3) What is an equation for the line that passes through the coordinates (-1.2) and (7,6) ?

Answers

Answer 1

Answer:

[tex]y=\frac{1}{2} x+\frac{5}{2}[/tex]

Step-by-step explanation:

First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.  

[tex]\frac{6-2}{7- (-1)}=\frac{4}{8}=\frac{1}{2}[/tex]

So now we have the equation [tex]y=\frac{1}{2} x+b[/tex], and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation

[tex]2=\frac{1}{2}(-1)+b[/tex]

Rearrange the equation so it equals b

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

Put it together and that's the final equation!

[tex]y=\frac{1}{2} x+\frac{5}{2}[/tex]


Related Questions

can you solve this equation?
-12 2/3 + 2 1/3

Answers

Answer:

-7.333

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

‍♂️‍♂️‍♂️help me plz I dont no 1+1​

Answers

Answer:

The answer is 2

Step-by-step explanation:

Since the number 1 plus 1 is 2

11, you do 1+1 n take away the +

Judith made 4 stacks of wooden blocks. The first stack was 9 blocks tall. The second stack was 5 blocks taller than the first. The third stack was 5 blocks shorter than the second stack, and the last stack was 10 blocks taller than the third stack. How many blocks did Judith use in all?

Answers

Answer: the answer is 42

Jenna has a rectangular pig pen that measures 8m wide by 10m long. She wants to increase the area to 168 m^2 by increasing the length and width by the same amount. What would you enter into desmos to represent the equation?

A) x^2 + 18x – 88

B) x^2 + 10x + 80

C) (8x)(10x)-168

D) None of the above

Answers

Answer:

The answer is A

Step-by-step explanation:

I just took the test and it was the answer!

The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.

The correct option is (A).

What is Surface Area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement.

As per the given data:

The dimensions for the pig pen Jenna has is given.

The area of the pig pen is to be increased to 168 m² by increasing the length and width by the same amount.

Length of the rectangular pig pen = 10 m

Width of the rectangular pig pen = 8 m

Now, let's say that the length and width of the pig pen is increased by x m.

length = 10 + x

width = 8 + x

The expression for the area of the pig pen will be:

Area = length × width

168 = [10 + x][8 + x]

168 = 80 + 10x + 8x + x²

x² + 18x - 88 = 0

The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.

Hence, The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.

To learn more about surface area, click:

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The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs.

a. Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. Be sure to state the units you use.
b. Express using functional notation the total cost if there are 250 widgets produced in a month, and then calculate that value.

Answers

Answer:

(a) C = 9000 + 15N

(b) Cost of 250 widgets is $12750

Step-by-step explanation:

The question has missing details. See attachment for complete question

Solving (a): An expression for total cost.

The expression is generated using:

[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]

From the given parameters:

[tex]Fixed\ Cost = 9000[/tex]

[tex]Variable\ Cost = 15[/tex]

[tex]Number\ of\ Items = N[/tex]

So, the expression becomes:

[tex]C = 9000 + 15 * N[/tex]

[tex]C = 9000 + 15 N[/tex]

Solving (b): Cost of 250 widgets

In this case:

[tex]N =250[/tex]

Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]

[tex]C = 9000 + 15 * 250[/tex]

[tex]C = 9000 + 3750[/tex]

[tex]C = 12750[/tex]

Jason had 141 dollars to spend on 8 books. After buying them he had 13 dollars. How much did each book cost ?

Answers

Answer:

Each book cost $16

Step-by-step explanation:

Step 1: Subtract $13 from 141 to get 128

Step 2: Divide 8 by 128 to get 16

Each book cost $16

Hope this helps

pls mark brainliest!

I don't understand how to do this ​

Answers

Answer:

x = 86

Step-by-step explanation:

The top right and bottom left angles are part of the reflective property, in turn, the bottom left angle is also 94 degrees; to find the opposite relfective angle set, it would be, in this problem, the top left and bottom right angles; the two top angles make up 180 degrees, so it would be (180-94 = 86) 86 degrees for both the top left and the bottom right angles.

Hope this helps :)

If the root of x2-7x+k=0, m=1, find the value of the constant k

Answers

Answer:

hfrhghubifhvfuovhtjopugjob

Step-by-step explanation:

Which one doesn't belong? 100, 25, 36, 30

Answers

Answer:

Step-by-step explanation:

100 bro

x² + 4 = 55
What is x

Answers

Answer:

7.1414284285

answer...

Tonya drove 343 miles the first day of her trip. how many days will it take her to drive the remaining 1,200 miles if she continues at the same rate?​

Answers

Answer:

3.5 days

Step-by-step explanation:

Given

[tex]Day\ 1 = 343\ miles[/tex]

Required

Number of days to drive 1200 miles

Represent as ratio:

[tex]Day\ 1 = 343\ miles[/tex]

[tex]Ratio = 1 : 343[/tex]

For 1200 miles

[tex]Ratio = x : 1200[/tex]

Equate both ratios

[tex]x : 1200 = 1 : 343[/tex]

Express as fractions

[tex]x/1200 = 1/343[/tex]

Multiply by 120

[tex]x/1200 *1200= 1/343*1200[/tex]

[tex]x= 3.4985[/tex]

[tex]x= 3.5[/tex] --- approximated

In 2016, 5,200 parking permits were issued in a city. The number of parking permits increases by 5% every year. Let y represent the number of parking permits issued x years since 2016.

Which type of sequence does the situation represent?

A.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.5.
B.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.05.
C.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.5.
D.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

Answers

The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

What is geometric series?

A geometric series is a series in which the division of any consecutive two terms will be the same.

here, we have,

to determine the situation:

The given parameters are:

Initial = 5200

Rate = 5%

Because the population by 5% every year, then the situation is a geometric sequence.

The common ratio is then calculated as:

Ratio = 1 + Rate

This gives

Ratio = 1 + 5%

Evaluate

Ratio = 1.05

Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

Read more about geometric sequence at:

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A restaurant wants to study how well its salads sell. If 10 of the salads sold were ​salads, how many total salads did the restaurant​ sell?

Answers

Uh 10,I don’t know if this is a joke or if your wording was just wrong but the answer is 10 based off off your wording.

Answer:

Um... is this a joke it’s 10

Step-by-step explanation:

Let f(x) = - 4x+2 and g(x) = x2 + 2.
Find (f+g)(x).

Answers

Answer:

[tex]x^{2}[/tex]-4x+4

Step-by-step explanation:

Two publishers have offered Melanie Thompson a deal on her new
book Sugar-Free Culinary Classics. The first has offered to pay
her $82,000 up front and a $5.50 royalty for every book it
sells. The second has offered to pay $68,000 up front and a
$6.75 royalty for every book it sells. Over what range of book
sales will Melanie make more from the second publisher than she
will from the first?

Answers

Answer:

Step-by-step explanation:

68000+6.75b>82000+5.5b. subtract 5.5b from both sides

68000+1.25b>82000. subtract 68000 from both sides

1.25b>14000. divide both sides by 1.25

b>11200

So she must sell more than 11500 books to make more with second publisher.

Never was given anything to help solve they just assume you know it

Answers

Answer: 0.4575

Step-by-step explanation:

.915/2

Look at pic plz help

Answers

Answer:

Mochi is growing quicker.

Step-by-step explanation:

At 3 weeks Mochi was 13 pounds but Kappa was only at 11. Hope this helps! I'd really appreciate brainliest.

Answer:

Mochi

Step-by-step explanation:

by 2 weeks Mochi was at weight 9 while Kappa was at 8 in weight the same time.

The height of a standard coffee cup

would be about

7 meters

B

7 kilometers

7 centimeters

D

7 millimeters

Answers

Answer:

7 centimeters

Step-by-step explanation:

Standard size of a coffee cup is 7 centimeters

7 meters is too big

7 kilometers  is bigger than 7 meter

7 millimeters is too small


I’m so bad at math Can someone help

Answers

Answer:

B and C

Step-by-step explanation:

It fits the inequality

Step-by-step explanation:

step 1. no one is categorically bad at math; they just haven't practiced.

step 2. this reads: x is less than 30 and x is greater than 15.

step 3. x cannot be 15 but can be 22 and 29.

If y varies inversely with x, and y = 48 when x = 6, find y when x = 18.

Answers

Answer:

y = 16

Step-by-step explanation:

Given that,

y varies inversely with x i.e.

[tex]y=\dfrac{k}{x}[/tex]

Where

k is a constant of proportionality

Put y = 48 and x = 6 in the above equation to find k.

So,

[tex]k=48\times 6\\\\k=288[/tex]

Now put k = 288 and x = 18 in the above equation to find y.

[tex]y=\dfrac{288}{18}\\\\y=16[/tex]

So, the value of y is equal to 16 when x = 18.

Answer:

16

Step-by-step explanation:

1.
Write the equation, then find the value of x.

2.
What is the measure of

Answers

Answer:

1.

32+36+2x=180

2.

56

hope this helps

answer: 1) x=56 :), i can’t see the rest of the second question

Campsite fees
(per day)
Tent ...... .. $15.00
Caravan ....... $25.00
The sign shows the fees charged at a campsite.
Today there are 54 tents and 18 caravans on the site.
Calculate the fees charged today.​

Answers

Answer:

1260

Step-by-step explanation:

Tents: 15×54=810

Caravans: 25×18=450

450+810=1260

Answer:

$1260

Step-by-step explanation:

Campsite Fees:

Tent - $15 (per day)

Caravan - $25 (per day)

No. of Tents and Caravans today:

Tents - 54

Caravan - 18

Total fees for Tent = 15 x 54

= $810.

Total fees for Caravan = 25 x 18

= $450.

Fees altogether for Today = Total fees for Tent + Total fees for Caravan

= $810 + $450

= $1260

Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?

Answers

Draw a line that starts at 5.75 and ends at 12.99

Calculate the value of x
35 degree 2x+16 4x+3

Answers

Is that supposed to be an equal sign between the 16 and 4x?


Three friends Steve, Jake and Jodie shared a pizza. Steve ate 2/5 of the pizza and Jake ate 1/4
What fraction did Jodie eat?

Answers

Note that they together ate all of the pizza.
Therefore the total fractions they ate should add up to 1.

By letting the fraction Jodie ate be x.

x + 2/5 + 1/4 = 1
x = 7/20

The answer is 7/20.

Answer:

they ate it all together as it all adds to 1

Step-by-step explanation:

1/4+2/5 if you add the missing remainder it totals 1

a baseball team wins 45% what fraction of the games do they win

Answers

Answer:

= 9/20

Step-by-step explanation:

45% = 45/100

= 0.45

= 0.45/1 × 100/100

= 45/100

= 9/20

Extend the pattern below by four terms write an observation about the pattern pattern 76, 70, 64,58,52

Answers

Answer:

46, 30, 24, 18, 12

Step-by-step explanation:

Solve the inequality below:
-3x +5-16
ALGEBRA

please help

Answers

Answer:

The answer is -14x

Step-by-step explanation:

5 - 16 = -11

-3 + -11 = -14

(all we have left is the x)

-14 + x = -14x

Answer:a

Step-by-step explanation:

HELP PLEASE!!!
See the image!

Answers

Answer:

Step-by-step explanation:

Remark

I don't think the net helps you that much. The yellow diagram shows where the dimensions are.

Givens

L = 5w = 5h = 12

Formula

Surface Area = 2*L*w + 2*L*h + 2 * w * h

Solution

Surface Area = 2*5*5 + 2*5*12 + 2*5*12Surface Area = 50 + 120 + 120Surface Area = 290 in^2

How Many Equal Parts Are In 4/5

Answers

Answer:

4

Step-by-step explanation:

Image result for how many equal parts are in 4/5

Each equal part is called one-fourth or a quarter of the whole sheet. So, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole.

The answer would be 4 ^^
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