9. write an equation of the line that passes through the points (3,7) and (5,11)

Answers

Answer 1

Answer:

[tex]y=2x+1[/tex]  is the required equation of line.

Step-by-step explanation:

To find the equation of line  [tex]y=mx+b[/tex]  through (3, 7) and (5, 11) we first need to find the slope of line and then y-intercept.

[tex]\mathrm{Slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-3}=2}[/tex]

Use one point and slope to find the y-intercept.

[tex]7=2\left(3\right)+b\:\quad \Rightarrow \quad \:b=1[/tex]

[tex]y=2x+1[/tex]

Best Regards!


Related Questions

A news offers a subscription that costs $28.50 for 6 months. what is the unit price per month? Show your work. -Ratio

Answers

Answer: $4.75.

Step-by-step explanation:

It is given that a news offers a subscription that costs $28.50 for 6 months.

We need to find the unit price per month.

The formula for unit price per month is

[tex]\text{Unit price per month}=\dfrac{\text{Total subscription cost}}{\text{Number of months}}[/tex]

[tex]\text{Unit price per month}=\dfrac{28.50}{6}[/tex]

[tex]\text{Unit price per month}=\dfrac{285}{60}[/tex]

[tex]\text{Unit price per month}=4.75[/tex]

Therefore, the unit price per month is $4.75.

2,000 rupees to US dollars

Answers

Answer:

the answer is $27.18 US dollars

Step-by-step explanation: hope you found this helpful

write an equation for a line going through (6,2) and (11,17) in slope intercept form

Answers

Answer:

y=3x-16

Step-by-step explanation:

Jessica wants to buy a new chair that has a regular price of $75.00 this week the chair will be on sale at a 12% discount how much money will Jessica save if she buys the chair this week?

Answers

Answer:

9

Step-by-step explanation:

75*12%=

75*.12=9

Hey there! Glad I can be of assistance!!

Answer:

$9

Step-by-step explanation:

She will save $9 because the amount 75 so 12% of 75 is 9 and that 9 is the amount you save.

If satisfied leave a review and feel free to give me brainiest.

Select the expression that is equivalent to

Answers

Answer:

  [tex](4.3\cdot 2.6)\times 10^{5+7}[/tex]

Step-by-step explanation:

All parts are multiplied. The powers of 10 are multiplied by adding their exponents. The product is formed as shown below.

Select all the correct locations on the table. Select all of the complex numbers in the given table.

Answers

Answer:

answer in  picture

Step-by-step explanation:

Solve 2x−3=13 for the varialbe.

Answers

Answer:

The answer is 8

Step-by-step explanation:

2x-3=13

2x=13+3

2x=16

x=8

Add three to both sides, now you have 2x=16 divide by two on each side then you have x=8

When Emily woke up, the temperature was 8°F. By noon, the temperature had risen by 3°F. It rose another 6°F in the afternoon to reach the day’s high temperature. By the time Emily went to bed, the temperature had dropped 21°F from the high temperature. What was the temperature when Emily went to bed?

Answers

Answer:

The temperature when Emily went to bed was -4°F.

Step-by-step explanation:

8°F + 3°F = 11°F (noon)

The temperature had risen by 3°F by noon. This means to add 3.

noon + 6°F = the day's high temperature

11°F + 6°F = 17°F (the day's high temperature)

The temperature rose another 6°F in the afternoon. This means add 6 to the temperature from noon.

high temperature - 21°F = temperature at bed

17°F - 21°F = -4°F

The temperature dropped by 21°F when Emily went to bed. This means to subtract 21 from the day's high temperature.  

Risen, rose, and increase mean addition.

Decrease, dropped, and decline mean subtraction.

Hope this helps :)

Need to be able to check my work with this problem.

Answers

Answer:

You are correct

Step-by-step explanation:

Hi,

[tex](f+g)(x)=6x-12+3x+8=9x-4\\\\(f-g)(x)=6x-12-3x-8=3x-20[/tex]

Thanks

Solve x − 2y = 3 for x

Answers

Answer:

x=2y+3

Step-by-step explanation:

x − 2y = 3

x=2y+3

A faucet is leaking water at a rate of 2.5 cups per hour. How many cups of water will leak in 8 hours? A. 3.2
B. 5.5
c. 10.5
D. 20.0 ​

Answers

Answer:

20

Step-by-step explanation:

In 8 hours, it will leak 2.5 * 8 = 20 cups of water.

8r-6+2+4r Show all work

Answers

Answer

-4+12r

8r-6+2+4r

-6+2=-4

8r+4r=12r

Work

8r-6+2+4r

-6+2=-4

8r+4r=12r

Answer

-4+12r

7= x + 6 solve for x

Answers

7=x +6 solve for x. x is 1

Complete the equation.
Please someone help.

Answers

The answer is 3x to the second power.

We defined the operation of concatenation for sets of strings on p. 10, AB = { XY | X ∈ A and y ∈ B}Are the regular sets closed under concatenation? That is, if A and B are regular sets, is AB guaranteed to be a regular set? Prove or show a counterexample.

Answers

Answer and Explanation:

Solution: The operation of concatenation for a set of string on p. and the set is

     AB = {XY | X ∈ A and y ∈ B}.

We need to satisfy all these following properties to find out the standard set is closed under concatenation.

1- Union of two standard sets also belongs to the classic collection. For example, A and B are regular. AUB also belongs to a regular group.

2- Compliment of two standards set A and B are A’ and B’ also belonging to the standard set.

3- Intersection of two standards set A and B is A∩B is also a regular set member.

4- The difference between two regular sets is also standard. For example, the difference between A and B is A-B is also a standard set.

The closure of the regular set is also standard, and the concatenation of traditional sets is regular.

what number is 7 hundredths greater than 5.25​

Answers

Answer:

36,750.

Step-by-step explanation:

The way to determine the number that is seven hundred times greater than 5.25 is by multiplying those numbers, the result being the number in question.

Thus, the following multiplication must be performed:

700 x 5.25 = X

3,675 = X

Thus, the number that is seven hundred times greater than 5.25 is 3,675.

Write out the algebraic proportion of the ratio of a to 7 is equal to the ratio three more than a to 13. A. a/7 = 13/a+3 B. a/7 = a-3/13 C. a/7 = a+3/13 D. 7/a = a+3/13 Please be fast!

Answers

Answer:

I think its c

Step-by-step explanation:

Martha measured the perimeter of a painting as 212 centimeters. If framing boards are labeled in inches, which board length will give her enough material to frame the painting? Note: 1 inch = 2.54 centimeters.

96 inhes
72 inches
48 inches
36 inches

Answers

Answer:

a) 96 inches

Step-by-step explanation:

2.54cm ................  1 inch

212cm ...................x inches

x = 212cm×1in/2.54cm = 83.46 inches

a) 96 inches

It takes Jesse 2/3 hour to mow her backyard. How much of the yard will be mowed after 1/4 hour?

Answers

devide 2/3 to 1/4 to get theanwser

Step-by-step explanation:

Please do this no fake stuff please. Click on the paper clip to see the problems stay safe

Answers

25/372
26/936
27/56,21
28/30,54
25) 372
26)936
27) 58.1
28)35.4
29)10x+17
30)9a
31)-16m+11
32)44n-24

The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 400,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 40,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time. (Note that the variable t represents days.) Enter an exact answer.

Answers

Answer:

[tex]P=400000(2^t)-40000t[/tex]

Step-by-step explanation:

The initial number of mosquitoes is 400000, and they double each day. This represents an exponential growth equation. If t represent days and P represent the population of the mosquitoes, hence this can be represented by the equation:

[tex]P=400000(2^t)[/tex]

Also, the predators eat the mosquitoes at a rate of 40,000 mosquitoes/day. This means that each day, the mosquitoes reduce by 40000t, therefore this can be represented by:

[tex]P=400000(2^t)-40000t[/tex]

When I double my number, add four, and then subtract my number and subtract three, I get my number plus one. What is my number?

Answers

Answer: Let your no.= x

double the number=2x

add 4 = 2x+4

subtract same number=2x+4-x

subtract 3=2x+4-x-3

I get my number plus 1=x+1

 

so equation we get

2x+4-x-3=x+1

x+1=x+1

 

x=x

 

it means  x is equal to all real number

So your number can be any real number

Cindy has $60 in her bank account while Eric has $400 in his bank account. Cindy deposits
$5 into her bank account every day while Eric withdraws $10 from his bank account every
day. How many days, d, will it take for Cindy and Eric to have the same amount of money
in their bank accounts?
60 - 10d = 400 +5d
60 - 5d = 400 +10d
60 - 5d = 400 - 10d
60 + 5d = 400 - 10d

Answers

Answer:

i think its c

Step-by-step explanation:

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y varies inversely as the square of x, and y=7/4 when x=1, find y when x=3

Answers

Answer:

y=7/36

Step-by-step explanation:

Since y varies inversely to the square of x, we can say

[tex]y = z/x^2[/tex]

where z is the constant of variation.

Then, from knowing that y=7/4 when x=1, we plug them in to find z.

[tex]7/4=z/(1^2)\\z=7/4[/tex]

Now we have the full equation,

[tex]y=7/4x^2[/tex]

Plug x=3 in and we get,

[tex]y=7/4(3^2) = 7/36[/tex]

find the slope of the line that passes through (3,4) and (1,7)

Answers

Answer:

-3/2

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 7-4)/(1-3)

   = 3/-2

  = -3/2

Answer:

The answer is

[tex] - \frac{3}{2} [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{y_{2} -y_{1}}{x_{2} -x_{1} } [/tex]

where

(x1 , y1) and (x2 , y2) are the points

m is the slope

From the question the points are

(3,4) and (1,7)

The slope is

[tex]m = \frac{7-4}{1 - 3} \\ = - \frac{3}{2} [/tex]

We have the final answer as

[tex] - \frac{3}{2} [/tex]

Hope this helps you

How do I solve this?

Answers

Answer:

x is in the range [-1,4]

Step-by-step explanation:

I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.

We are given the following inequality:

| 2x - 3 | <= 5

This implies two possible cases:

[1] -5 <= 2x -3

Or

[2] 2x - 3 <= 5

So let's solve x for both of these cases:

[1] -5 <= 2x - 3

 -2 <= 2x

 -1  <= x

[2]  2x - 3 <= 5

 2x <= 8

  x <= 4

So from these cases, we can say the following is true:

x >= -1  and x <= 4

Thus, we can write this in the form

-1 <= x <= 4

Or in interval notation:

{ x is element of reals | -1 <= x <= 4}

Also written as

x is in the range [-1,4]

Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.

Cheers.

20 experts can solve a complex mathematical question in 60 minutes. 20 dull people

can solve the same complex mathematical question in 180 minutes. If 10 experts and

10 dull people sit to solve the same question, how many hours will they take​

Answers

Answer: 10*1/20*1+10*1/20*3

(hints..... 1 experts =1/20*60mins and 1 dull =1/20*180mins)

Would really appreciate it if someone could help!! Have been stuck on the question alll day !

Answers

The answer would be:
ABD=78.8
DBC=61.1

Ralph is leasing a $32,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and a residual value of 72%. Determine Ralph's approximate monthly lease payment. a. $145.00 b. $230.40 $248.89 d. $443.73 C.​

Answers

Answer:

d. 443.73

Step-by-step explanation:

i got it right on the test

Ralph approximate monthly lease payment is: d. $443. 73.

Monthly Lease payment

First step:

Residual value=$32,000×72%

Residual value=$23,040

Second step:

Depreciation=$32,000-$23,040

Depreciation=$8,960

Third step:

Base monthly lease payment=$8,960/36

Base monthly lease payment=$248.89

Fourth step:

Interest per month=($32,000+$23,040)×0.00354

Interest per month=$55,040×0.00354

Interest per month=$194.84

Fifth step

Monthly lease payment=$248.89+$194.84

Monthly lease payment=$443.73

Inconclusion Ralph approximate monthly lease payment is: d. $443. 73.

Learn more about monthly lease payment here:https://brainly.com/question/25795577

https://brainly.com/question/26162415

The numbers on two consecutively numbered time lockers have a sum of 129. What are the locker numbers? The locker numbers are?

Answers

x = one number

x + 1 = second number

x + x + 1 = 129

Combine like terms

2x + 1 = 129

Subtract 1 from both sides.

2x = 128

Divide both sides by 2

x = 64

The locker numbers are 64 and 65

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