3. (04.04 MC)
Part A: A graph passes through the points (0, 2), (1, 3), and (2, 4). Does this graph represent a linear function or a non-linear function? Explain your answer in words
Part B: Write one example of a linear function and one example of a non-linear function.. (Use x and y as the variables) (10 points)

3. (04.04 MC)Part A: A Graph Passes Through The Points (0, 2), (1, 3), And (2, 4). Does This Graph Represent

Answers

Answer 1

Answer:

Part A:

The graph passes through (0,2) (1,3) (2,4).

If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2

Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.

Since the slope is constant (the same) everywhere, the function is linear.

Part B:

A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.

An example is  y=2x-3

A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3

A non-linear function contains at least one of the following,

*Product of x and y

*Trigonometric function

*Exponential functions

*Logarithmic functions

*A degree which is not equal to 1 or 0.

An example is...xy= 1 or y= sqrt. x

An example of a linear function is 1/3x = y - 3

An example of a non-linear function is y= 2/3x


Related Questions

For homework, Ari had to find 5% of $900. Did he do the work correctly? A tape diagram. There are 5 parts out of a whole of 100. There are question mark parts out of a whole of 900. StartFraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 EndFraction = StartFraction 18,000 Over 900 EndFraction Are Ari’s calculations correct? No. Ari multiplied the denominators incorrectly. No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction No. Ari should have divided, not multiplied. Yes. Ari’s work is correct.

Answers

Answer:

B

Step-by-step explanation:

i took the test lol

Answer: For homework, Ari had to find 5% of $900. Did he do the work correctly?

A tape diagram. There are 5 parts out of a whole of 100. There are question mark parts out of a whole of 900.

Start Fraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 End Fraction = StartFraction 18,000 Over 900 EndFraction

Are Ari’s calculations correct?

x No. Ari multiplied the denominators incorrectly.

✔ No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction

x No. Ari should have divided, not multiplied.

x Yes. Ari’s work is correct.

Helppp please will give brailiest

Answers

The perimeter is 375 feet.

I dunno, need help!

Answers

it is d,c,b im pretty sure

7. A rectangular lot is entirely enclosed by a fence.
If the lot measures 225 feet long and 165 feet
wide, what is the length, in yards, of the fence?
a. 360
b. 390
c. 260
d. 1,560
e. 2,340

Answers

Answer:

it is 390

Step-by-step explanation:

an excise tax is a tax on what?​

Answers

Answer:

excise taxes are taxes on specific goods like gasoline

Step-by-step explanation:

An excise tax is a legislated tax on specific goods or services at purchase such as fuel, tobacco, and alcohol.

according to college survey, 22% of all students work full time. find the mean for the random variable X, the number of students who work full time in smaples of size 16

Answers

Answer:

[tex]Mean = 3.52[/tex]

Step-by-step explanation:

Given

[tex]Sample\ Size = 16[/tex]

[tex]Proportion = 22\%[/tex]

Required

Determine the mean of the proportion

The mean or expected value of a sample is calculated by multiplying the sample size by the proportion as follows;

[tex]Mean = n *p[/tex]

Where

[tex]n = 16[/tex] -- Sample Size

[tex]p = 22\%[/tex] -- Proportion

So:

[tex]Mean = n *p[/tex] becomes

[tex]Mean = 16 * 22\%[/tex]

Convert 22% to decimal

[tex]Mean = 16 * 0.22[/tex]

[tex]Mean = 3.52[/tex]

Hence, the mean is 3.52

2 x {6 + (12 = (3 + 1)]} – 1

Help please

Answers

Step-by-step explanation:

2×{(6+12)=(3+1)}-1

We will have to solve the ones in the bracket first.

2×{(18)=(3+1)}-1

2×{18=4}-1

So now we remove the brackets

2×18=4-1

36=3

Then we divide both sides by 3

So the final answer is 12

Jenny bought gas for her car. Gas cost $3.45 per gallon. She bought 12.2 gallons for her car. What was the total cost of gas for Jenny's car?

Answers

42.09$ would be the correct answer, you just multiple 3.45 and 12.2 to get this answer

Answer:

42.09

Step-by-step explanation:

3.45 x 12.2 = 42.09 (checked with a calculator)

Use the substitution method to solve the system of equations.
y=-8x HELP
4x - y = 3
A. (6. - 4
ОВ. (3. - 4
C.
D. (1-2)

Answers

Answer:

D. (1/4, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -8x

4x - y = 3

Step 2: Solve for x

Substitution

Substitute in y:                    4x - (-8x) = 3Simplify:                               4x + 8x = 3Combine like terms:           12x = 3Isolate x:                              x = 3/12Simplify:                               x = 1/4

Step 3: Solve for y

Define equation:                    y = -8xSubstitute in x:                       y = -8(1/4)Multiply:                                  y = -2

parallel to the line y=2/5x+4 passes through (7,6); write in point-slop form

Answers

Answer:

85555555555555555

Step-by-step explanation:

PLZ HELP

I will give brainliest

Which expression is equivalent to 7(n+5)

A.35n
B.n+35
C.12n
D.7n+35

PLEASE HELP

Answers

Answer:

D. 7n+35

Step-by-step explanation:

Find the mean of this set of values
15 8
12 14 10 13
The mean value is:​

Answers

Hey there!

Basically the mean is the average of your given set that you have!

Here is your formula:

mean = SUM of each over your terms DIVIDED BY NUMBER of terms

“15, 8, 12, 14, 10,13”

SUM = addition

15 + 8 + 12 + 14 + 10 + 13

15 + 8 = 23

23 + 12 + 14 + 10 + 13

23 + 12 = 35

35 + 14 + 10 + 13

35 + 14 = 49

49 + 10 + 13

49 + 10 = 59

59 + 13 = 72

72 / NUMBER OF TERMS

Number of terms: 6

72 / 6 = 12

Thus your answer your answer: 12 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Solve the system of linear equations by elimination. Check your solution.

Answers

Answer:

x = 3

y = -1

Step-by-step explanation:

(x-y) + (x+y) = 4 + 2

2x = 6

x = 3

sub x=3 into x+y=2

3+y=2

y=2-3

y=-1

Check by subbing x=3 and y=-1 into x-y=4

(3)-(-1) = 3+1 = 4

What is this? Please answer with an explanation

Answers

Answer:

5

Step-by-step explanation:

1. in order to calculate all the required values, it needed to solve:

[tex]\sqrt{x-5} \geq 0; \ <=> \ x\geq 5.[/tex]

2. x≥5 means, that x∈[5;+∞), where beginnig is '5'.

Which of the following values represents (f^-1)'(-1/8) where f(x) = (3x - 1)^3?

A. -1/2
B. 4/9
C. 9/4
D. 1/6
E. -1/6

Answers

Answer:

Answer:A.

x f(x)

-2 4

-1 1

0 0

1 1

2 4

B.

x f(x)

1 6

2 7

3 8

4 9

5 10

C.

x f(x)

-2 -3

-1 -1

0 1

1 3

2 5

D.

x f(x)

1 3

2 6

3 9

4 12

5 15

Step-by-step explanation:

The required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

What is implicit differentiation?

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

Here,
Let f(x) = y
Given function,
y = [3x -1]²
The inverse of the above function is given as,
f⁻¹(x) = [∛x + 1]/3
Differentiate the above inverse function,
[f⁻¹(x)]' = 1/[9x²/³]
Substitute x = 1/8
[f⁻¹(1/8)]' = 1/[9(1/8)²/³]

[f⁻¹(1/8)]' = 4 / 9

Thus, the required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

Learn more about implicit differentiation; https://brainly.com/question/11887805

#SPJ2

An antelope can run at a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth.

3 ft = 1 yd

Answers

Answer:

0.01

Step-by-step explanation:

there is a total of 3,600 seconds in an hour so then u just devide 61 miles by 3,600 and get 0.01694444, round that to the nearest hundreth and you get 0.01


Write the number five million four thousand three hundred in standard form.

Answers

Answer:

5,004,300

Step-by-step explanation:

Fractions can be converted to percents. For example, 4/8 can be expressed as 50%. Write 6/8 as a percent.

Answers

Answer: 75%

Step-by-step explanation: First, you have to divide the numerator (6) by the denominator (8), which equals 0.75 in this case. Then you have to multiply the decimal (0.75) by 100. So you get the answer 75%.

Ethan buys a video game on sale. If the video game usually costs $49.99, and it was on sale for 30% off.​

Answers

Answer:

$34.99

Step-by-step explanation:

49.99 - 14.997=

34.99

Answer:

the answer is 34.99

if you want me to explain i will ")

a square field is 30m long find its perimeter​

Answers

Answer:

90m

Step-by-step explanation:

long sides are 30 each and the top sides are 15 each

Area of the outer square
=30
2
+256=900+256
=1156=(34)
2

∴ Side of the outer square =34=30+2x
∴ x=2 where x is the width.

Please help quickly, it would be really appreciated.

Answers

Answer:

ASA

Step-by-step explanation:

The triangles are congruent by ASA.

PLEASE HELP ME WITH THIS QUESTON 19 THE TABLE IS NEXT TO IT

Answers

Answer:

11.8 miles on 0.1 gallons of fuel

1180 miles on 10 gallons of fuel

Step-by-step explanation:

Answer:

row 1: 0.1 gallons = 11.8 miles

row 3: 10 gallons = 1180 miles

Step-by-step explanation:

if 1 gallon = 118 miles, you can use the 118 and multiply o.1 or 10.

WILL GIVE BRAINLIEST pls help

Answers

i’m answering for points and so the other person can get brainliest lol

-4 1/4 as a decimal number HELP!!!

Answers

Answer:

-4.25

−4 1/4 = −4 +1/4

= −4/1+1/4

=(−4/1×4/4)+1/4

=−16/4 + 1/4= −17/4

So, -17 divided by 4 equals

-4.25

Find the PE ratio. Round to the nearest whole number.

Stock: Crown
Current Price per Share: $32.59
Annual Net Earnings per Share: $9.06

Answers

Answer:

4

Step-by-step explanation:

The current price per share is $32.59

The annual net earnings per share is $9.06

Therefore the PE ratio can be calculated as follows

= $32.59/$9.06

= 3.59

= 4 (to the nearest whole number)

Hence the PE ratio is 4

3(2x-4y) +14-2y=5x
solve for y. pls help this is the 3rd time asking & no silly answers! i need help pls!

Answers

Answer:

y=x/14+1

Step-by-step explanation:

3(2x-4y) +14-2y=5x

6x-12y+14-2y=5x

6x-14y+14=5x

x+14=14y

x/14+1=y

And dude I feel ur pain no one is responding to my questions :(

73% of 250 Question 4: What strategy would you use to find the percent? (Hint: "per" = division "cent" = 100) Per cent f 1 lod​

Answers

Answer:

73% of 250 is 182.5

Step-by-step explanation:

Divide 73 by 100

73/100=.73

Multiply .73 by 250

.73*250=182.5

Each side a square playpen is 3 feet long. What is the playpen's area?

Answers

34ft squared is the answer

Answer:

It is 36ft squared

Step-by-step explanation:

Hope this helped have an amazing day!

Flaws in concrete beams follow a Poisson process. Beams fabricated by process A have flaw rates of 10/meter while beams fabricated by process B have flaw rates of 5/meter. From a yard containing equal numbers of process A and process B beams one beam is selected at random and a 1-meter length of the beam is inspected. If 8 flaws are found what is the probability the inspected beam was fabricated using process A?

Answers

Answer:

P(A | Y = 8) =  0.633

Step-by-step explanation:

It is really a simple and interesting question, as it involves the Poisson distribution and probability.

First of all, let's try to understand the problem statement clearly. It says that there are two process by which beams are made, namely A and B.

It further states that, beam made by process A has = 10 flaws per meter.

Beam made by process B has = 5 flaws per meter.

Finally, it says that from a yard containing equal numbers of process A and process B beans, one beam is randomly selected and 1 - meter of it is inspected. And they have found 8 flaws in it.

We now, have to find out the probability that the inspected beam is from process A.

For this,

Let's suppose, Y is no. of flaws

So,

P (Y=8|A) = [tex]\frac{e^{-10}. 10^{8} }{8!}[/tex]

where , e = Euler's Constant = 2.71828

P (Y=8|A) = 0.11

Similarly for process B

P (Y=8|B) = [tex]\frac{e^{-5}. 5^{8} }{8!}[/tex]

P (Y=8|B) = 0.06

As, we know from the problem statement that there are equal numbers of process A and process B beams.

So, the probability of A = Probability of B = 0.5

P(A) = 0.5

P(B) = 0.5

We need to find, P(A|Y=8) and for this we need to find the P(Y=8) first.

Using the law of total probability:

P(Y=8) =  P(Y = 8 |A) P(A) + P(Y = 8|B) P(B)

Plug in the values:

P(Y=8) = (0.11 x 0.5) + (0.06 x 0.5)

P(Y=8) = 0.088

Now, by applying Bayes Theorem, we can find the required probability:

P(A | Y = 8) = P(Y = 8 | A) P(A) / P(Y = 8)

8 flaws are found, the probability the inspected beam was fabricated using process A is :

P(A | Y = 8) = 0.11 x 0.5 / 0.088

P(A | Y = 8) =  0.633

Furthermore,

8 flaws are found, the probability the inspected beam was fabricated using process B is :

P(B | Y = 8) = 1-P(A | Y = 8)

P(B | Y = 8) = 1 - 0.633

P(B | Y = 8) = 0.367

Which postulates can be used to prove congruence? All that apply?

Answers

Answer:

SSS, SAS, ASA, AAS, (HL)

Step-by-step explanation:

HL is also one, but that isn't an option so ye

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