepoy Rebellion given that x is an acute angle and cos x equals to 2 root 5/5 find without using mathematical tables or a calculator tan (90 - x) Help!! I will give brainlest...Read paragraph 3 in the passage. What does the name Warca-Ziwin mean?A. SunflowerB. EarthC. Bounding DeerD. River] Returning from the river, I tugged beside my mother, with my hand upon the bucket I believed I was carrying. I said: "Mother, when I am tall as my cousin Warca-Ziwin1, you shall not have to come for water. I will do it for you." 15.3 Determine the mass of the following: 15.3.1. 2 mol calcium atoms 15.3.2. 0,3 mol nitrogen molecules 15.3.3. 0,5 mol table salt 15.3.4. 0,2 mol hydrochloric acid 15.3.5. 0,08 mol sodium carbonate (Na2CO3)15.3.6. 0,25 mol ammonium sulphate (NH4)2SO4 who is in charge of enforcing the pendleton act of 1883? farmer joe drives a tractor for 4 hours. his tractor is pulling a heavy plow across a rocky field. over the course of 4 hours, is the plow gaining or losing energy? A manager started a meeting with his staff at 9:30.The meeting ended at 10:25.How long did the meeting last guess my age and ill make you brianlest 2007 8 14 In the early 1600s, English colonists in Jamestown based their laws and government on Spanish customs. English customs. Powhatan customs. Plymouth Plantation customs. What is the value of 32.5 4.5 4.5 , written as a decimal?giving brainly 20pens cost #300 and 50pens cost #750(a)is the cost of pens directly proportional to the number of pens?