HELP ME!
A line passes through the points (5,16) and (7,18) Write a linear function rule in terms of x and y for this line.

Answers

Answer 1

Answer:

y=x+11;

Step-by-step explanation:

Let's say the direct equation is y=kx+b;

Plug in the two points to get the system:

[tex]\left \{ {{16=5k+b} \atop {18=7k+b}} \right.[/tex]

So k is equal to 1, b is equal to 11,

so y=x+11;


Related Questions

Helppp on mathhh pls it’s due tomorrow

Answers

Answer:

1. 20 km

2. 0.5 hours

3. 40 km

4. 1.5 hours

5. A, 40 km/hr

6. 80 km/hr, 40 km/hr

Step-by-step explanation:

2. The lines of Car A and Car B at 0.5 hours, meaning the cars have been traveling for 0.5 hours before they met.

1. From 0 hours to 0.5 hours, Car A traveled from 20 km to 40 km. The distance traveled before Car A met Car B was 40 km - 20 km = 20 km.

3. Cars A and B travel at the same speed starting at the 0.5 hour, 40 km point. They are traveling at the same speed from 0.5 hours to 1.5 hours since they share the same line and therefore the same slope. From the point at which Cars A and B met, they traveled from 40 km to 80 km. They traveled at the same speed for 80 km - 40 km = 40 km.

4. Both cars reached point C at the same time of 1.5 hours.

5. Car A had constant speed sicne the lines "Car A" and "Cars A and B" had the same slope. The speed is equal to the slope of the line: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-20}{1.5-0} = 40 km/hr[/tex]

6.

First speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{40-0}{0.5-0} = 80 km/hr[/tex]

Second speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-40}{1.5-0.5} = 40 km/hr[/tex]

round 49.07583 to the nearest place value given; tenth, hundredth, thousandth ten-thousandth, unit?

Answers

Answer:

tenth- 49.1

Hundredth- 49.08

thousandsths- 49.076

ten-thousandths- 49.0758

Also you have to like multiply all of the numbers or sum.

Answers

Answer:

174 m^2

Step-by-step explanation:

9 * 5 = 45

9 * 5 = 45

9 * 3 = 27

9 * 3 = 27

5 * 3 = 15

5 * 3 =15

45+45+27+27+15+15 = 174 m^2

Hope this is helpful.

Answer:

174 m²

Step-by-step explanation:

9 * 5 = 45 (that's the bottom and top areas)

9 * 3 = 27 (that's both the bigger sides areas)

5 * 3 = 15 (that's both the smaller sides areas)

Now  you have to double:

45 * 2 = 90

27 * 2 = 54

15 * 2 = 30

Now sum:

90 + 30 + 54 = 174

Jill invests $7,972 in a retirement account with a fixed annual interest rate compounded continuously. After 15 years, the balance reaches
$16,876.72. What is the interest rate of the account?

Answers

The interest rate of Jill's account as described is; 0.51%

The amount invested by Jill is $7,972.

According to compound interest;

A = P {1 + (r/n)}^nt.

In which case;

A = final amount = $16,876.72P = principal amount = $7,972r = interest rate = ?n = number of times interest is compounded per time = 1t = time = 15

Therefore;

$16,876.72 = $7,972 (1 + r/1)^(1×15)

$16,876.72/$7,972 = (1 + r/1)^(1×15)

2.117 = (1 + r/1)^(1×15)

[tex]1 + r = \sqrt[15]{2.117} [/tex]

1 + r = 1.051

r = 1.051 - 1

r = 0.051

The interest rate is therefore; 0.51%

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A candle is 9 inches long. Ronnie lights the candle and records the height of the candle, y inches, for x hours.​

Answers

In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)

Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

----------------------------------------------------------------

Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below

Answer: y = -2x+9

Step-by-step explanation:

Jayla's dog eats 0. 78 pounds of food a day. To the nearest pound, how much does her dog eat in 7 days?.

Answers

Answer:

5.46 pounds

Step-by-step explanation:

0.78 x 7 = 5.46

Does anyone know the answer to this problem??

Answers

20 of the 120 don’t take either. This means 100 students take French, Spanish or both.

The total taking a language is 53 + 68 = 121

A) 131 -100 = 21

There are 21 students taking both French and Spanish

B) 53-21 = 32 take Spanish only.

32 / 120 students = 4/15 probability

divide -b⁷ + 3b³ + 4b³ + 3b² by 2b²

plz solve this fast plz​

Answers

Answer:

[tex] - \frac{1}{2} ( {b}^{6} - 7 {b}^{2} - 3)[/tex]

See image for solution

Find each missing measure in the diagram below.
EF=(
m2F=d
3.
232
18 in
23
E
E

Answers

Answer:

EF= 18 in. , m<F=134'

Step-by-step explanation:

This ones for the boys with the booming system, top down ac with the cooling sytem

Solve the inequality and enter your solution as an inequality.

7x > 49​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{7x > 49}}\\\\\large\text{DIVIDE 7 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{7x}{7}>\dfrac{49}{7}}}\\\\\large\text{CANCEL out: }\rm{\bf \dfrac{7}{7}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{\bf \dfrac{49}{7}}\large\text{ because it gives you the value of what is being compared}\\\large\text{to the x-value.}\\\\\large\boxed{\mathsf{x>\dfrac{49}{7}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{x > 7}}[/tex]

[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x > 7}}}\\\\\large\boxed{\mathsf{it\ is\ an\ O P E N\ circle\ shaded\ to\ the\ RIGHT}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Simplify.

–36 + (–74)


–110


–100


38


110

Answers

Answer: -110

-------------------------------

- 36 + (-74)

- 36 - 74

- 110

<3

PLEASE HELP ME OUT!!

Convert the following

1,000 mL = _______ L

4,500 mg = _______ g

25 cm = ________ mm

Answers

Answer:

1,000ML = 1 L

4,500MG = 4.5G

25CM = 250MM

Please help I’ll give brainylist in return thank you

Answers

Answer (D)

Explanation

Write the first five digits of 1/7 in base 9 expression

Answers

Compare 1/7 to consecutive multiples of 1/9. This is easily done by converting the fractions to a common denominator of LCM(7, 9) = 63:

1/9 = 7/63

2/9 = 14/63

while

1/7 = 9/63

Then 1/7 falls between 1/9 and 2/9, so 1/7 = 1/9 plus some remainder. In particular,

1/7 = 1/9¹ + 2/63.

We do the same sort of comparison with the remainder 2/63 and multiples of 1/9² = 1/81. We have LCM(63, 9²) = 567, and

1/9² = 7/567

2/9² = 14/567

3/9² = 21/567

while

2/63 = 18/567

Then

2/63 = 2/9² + 4/567

so

1/7 = 1/9¹ + 2/9² + 4/567

Compare 4/567 with multiples of 1/9³ = 1/729. LCM(567, 9³) = 5103, and

1/9³ = 7/5103

2/9³ = 14/5103

3/9³ = 21/5103

4/9³ = 28/5103

5/9³ = 35/5103

6/9³ = 42/5103

while

4/567 = 36/5103

so that

4/567 = 5/9³ + 1/5103

and so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/5103

Next, LCM(5103, 9⁴) = 45927, and

1/9⁴ = 7/45927

2/9⁴ = 14/45927

while

1/5103 = 9/45927

Then

1/5103 = 1/9⁴ + 2/45927

so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/45927

One last time: LCM(45927, 9⁵) = 413343, and

1/9⁵ = 7/413343

2/9⁵ = 14/413343

3/9⁵ = 21/413343

while

2/45927 = 18/413343

Then

2/45927 = 2/9⁵ + remainder

so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/9⁵ + remainder

Then the base 9 expansion of 1/7 is

0.12512..._9

Why is unit rate the only attribute we use to compare proportional relationships?

Answers

Answer:

Because its an internationally accepted method.

Step-by-step explanation:

the length of a rectangle is (2x + 1) the width of the rectangle is (x^2 + 2x - 1). which expression represents the perimeter of the rectangle?

Answers

Answer:

(2x+1+x^2+2x-1)*2=2x^2+8x

Step-by-step explanation:

5+8 = 13 but 8+5 = 14 explain

Answers

Answer:

Their both the same answers which is 13

Step-by-step explanation:

PLZZZZZ I NEED HELP ASAP!!!! 21 points
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).

Plot triangles PQR and P′Q′R′ on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answers

Answer:

d. took the test

Step-by-step explanation:

South Africa broke the world record for largest pizza in 1990. It weighed `26833` pounds

3 medium pizzas weigh about 2 pounds with toppings.

About how many medium pizzas are equivalent to the world’s largest pizza?

Answers

8,944 hope this helps

About 40250 medium sized pizzas are equivalent to world's largest pizza.

What is Scaling factor?

Scaling factor is used to represent how many times of one quantity is equal to another. Mathematically, if x is three times y, this can be written as-

x = 3y

where 3 is the scaling factor.

Given is weight of world's largest pizza and is equal to 26833 pounds and 3 medium pizzas weigh about 2 pounds with toppings.

Now -

3 medium pizzas → 2 pounds

1 medium pizza → (2/3) pounds

Suppose that the weight of world's largest pizza is K times than that of 1 medium pizza. Then we can write -

26833 = 2K/3

K = (26833 x 3)/2

K = 40249.5 = 40250

Therefore, about 40250 medium sized pizzas are equivalent to world's largest pizza.

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I want you to set a goal of signing up 25% of your new customers for our new service feature." Representative: "If I get 96 new customers that means I have to get

Answers

If he get 96 new customers that means he will have to sign 24 customers

for the new service features.

The deal is to get 25% of your new customer to sign the new service features.

When the new customers are 96 in numbers, the number of individuals(25%

of the new customers) to be signed for the new features can be calculated as

follows:

New customer to sign for the new features = 25% of 96

New customer to sign for the new features = 25 / 100 × 96

New customer to sign for the new features = 2400 / 100

New customer to sign for the new features = 24

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This means that if I get 96 new customers that means I have to get 24 new customers

From the question, I want to set a goal of signing up 25% of your new customers for our new service feature.

Since we have 96 new customers, hence the total amount of new customers needed will be expressed as:

= 25% of 96

= 0.25 * 96

= 24 new customers

This means that if I get 96 new customers that means I have to get 24 new customers

Learn more on proportion here: https://brainly.com/question/19914553

Identify the similar triangles.
ΔHFE=
ΔHFE=​

Answers

∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)

The given triangle ΔHFE is similar to triangle GFH and triangle GHE.

What are similar triangles?

Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.

Here,

Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG

Similarly

ΔHFE is similar to triangle ΔGHE.

Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.

Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.

Learn more about similar triangles here:

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what is the measure of angle ASC

Answers

90 degrees it’s half of the triangle and all triangles are 180 degrees

A license plate consist of 3 digits, 3 letters determine the number of different license plate if the first letter must be N,M, or P and repetition and numbers is not permitted

Answers

Answer:

1800.

Step-by-step explanation:

If N is the first letter the next 2 letters will be the number of permutations of 2 from 25 =  25!/ (25-2)!

= 600.

If the first number is M or P the number is the same so that makes 1800 possibilities.

Aiden receives a pay rise of 15%, which increases their pay to $17,250. Calculate his salary before the increase.

Answers

Answer:

$15,000

Step-by-step explanation:

Let P represent Aiden's current pay.

If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.

P + 0.15P = 17250

1.15P = 17250

P = 17250/1.15 = 15000

His salary before the increase was $15,000.

Answer:

$14662.5

Step-by-step explanation:

Aiden receives a pay rise of 15%

increases their pay to $17,250

15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase

Faith is purchasing coffee beans for her shop.
one type of coffee bean costs $10 for every 4 pounds
the shop uses 12 pounds every day.
How much would it cost to buy enough coffee for one day?
explain your answer

Answers

$30
12 divided by 4 is 3
3 times 10 is 30

PLEASE HELP QUESTION 4 ILL GIVE BRAINLIEST

Answers

Answer:

7

Step-by-step explanation:

We take the information in the problem and translate it into a linear equation of the form 3x-8=13. Combining like terms we get 3x=21. next divide both sides by 3 for a final answer of x=7

Duke swims 0.10 mile in 2 minutes. If he swims at the same speed, how many miles does Duke swim in a minute, written as a decimal?

Answers

if he swims .10 in 2 mins, half of that (one min) is .05

Duke swims 0.05 miles in a minute.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Duke swims 0.10 mile in 2 minutes.

Now,

Since, Duke swims 0.10 mile in 2 minutes.

Thus, Speed = 0.10 / 2

Speed = 0.05 mile per minute

And, He swims at the same speed.

Thus, Distance in 1 minute,

Speed = Distance / Time

0.05 = Distance / 1

Distance = 0.05 miles.

Thus, Duke swims 0.05 miles in a minute.

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A principal of $4100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years?
Use a calculator and round your answer to the nearest dollar.

Answers

Answer:

yy is the comparative narrow of speech to me happy and a bit in a sentence

Step-by-step explanation:

ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be

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Answers

I think when you copied and pasted your question it re arranged itself

Stuck on no.2 so any help will be appreciated : )

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{x^{m}}{x^{n}}=x^{m-n}\\\\\\a)\dfrac{a^{5}}{a^{3}}=a^{5-3}=a^{2}\\\\\\b)\dfrac{c^{4}}{c^{3}}=c^{4-3}= c^{1} =c[/tex]

Answer:

A) a^2

B) c

Step-by-step explanation: hope this helps

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Here is the histogram of a data distribution. All class widths are 1.5433211 2 3 4 5 6 7 8 9 10What is the median of the distribution?A. 7O B. 5C. 4O D. 6 In Federalist 9, Publius lists (blank) as an improvement to the science of politics.a.separation of powersb.representationc.an independent judiciaryd.all of the above PLEASE SOMEONE HELP ME OUT THIS IS URGENT PLEASE AND THANK YOU! ): PLEASE HELP Which correctly defines homologous structures?AAnatomically similar structures found in multiple organisms that may or may not share a similar function but result from convergent evolution.BAnatomically similar structures found in multiple organisms that may or may not share a similar function but result from divergent evolution.CAnatomically different structures found in multiple organisms that share a similar function and result from convergent evolution.DAnatomically different structures found in multiple organisms that share a similar function and result from divergent evolution. the dead leaves fall on my cousin car?whats the plural Noun? Please help me with this question :) What is the purpose of the body paragraphs in an essay?A.to draw the essay to a closeB.to catch the audience's attentionC.to communicate the controlling idea for the entire essayD.to explain and support the thesis are fractions 3/9,3/10,3/11,and 3/12 arranged in order from least to greatest or greatest to least the principal Will attend the class on Tuesday and Wednesday is it simple statement or compound statement Which of the following is a __________?Interphalangeal jointElbow jointTibiofemoral joint*All of the above The largest portion of energy in the food system is consumed by household storage and preparation. a. Trueb. False In 1860, Chemists could make which of the following statements about the known chemical elements?a. They all had identical properties.b. Some had similar properties.c. They all had different properties.d. They could not be grouped. Justice needs 24 feet of fencing to surround his garden. The fencing is priced at $0.25 per inch how much will it cost justice to fence in his garden? giving brailist away!just gotta tell me your favorite miraculous ladybug ship, favorite character, andd who you hate the most Which problem did Britain face at the end of the French and Indian War?A.keeping colonists out of Indian lands west of the Appalachian MountainsB.finding colonists who were willing to settle west of the Appalachian Mountains C.establishing laws for the colonists who moved westD.dividing western lands into new colonies which country is the second largest in the world in land area If 4 kg of pork cost $1200, which would give the cost of 9kg of pork? Which statement describes the conditions that could lead to a hurricane?. PLEASE HURRY- I'M TIMED!!!!! What is the proper order for all the steps in a companys mail distribution process?date-stamp, open, sort, distributeopen, date-stamp, sort, distributesort, date-stamp, distribute, opendate-stamp, sort, distribute, open Which group tells the three unifying characteristics of chordates?