What is the equation of the line through the points (1, 1), (5, 4), (9, 7) and (13, 10)? y=3/4x+1/4
y=4/3x+1/3
y=3/4x−1/4
y=4/3x−1/3
Please help

Answers

Answer 1

Answer:

y = 3/4 x + 1/4

Step-by-step explanation:

line through the points (1, 1), (5, 4)

slope (m) = (4 - 1) / (5 - 1) = 3/4

y = mx + b       b = y - mx   ... for point (1 , 1)

b = 1 - 3/4 = 1/4

Line: y = 3/4 x + 1/4

check for point (9 , 7):     3/4 * 9 + 1/4 = 28/4 = 7


Related Questions

Hey guys help me with this question plzzzzzz​

Answers

Answer:

625 cm³ and 64000 cm³

Step-by-step explanation:

Given

x = [tex]\sqrt[3]{V}[/tex] ( cube both sides )

x³ = V

(a)

x = 25 cm , then

V = 25³ = 625 cm³

(b)

x = 40 cm , then

V = 40³ = 64 000 cm³

Yorkeuri has a cake that weighs 80 ounces. How many pounds does the cake weigh? *

Answers

Answer: 5 pounds

Step-by-step explanation:

80 / 16 = 5

Answer:

5 pounds

Step-by-step explanation:

Hope this helps!

You decide to make lasagna for dinner. The baking dish in the shape of a rectangular prism measures 13 inches by 9 inches by 2 inches. What is the volume of the container?

Answers

Volume = 13in * 9in * 2in = 234in³.

Answer:

234 inches³

Step-by-step explanation:

Formula for volume of a prism = [tex]L \times W \times H[/tex] (L = length, W = width, H = height)

[tex]\therefore[/tex] volume for baking dish = 13 × 9 × 2

                                          = 234 inches³

Hope this helps :)

The lines graphed below show the amounts of water in two tanks as they were being filled over time.For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes. If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer.
3 points

Answers

Answer: Tank B is proportional because tank A doesn't work because it doesn't go through (0,0) but if it was y=kx, then it would have to go through (0,0), since 0=k*0. For tank b k is 300.

I got 100 for this so gl

The relationship between time and the volume of water in Tank B is proportional.

What is a line graph?

A line graph is a type of graph where the data points are connected by segments of straight lines.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a line graph shown in the picture.

As we know,

Variables in a linear function will be proportionate if it passes through the origin.

y = mx + b

b is y-intercept = 0

y = mx

The relationship between time and the volume of water in Tank B is proportionate since the straight line passes through the origin.

Thus, the relationship between time and the volume of water in Tank B is proportional.

Learn more about the line graph here:

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jasmine deals 2 cards. whats the probability of dealing 2 hearts in a row if she didn't replace the card after it was dealt?

WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Assuming the deck is shuffled well and the dealings are random, the answer is the probability she deals a heart on the first dealing * the probability she deals a heart on the second dealing given she dealt a heart on the first dealing. Since we are sampling without replacement we need to include this given part. The answer is in the image :) apologies for bad handwriting but answer is .0588 or a 5.88% chance

90% of the workers are men. If 590 people work for the company who aren't men, how many workers are there in all?

Answers

Step-by-step explanation:

do 590 divided by 90 if that doesn't work multiply it

I PROMISE I WILL MARK AS BRAINLIEST please i want an answer
in the unit circle whose center is (o)if the length of the arc BC =1/3π , then sec (∠BOC) =

Answers

Answer:

Answer is = 1

Step-by-step explanation:

Hope it's answered you

Answer:

nice

Step-by-step explanation:

what is 1.75 divided by 7

Answers

Answer:

0.25

Step-by-step explanation:

1.75/7 would equaln0.25, use your calculator if you have one

The decimal 1.75 when divided by the number 7 gives the decimal 0.25.

In mathematics, a decimal is a base-10 numeral system applied to characterize real numbers. It's known as "decimal" because it uses ten dissimilar symbols, videlicet the digits 0 through 9, to portray all achievable values. The decimal system is the most generally used numeral system in day-to-day life.

The decimal system works on a positional memorandum principle, where each digit's position determines its value within the number.

The decimal 1.75 can be written as a fraction as follows:

[tex]1.75 = \dfrac{175}{100}[/tex]

      [tex]= \dfrac{7}{4}[/tex]

To divide 1.75 by 7, let's divide [tex]\dfrac{7}{4}[/tex] by 7.

[tex]\dfrac{7}{4} \div 7\\= \dfrac{7}{4} \times \dfrac{1}{7}\\= \dfrac{1}{4} \times 1\\= \dfrac{1}{4}\\= 0.25[/tex]

Thus, 0.25 is 1.75 divided by 7.

Learn more about Decimal here:

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Help needed ASAP plzs .....

Answers

X is 1 y is 8 hope this helped

i need help i dont understand​

Answers

Answer:

D. 1/3^3

Step-by-step explanation:

Divide 3/3 as usual and get 1.

When dividing exponents, you are actually subtracting them. 5-8 = -3.

D is the answer because positive exponents in the denominator of the fraction is the same as a negative exponent in the numerator.

The rule with exponents is that when dividing similar bases with different exponents (or power), you subtract the exponents respectively.

3⁵ / 3⁸ = 3⁽⁵ ⁻ ⁸⁾ = 3⁻ ³ = 1 / 3³

So the answer is

D) 1/3³

0.5 is equivalent to what rational number?

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

It’s equivalent to 1/2

What is the value of cos(4pi/3)

Answer: B.-1/2 on edg

Answers

Answer:

Answer: B.-1/2

Step-by-step explanation:

Hope it helps
Here is the answer
-1/2

whats the answer giving brainliest MATH

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

D i believe

Step-by-step explanation:

hope this helped!!!

-BB

1) If you are driving 75 MPH and you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seconds? explain you're answer, pls !​

Answers

Answer:

0.125 feet

75/60 to get minutes

0.02/60 to get seconds

multiply by 6

Step-by-step explanation:

660 feet. 75 mph /60 to get minutes which equals 1.25. They travel 1.25 miles every minute. To fond second you would do 1.25/60 since there are 60 seconds in a minute. You get 0.020... that’s how much of a mile they travel per second. Multiply by 6 to figure out how much of a mile within 6 seconds which is 0.125 miles (not feet). Then you convert this to feet. There are 5280 feet in a mile so you multiply that by the amount of miles which is 0.125 which equals 660 feet. They traveled 660 feet within those 6 seconds of sneezing and looking away from the road. Answer above almost got it but forgot to convert to feet.

y^3-8y^2+19y=12
Solve​

Answers

Answer:

Step-by-step explanation:

steps are below

step 1

y^3-8y^2+19y=12  equation

step 2

y^3-8y2+19y(-12)=12(-12)  minus 12 from both sides

y^3-8y^2+19y-12=0

step 3

(y-1)(y-3)(y-4)=0  add brackets

step 4

(y-1)(y-3)(y-4)=0  factor

step 5

y-1=0 or y−3=0 or y-4=0  set them equal

Answer:

y=1 or y=3 or y=4

There are 91 days until the craft sale. Autumn needs to make 817 rings before the sale. She wants to make about the same number of rings each day. About how many rings should she make each day? Explain how Autumn can use compatible numbers to estimate

Answers

Answer:

9 rings

Step-by-step explanation:

Given that :

Number of days until craft sale = 91 days

Number of rings required to make before sale = 817 rings

If same number of rings is made per day;

Number of Daily ring production will be ;

817 / 91

= 8.978 rings

= 9 rings (approximately)

What Is the solution for the equatlon 6x - 8 = 4X? X=
(Input whole number only).

Answers

Answer:

x = 4

Step-by-step explanation:

6x - 8 = 4x

-6x       -6x

-8 = -2x

-----------

    -2

x = 4

Solve the system by elimination. {2x+y=13x−y=−4 A. (3, 7) B. (2, 6) C. (4, 8) D. no solution

Answers

Answer:

A

Step-by-step explanation:

Given the 2 equations

2x + y = 13 → (1)

x - y = - 4 → (2)

Add the 2 equations term by term to eliminate the y- term, that is

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

2(3) + y = 13

6 + y = 13 ( subtract 6 from both sides )

y = 7

solution is (3, 7 ) → A

Answer:

Step-by-step explanation:

2x+y=13

x - y =-4 lets add both equations

3x=13-4

x=9/3    ,   x=3

3-y=-4,   y=7

choice A

Write an equation for the proportional relationship shown in the table.
x 0.5
1
1.5
2
y
19
38
76
57
y= x

Answers

9514 1404 393

Answer:

  y = 38x

Step-by-step explanation:

The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...

  y = kx

  y = 38x

What would be the domain and range

Answers

Answer:

the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

solve for the number
18 is 9% of what number?​

Answers

The answer is 50 hope this helps you!

Answer: 200

Work: I just did 18 x 100 divided by 9, and you get the number. 18 x 100 = 1800, and I divided it by 9, and I got 200. I checked it by doing 200 x .09 (Percentage) and I had gotten 18. (Check) I hope this helps, and happy Holidays! :)

The diameter of a small pizza is 16 centimeters this is 2 centimeters more than two fiths of the diameter of a large pizza find the diameter of the large pizza

Answers

Answer:

35 cm

Step-by-step explanation:

Diameter of small pizza = 16

Let Diameter of large pizza = x

Diameter of small pizza = 2/5(x) + 2

2/5(x) + 2 = 16

(2x / 5) + 2 = 16

2x / 5 = 16 - 2

2x / 5 = 14

multiply both sides by 5

2x = 14 * 5

2x = 70

Divide both sides by 2

x = 70/2

x = 35

Diameter of large pizza = 35 mm

A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for
the service to clean a certain number of square feet within a home.
Square Feet and Cleaning Time
80
Nurnber of Square
50
100
150
Feet, x
Time in Minutes,
32
40
60
Based on the table, how many minutes would it take for the service to clean 200 square feet?
O 20 minutes
O 80 minutes
O 125 minutes
O 400 minutes

Answers

80 minutes. Because if it takes 40 minutes to clean 100 square feet if you multiply that by 2 you get 80 minutes.

Hope this helps!

Given f(x)=2x²+2x-4, which is correct?
A) f(0)=0
B) f(-1)=4
C) f(b+1)=2b²+6b-4
D) f(a)=2a²+2a-4​

Answers

Answer:

Option D: f(a) = 2a²+2a-4 is the correct answer.

Step-by-step explanation:

Given that:

f(x)=2x²+2x-4

We will check the function at the given value;

A. f(0)

Putting x=0 in given function

f(0) = 2(0)²+2(0) - 4

f(0) = 0+0-4

f(0) = -4

B. f(-1)

Putting x=-1

f(-1) = 2(-1)²+2(-1)-4

f(-1) = 2(1) -2-4

f(-1) = 2-6

f(-1) = -4

C. f(b+1) = 2b²+6b-4

Putting x=b+1

f(b+1) = 2(b+1)²+2(b+1)-4

f(b+1) = 2(b²+2b+1)+2b+2-4

f(b+1) = 2b²+4b+2+2b+2-4

f(b+1) = 2b²+6b

D. f(a) = 2a²+2a-4

Putting x=a

f(a) = 2(a)²+2(a)-4

f(a) = 2a²+2a-4

Hence,

Option D: f(a) = 2a²+2a-4 is the correct answer.

The number of gifts Nikki can wrap varies directly with the the amount of time she spends wrapping them. She can wrap 14 gifts in 2 hours. How many gifts can she wrap in 6 hours?

Answers

Answer:

42 gifts.

Step-by-step explanation:

14/2=7

7*6=42

Andre ran 2 km in 15 minutes Jada ran 3 km in 20 minutes did they run at the same speed?

Answers

Answer:

No

Step-by-step explanation:

Speed = Distance/Time

andre: 2km/15min = 4.97097

jada: 3km/20min = 5.59234

jada ran faster

can someone please help me im struggling on this one

Answers

Answer:

Equation: 32° + 30° + x° = 180°Solved: x = 118°

Step-by-step explanation:

3 angles = 180°32° + 30° + x° = 180°62° + x = 180°Subtract 62 from each side, so it now looks like this: x = 118°So, x is 118°

I hope this helps!

Tax is paid on meals in a restaurant.
The price of a meal is $65.35 this includes the tax of $11.45.
What is the percentage tax?

Answers

Answer:

17.52%

Step-by-step explanation:

65.35/11.45 = 0.1752

.1752 * 100

= 17.52

Determine if this is a valid statistical question: What proportion of New Jersey residents would choose vanilla as their favorite ice cream flavor? *

Answers

it is not a valid statistical question

A coat is on sale for $76 tax is 8% what is the amount of tax

Answers

Answer:

$6.08

Step-by-step explanation:

8% = 0.08

76 × 0.08

= $ 6.08

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Which of Millers plays won the Pulitzer Prize and the New York Drama Critics Circle Award? Pls help Need this by end of class _______ I was terrified at the thought of flying in an airplane. Then I flew to San Diego to visit my Aunt Catherine. Next, we took a flight to Denver. That was when we visited Estes Park. After having flown several times, I overcame my fright. Which word or words best fit in the blank? Connor used 2/3 inch of wire to make a small hook. How many hooks can he makewith 16 inches of wire? PLEASE HELP I WILL GIVE BRAINLIEST AND THANKS IF CORRECT!!!!Which table does not represent a proportional relationship?A 2-column table with 3 rows. Column 1 is labeled x with entries 9, 6, 3. Column 2 is labeled y with entries 3, 2, 1.A 2-column table with 3 rows. Column 1 is labeled x with entries 16, 18, 20. Column 2 is labeled y with entries 4, 4.5, 5.A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4.A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 10, 14, 18.Random answers shall be reported Which of the following describes the polarity of water?A. Water is a polar molecule but does not show polarity B. One side of water molecule is slightly positive and the other side is slightly negative C. Water is not a polar molecule D. The polarity of water molecule is due to electrons spending more time around the hydrogen atom than the oxygen atom Please help! Please and thank you!!! The above map shows Electoral College votes based on 2000 Census data. What do the numbers on this map represent? In the Electoral College system, what targets must be met by a presidential candidate in order to win the election? Joshua is making spaghetti and meatballs for dinner for his friends. Joshua makes 30 meatballs. If Joshua wants 5 meatballs on each plate of spaghetti, how many plates can Joshua make? Write an equation to represent the scenario, and solve. How do I find out what f(x) is if the graph defines h(x) A letter to your pen friend about your likes and dislikes Jacobs Company has warrants outstanding, which are selling at a $3.00 premium above intrinsic value. Each warrant allows its owner to purchase one share of common stock at $26. If the common stock currently sells for $30, what is the warrant price? (Round your answer to 2 decimal places.) $11.00 $7.00 $8.00 $10.00 Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies. How much of the chocolate chips will she use in each batch of cookies? An author wants to indicate that one of hischaracters stops speaking without finishing histhought. He should useSelect one:1)an ellipsis2)a comma3)a period4)both an ellipsis and a dash could be appropriate Which statements accurately explain why the Renaissance began in the Italian city-states? (Pg. 37) a. Renaissance Italy was a patchwork quilt of city-states. Many were centers of ______________ and _____________. b. Most of the cities lay in northern Italy, surrounded by _______________ of the ancient ______________ _________________. c. Many wealthy Italians financed art, architecture, humanist ideas, literature, and learning Please help pleaseeeee Evaluate each expression. 9 5 + 3 4 Agriculture had an advantage over hunting and foraging because it:A:Required less labor than hunting and foragingB:Improved the regularity and efficiency of food suppliesC:Allowed for greater mobility in how many ways 5 passengers can sit in a compartment having 16 vacant seats The goal of the first continental Congress was to A draft the declaration of independence from British crown B establish a colony government to rival the king C develop a plan for undermining the decision of the king D state the concern of colonist to the king