Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept

x y
0 4
2 9
4 14
6 19
8 24

Answers

Answer 1

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct


Related Questions

The diameter of each circular hole in a paint palette is 42 millimeters.
Find the circumference of each hole. Use 3.14 as an approximation for .
A 128 millimeters
B 131.88 millimeters
C 120 millimeters
D 42 millimeters

Answers

Answer:

B

Step-by-step explanation:

The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88

Answer:

B

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius (half the diameter).

2r is then the diameter.

so, in our case the circumference is

42×pi = 42 × 3.14 = 131.88 mm

1^12 multiplied by 3,268,584

Answers

Answer:

3,268,584

Step-by-step explanation:

1^12 is 1

Jason rolls the die 14 times. What is the experimental probability that he will roll a 2

Answers

There’s 14 rolls. The probability he lands on a 2 would be 2/14. Once you simplify it it would give you a probability of 1/7

The experimental probability that Jason will roll a 2 is 3/14.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, Jason rolls the die 14 times.

From the given table,

Number of favorable outcomes = 3

Total number of outcomes = 14

So, the probability = 3/14

Therefore, the experimental probability that Jason will roll a 2 is 3/14.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?

A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L

No dam links

Answers

Answer:

207,314

Step-by-step explanation:

V = πr2h =π  · 52·3 ≈ 235.61945 m^3

because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.

235.62 - 27.535  is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.

Find the measurement of the angle labeled X


PLEASE IM REALLY BAD AT THESE QUICK!!!!!!!!!!!!!

Answers

Answer:

b.

42+x+90+8=180° linear pair

x=180-140=40°

x=40°

c.

10+x+90+3x=180 linear pair

4x=180-100

x=80/4=20

x=20°

Jonathan went shopping for a new pair of pants. Sales tax where he lives is 4.75%. The price of the pair of pants is $20. Find the total price including tax. Round to the nearest cent.

Answers

Answer:

20.95$

Step-by-step explanation:

To find the total price we need to find 4.75% of the 20 and to do that we need  to multply 20 with 4.75 and divide it by 100

20 × 4.75 ÷ 100 = 0.95

20$ + 0.95$ = 20.95$

evaluate: (_1_i)^(5/3)​

Answers

Answer:

(

1

)

(

5

/

3

)

Step-by-step explanation:

amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account

Answers

For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.

Your information:
I = (870)(0.08)(5)
I = 348

Add the interest to the principal for your total balance

348 + 870 = $1218 will be the total balance in the account.

According to a survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five. a. What is the probability of receiving no e-mails during an hour (to 4 decimals)

Answers

Answer:

the probability is 0.0067

Step-by-step explanation:

The computation of the probability of receiving no e-mails during an hour is shown below;

Let us assume x be the number of emails received during an hour

Now the probability of receiving no e-mails is

= e^-5 × 5^0÷ 0!

= e^-5 × 1  ÷ 1

= e^-5

= 0.00674

= 0.0067

Hence, the probability is 0.0067

Find f(-3) if f(x) = x 2.
A) 6
B-9
C)9
D-6

Answers

Answer: f(-3)=(-3)^2

f(-3)=9

the answer is C

Step-by-step explanation:

What is the total surface area of a rectangular prism whose net is shown 19 in. 17in. 6.in.

Answers

Answer:

1078in

Step-by-step explanation:

Surface area =2(wl+hl+hw)

2·(17·19+6·19+6·17)=1078in

........................................................................................
Solve
........................................................................................

Answers

Answer:

10 - 15%

Step-by-step explanation:

Just guessing

ugriuhgi5ughoiruhr PLEASE HELP 10 POINTS!

Answers

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

1413 A B 1 1 1 2 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost

Answers

Solution :

It is given that a large institution is preparing food menus which contains foods A as well as B.

Each lunch provides :

10 units of carbohydrates

6 units of fats

7 units of proteins

The food from A cost = $0.12 per ounce

And food from B cost = $0.08 per ounce

Objective function :

[tex]$C= 0.12x+0.08y$[/tex]

Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]

Domain : [tex]$3 \leq x\leq 7$[/tex]

Range : [tex]$0\leq y\leq4$[/tex]

A student invested 1300 in account that pays 4% annual compound interest. He will not make any additional deposits or withdraws. How much will he have in the account at the end of five years?

Answers

Year 1: $1300x0.04= $52 + $1300 = $1352
Year 2: $1352x0.04 = $54.08 + $1352 = $1406.08
Year 3: $1406.08x0.04 = $56.24 + $1406.08 = $1542.62
Year 4: $1542.62 x 0.04 = $61.70 + $1542.62= $1604.32
Year 5: $1604.32 x 0.04 = $64.17
The Student will have $1668.14 at the end of 5 years. I broke it down by year I hope this helps

The sales rate is 8%. If Janelle buys a gymnastics mat priced at $87 , how much tax will she pay?

Answers

Answer: $6.96

Step-by-step explanation:

To find out what 8% of $87 is, you have to convert the 8% into decimal form which is 0.08. Then you have to multiply  that by $87

87*0.08 = 6.96

Now, we know $6.96 is 8% of $87 which is how much she will be paying in tax

please help asap ! no scam links or scam comments for points or reported.

Answers

Answer:

C

Step-by-step explanation:

it is -25x    X= each time he goes rock climbing


What is the area of the parallelogram
shown above?
[?] square feet

Answers

Answer:

299 square feet

Step-by-step explanation:

Area of a parallelogram = base × height

Base = 23 ft

Height = 13 ft

Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.

Area of the parallelogram shown = 23 × 13

Area = 299 ft²

Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $53.75, including a $7 delivery fee.

Part A

Which equation will help you find x, the number of boxed lunches Janie ordered?
a 4.25x = 60.75
b 4.25 + 7x = 53.75
c 4.25x + 7 = 53.75
d 4.25(x + 7) = 53.75

Part B

Solve the equation from Part A to find x.

x = _____

Answers

Answer:

Part A: c. 4.25x+7=53.75

Part B: 11

Step-by-step explanation:

4.25x+7=53.75

4.25x=46.75

x=11

A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Compute a 99% confidence interval for the proportion of unemployed heads of households in the population. Round to three decimal places. (make sure to type a zero in front of the decimal place ie. 0.1 vs .1 otherwise your answer will be marked incorrect) Lower limit

Answers

Answer:

99% Confidence interval is given as;

Lower Limit = 0.062

Upper Limit = 0.130

Step-by-step explanation:

Given the data in the question;

x = 48

n = 500

sample proportion p = x/n = 48/500 = 0.096

with 99% confidence

significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01 / 2 = 0.005

Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex]  = 2.576

Now,

Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]

we substitute

SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]

SE = √[ (0.096 × 0.904) / 500  ]

SE = √[ 0.086784 / 500 ) ]

SE = 0.0131745

so

Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE

E = 2.576  × 0.0131745

E = 0.0339

Now 99% confidence interval will be

⇒ 0.096 ± 0.0339

⇒ (0.096 - 0.0339, 0.096 + 0.0339 )

⇒ ( 0.062, 0.130 )

Lower Limit = 0.062

Upper Limit = 0.130

a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?

what’s the answer in miles?

PLEASE HELP ME OMG!!!

Answers

Answer:

The vehicle can drive 450 miles.

Step-by-step explanation:

You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.

Answer:

450 miles

Step-by-step explanation:

By 20 gallons,the car travels 300 miles

by 1 gallon, car travels 300÷ 20 miles

By 30 Gallons, car travels: (300÷20 )×30

450miles

An exam has 40 multiple-choice questions, each with 5 choices. Only 1 of the 5 choices for each
question is correct. If you used a table of random digits to randomly choose your answer on all
questions, about how many answers would you expect to get correct?
Select one:
O
a. 40
O
b. 0
0
C. 20
d. 8
e. 5

I will give a brilliant if the answer was correct
Please helppp​

Answers

Answer:

D.8

Step-by-step explanation:

Since your chance of success is only 1 out of 5 or rather, 20%, so

40 divided by 5 equals 8, so the answer is D.

(Of course, this is just what SHOULD happen, not what CERTAINLY can happen.)

Expected number of answers to be correct = 8.

What is probability?

Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.

Probability (Event) = Favorable Outcome/Total Outcome = x/n  

Given,

Number of questions = 40

One of 5 choices is correct

then, probability of getting correct option = 1/5

Number of correct answers = 40 × 1/5 = 8

Hence, 8 answers are expected to be correct.

Learn more about probability here:

https://brainly.com/question/30034780

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Please help givin brainliest

Answers

Answer:

Answer H

Step-by-step explanation:

the answer i think is


H

You earn $86,000 the first year you graduate from college with a master's degree in chemical engineering. If you should be saving 25% of your gross pay, how much should you save?
A. $21,500
B. $64,500
C. $18,300
D. $12,400

Answers

If 86,000 is annual gross income then,

$86,000. 100%
$x. 25%
x=86000•25/100
x=21,500$
Answer is A

What is the volume of a sphere with the diameter = 10 cm and the height = 200 cm ​

Answers

the equation is volume = 4/3 * pie * r3
the answer is 4,188.8 cubic centimeters

8,782 divided by 2 can you please explain me the process so i can do it

Answers

Answer:

4,391

Step-by-step explanation:

next time use a caculator luv <3

Answer:

4,391

Step-by-step explanation:

You can start of by multiply 100's by 2 and keep going until you get close to 8,782 then start going down some numbers till you get 8,782.

Find the area of the composite figure?

Answers

Answer:

400

Step-by-step explanation:

25*35=700

10*30=300

700-300=400

The answer to your question is four hundred

Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)

DO NOT SEND ANY LINKS.

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

0.5

Step-by-step explanation:

If y = -4, then we must replace every variable y with the number 4. So, let's do that.

2/-4 + 1/2*(-4 + 6)

All we have to do now, is simplify. Parenthesis first...

2/-4 + 1/2*2

We can replace the 1/2*2 with 2/2 because they are the same thing.

2/-4 + 2/2

Now, solve from left to right.

-0.5 + 1 = 0.5

Therefore, the answer is equal to 0.5. Hope this helps!

help me please and answer correctly people answer wrong on purpose ​

Answers

Sorry for not answering your question but please I am telling you guys don’t fall for someone when they send you links here like this first person above me he send a link don’t press it y’all don’t this is really bad it makes your phone really bad

perimeter 254 meters and dimension measures 6 meters​

Answers

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

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