5. The graph of a function is a line that
passes through the coordinates (2, 11)
and (8, 14).
Write an equation in the form
y = mx + b for this function.

Answers

Answer 1

Answer:

y = 1/2x + 10

Step-by-step explanation:

(y-11)/(14-11) = (x-2)/(8-2)

(y-11)/3 = (x-2)/6

2y-22 = x-2

2y = x + 20

y = 1/2x + 10

Answer 2

Let m = slope of the line.

m = (14 - 11)/(8 - 2)

m = 3/6

m = 1/2

We now have the slope and the slope is 1/2.

We plug the slope and one of the point into the point-slope formula.

Here is the point-slope formula:

y - y_1 = m(x - x/_1)

I will use the point (2, 11).

y - 11 = (1/2)(x - 2)

y - 11 = (1/2)x - 1

Now we solve for y by adding 11 to both sides of the equation.

y = (1/2)x - 1 + 11

Answer: y = (1/2)x + 10


Related Questions

Sets that are made up of isolated points and can be written as lists are called ____ sets. a. Discrete b. Element c. Continuous d. Infinite

Answers

Answer:

Discrete set

Step-by-step explanation:

A discrete consists of a fixed number of elements, such that each element or point in the set is a standalone point or isolated. This differs from a continous set which still consists of points in between each set of values. Therefore the property of isolated point is a characteristic of a discrete set. The can be written as a list. The values are isolated on a discrete set as opposed to that of a continuous set whereby values can take up any value within any two intervals in the set.

A cyclist sprinter does 1200 J of work in a race. While her bike does 800 J of work
during the race. What is the efficiency of the bike?

Answers

Answer:

66.666666666666666666%

Step-by-step explanation:

20 POINTS IF YOU TAKE THE POINTS I WILL REPORT YOU
QUESTION IN PIC

Answers

Answer:

4(5x - 4) = 4x + 16

Step-by-step explanation:

If x = 2,

4(10 - 4) = 8 +___

40 - 16 = 8 +___

24 = 8 +___

To solve this, subtract 8 from 24.

24 - 8 = 16

I DONT GET THIS: What is the Domain and Range of the function in context?

Answers

Answer:

c

Step-by-step explanation:

the domain is every possible input value and the range is every possible output value. since the outputs are all positive, the range is equal to all real numbers. and since the graph starts at 1,000, the domain is greater than or equal to 1,000

Angela's Uber cab fare is $12. A tax of 3% is added to the fare. she gives the drivers 20% of the original fare as a tip. How much did Angela pay for her cab ride home.

Answers

Answer:

$14.80

Step-by-step explanation:

Tax:

       3% of 12 is .4. So she would pay $0.40 for the tax.

Tip:

       20% of 12 is 2.4. So she would pay $2.40 for the tip.

Sum:

       Then you would add them all together, 12 + 0.4 + 2.4 = 14.8. So she payed $14.80 in all.

(6a⁴)³
reduse the equation to its simplest form​

Answers

Answer:

Step-by-step explanation:

Two properties used are: [tex](a*b)^{m} = a^{m}*b^{m}\\[/tex]  and  [tex](a^{m})^{n}=a^{m*n}[/tex]

[tex](6a^{4})^{3}=6^{3}*(a^{4})^{3} = 216a^{4*3} = 216a^{12}[/tex]

A gas tank on a car holds 16 gallons of gasoline and can travel 480 miles on a full tank. how many miles can the car travel per gallon?

Answers

Answer:

30 miles per gallon

Step-by-step explanation:


[tex]12 \sqrt{1245} [/tex]

Answers

Answer:

yeah

Step-by-step explanation:

13 Dec 2020 — Multiply the divisors to find the lcm of 6, 12 and 18 ... given ratio: 5: 2: 8[tex]\frac{1245}{5+2+8}[/tex][tex]\frac{1245}{15}[/tex][tex]83[/tex]mango trees: 83 × 5

pt 4 help me -_-... i wasnt listening

Answers

Answer:

C. 264 cubic inches

Step-by-step explanation:

The formula for volume is Length times height times width. So you just multiply all of the numbers and you get your answer.

Draw and Solve: From the top of the Eiffel Tower, which is 986 feet tall a jogger is spotted heading toward the tower. At 2 pm, the angle of depression of the jogger (4) was measured to be 379. Four minutes later, (B), when measured again, the angle of depression laad increased by 35. Find the average speed of the jogger to the nearest foot per minute. ​

Answers

Thank you hope this helps

How do I find GD? Giving Brainly

Answers

Answer:

cut it in half, your answer is 11

Answer:

GD: 3.5

Step-by-step explanation:

You said CE is 7, and GD is half the length of CE. So based off of your answer for CE, GD equals 3.5

please help me with this please.

Answers

Answer:

x is greater or equal to 7

Step-by-step explanation:

Answer:

That's awesome have a wonderful day okay?

Step-by-step explanation:

Which of the sets of ordered pairs represents a function? A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3), (−9, 5)}

Answers

Answer:

Neither A or B

Step-by-step explanation:

Hello There!

In order for a set of ordered pairs to represent a function none of the x values can repeat

In answer choice A the x value 7 repeats therefore the set of ordered pairs do not represent a function

In answer choice B the x value 7 repeats therefore the set of ordered pairs do not represent a function

so we can conclude that neither set of ordered pairs represent a function

Sam is making wheels for tricycle. He can make 400 wheels in 2 hours. how many hours will it take him to make 1,000 wheels.

Answers

Answer:

5 hours.

Step-by-step explanation:

800 wheels in 4 hours.

Half of 400 is 200.

Half one 2 is 1

So 1000 wheels. 5 hours.

Find two numbers when multiplied
equal -49 and when added equal o

Answers

Answer:

7 and -7

Step-by-step explanation:

7*-7 = -49

7+(-7)=0

Can someone please help me

Answers

Answer:

16.8 cm³

Step-by-step explanation:

Volume= length x width x height

length x width x height = Volume

 4       x 1.4       x    3      = 16.8 cm³

Answer:

16.8 cm

Rounded: 17 cm

Step-by-step explanation:

Use the Volume formula: V= W*L*H (width x length x height)

V= 4*3*1.4

V= 16.8

A cattle rancher needs to construct a new silo in which to store cattle feed. The silo will cost $2000. The rancher pays 15% as a down payment and finances the balance for 60 months at an APR of 7.50% . Determine the rancher's total finance charge and monthly payment.

a) Total finance charge = $368.22; Monthly payment =$34.47

Answers

Answer:

Monthly payment = $34.06

Finance charge = $343.87

Step-by-step explanation:

Given that:

Cost of silo = $2000

Down payment = 15% = (0.15) * 2000 = $300

Loan amount = $2000 - $300 = $1700

Period = 60 months = 5 years

APR = 7.5%

Using then monthly payment calculator, with the satiated parameters inputted :

The monthly payment is $34.06

The total amount paid over 60 months = $2,043.87

Therefore, finance charge = (total amount paid - loan amount)

$2043.87 - $1700

= $343.87

What number makes the number sentence true?

9x5x2 = 9x

Answers

Answer:

x=0, 1/10

Step-by-step explanation: hope I helped

I was confused on your question, but what I did was solved for x.

Find the measure of arc WVY.

Answers

Answer:

arc WVY = 265.4°

Step-by-step explanation:

arc XY = arc WX                because ZY = WZ

360° - 47.3° - 47.3° = 265.4°

Is this right?? I think it is

Answers

Yes this is correct ...

During a walk a thon,noahs time in hours was,t,and distance in miles,d,are related by the equation 1/3d=t .A gragh of the equarion includes points (12,4)

Answers

Question:

During a walk-a-thon, Noah's time in hours was t, and distance in miles, d, are related by the equation [tex]\frac{1}{3}d = t[/tex].  A graph of the equation includes points (12,4).

1. Identify the independent variable.

2. What does the point (12,4) represent in this situation?

3. What point would represent the time it took to walk [tex]7\frac{1}{2}[/tex] miles?  

Answer:

(a) d

(b) He spent 4 hours to walk 12 miles

(c) [tex](7\frac{1}{2},2\frac{1}{2})[/tex]

Step-by-step explanation:

Given

[tex]t = \frac{1}{3}d[/tex]

Solving (a): The independent variable

The independent variable, in this problem is the distance walked. Because the distance walked stands alone, and it is when the distance is known, that the time spent is known.

Hence:

The independent variable is distance (d)

Solving (b): What (12, 4) represents

This implies that:

[tex]distance = 12[/tex]

[tex]time\ spent = 4[/tex]

So: He spent 4 hours to walk 12 miles

Solving (c): Point to represent the time to walk [tex]7\frac{1}{2}[/tex] miles

This implies that:

[tex]d = 7\frac{1}{2}[/tex]

Substitute [tex]d = 7\frac{1}{2}[/tex] in [tex]t = \frac{1}{3}d[/tex]

[tex]t = \frac{1}{3} * 7\frac{1}{2}[/tex]

Express as improper fraction

[tex]t = \frac{1}{3} * \frac{15}{2}[/tex]

[tex]t = \frac{5}{2}[/tex]

Express as mixed number

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

So: The point is, [tex](7\frac{1}{2},2\frac{1}{2})[/tex]

Please help no links!!!

Answers

3600 jehehshehywgegegw

WILL GIVE BRAINLIEST!
Consider the following.

(a) For the figure above, find the sum of the measures of angles x, y, and z.
°

(b) For the figure above, explain why
∠a + ∠b = ∠x.

∠a + ∠
?
+ ∠c = 180°
∠a + ∠
?
+ ∠c − ∠c = 180° − ∠c
∠a + ∠
?
= 180° − ∠c


?
+ ∠c = 180°

?
+ ∠c − ∠c = 180° − ∠c

?
= 180° − ∠c

∠a + ∠b = ∠x


Write a rule that describes the relationship between an exterior angle of a triangle and the opposite interior angles.
The sum of two interior angles in any triangle is
---Select---
the exterior angle of the third angle.

Use the rule to write an equation involving angles b, c, and y.

Answers

Bro sorry it’s making me answer B bc it’s above

As part of his science project, Steve recorded the number of eggs laid by several lizards from the local pet shop. The data Steve collected is provided below.
10, 7, 8, 8, 9, 10, 9, 10, 8, 11, 11, 9, 7,10, 9
In his report, Steve should use the (mean/median/IQR) as a measure of the center since his data is (Standard deviation/ normally distributed/ skewed).

Answers

Answer:Mean and Normally distributed

Step-by-step explanation:

Help me with this!!

Answers

Answer:

Step-by-step explanation:

so we see the two line of the same length of 14, which tells us that the lengths of 5x  and 7x-8  have to be the same length.  so we know we can set them equal to each other.  Often times that's the key to math problems , finding where you can set things equal.

5x = 7x-8  ( subtract 5x from both sides and then add 8 to both sides )

8 = 2x ( divide both sides by 2 )

4 = x

nice this looks right too  , both sides add to 20  :)

You bought a lawn mower for $80. For every lawn you cut, you plan to charge
customers $20. Which graph shows how many lawns you must cut to earn back the
money spent on the lawn mower?

Answers

A graph that shows the number of lawns you must cut to earn back the money spent on the lawn mower include the following: B. graph B (top right).

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.

Based on the information provided above, a linear equation that models the situation with respect to the rate of change is given by;

y = mx + c

y = 20x - 80

In conclusion, we can logically deduce that the slope is equal to $20 while the y-intercept is $80.

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

A student puts $500 into an account that gains 0.5% interest each year. If the function A (t) = 500(1.005) represents the total amount of
money, in dollars, in the account after t years, what is the value of A (10), to the nearest dollar

Answers

Answer:

that was my question

Step-by-step explanation:

jzjzjjzjzjxjxjxjxk k

pls help asap for brainlest

Answers

Answer:

the answer is C ik its right because i did this two days ago so im sure its C

Step-by-step explanation:

It’s actually d because that’s the closest thing to correct

can you guys send the graph through brainly pls ty i don’t know how to make graphs and it’s due at 11:30 so pls ill mark brainlist and points

Answers

Answer:

i will add the pictures in order , desmos is a helpful way to graph

Step-by-step explanation:

i hope this helps

I always get these mixed up, can someone help me? ​

Answers

Answer:

The answer is

1_ side angle side

2_angle side angle

3_ angle angle side

4_ side side side

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