I don't understand this question, can someone help please?
Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation
7x – 10y = 3. Is this a good model? Explain your reasoning.

Answers

Answer 1

Answer:

No. Correct is 7x - 10y = 6.

Step-by-step explanation:

The slope of the line is (-9-5)/(-12-8) = 7/10

y - 5 = 7/10(x - 8)

10y - 50 = 7(x - 8)

10y - 50 = 7x - 56

7x - 10y = -50 + 56

7x - 10y = 6.

Answer 2
Answer:  No, it's not a good model

Explanation:

Let's plug in x = 8 and y = 5. This is directly from the ordered pair (8,5).

7x - 10y = 3

7*8 - 10*5 = 3

56 - 50 = 3

6 = 3

We get a false equation at the end, which means the original equation is false when (x,y) = (8,5). Therefore, the point (8,5) is not on the line 7x-10y = 3. Furthermore it means that 7x-10y = 3 is not a good model since Devon wanted the line to pass through both given points.

If you were to plug in (x,y) = (-12,-9), then you would find the same thing happens. For each ordered pair, the left side results in 6. So if Devon were to change that "3" to "6", then it would be a good model as both points would be on the line. In other words, the standard form equation Devon should use is 7x-10y = 6. When solving for y, Devon would get y = (-7/10)x - 3/5

Below is visual confirmation that 7x-10y = 3 is not a good model. Both points are not on the line. The graph was made using GeoGebra.

I Don't Understand This Question, Can Someone Help Please? Devon Wants To Write An Equation For A Line

Related Questions

the sum of three whole numbers in a row is 57. what are the three numbers?

Answers

Answer:

18, 19, 20

Step-by-step explanation:

(n) + (n + 1) + (n + 2) = 57

3n + 3 = 57

3n = 57 - 3 = 54

n = 54/3 = 18

three numbers are 18, 18+1, 18+2

18, 19, 20

Answer:

18,19,20

Step-by-step explanation:

x + (x+1) + (x+2) = 57

x + x + 1 + x + 2 = 57

Combine like terms

3x + 3 = 57

subtract 3 from both sides

3x = 54

divide both sides by 3

x = 18

The answer is 18, 19, 20

Since we know the value of x, we can look at it like this:

x + (x+1) + (x+2) --- > 18 + (18+ 1) + (18+2) --> 18 + 19 + 20

which rotation about its center will carry a regular hexagon onto itself

Answers

There are 6 angles between neighbour vertices, they all are equal (because a hexagon is regular) and their sum is 360°. Thus each angle has a measure of 360°/6=60°. Each subsequent rotation by 60° also maps a hexagon onto itself.

help.....................

Answers

Answer:

Answers in Explanation

Step-by-step explanation:

First Question:

[tex]\sqrt{100}[/tex] + [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)

[tex]\sqrt{100}[/tex] + [24 - 15]  - (60 - 49 - 1)

[tex]\sqrt{100}[/tex] + 9 - 10

10 + 9 - 10

Answer = 9

Second Question:

5x + 2x = 7x

5x^2 + 3x^2 = 8x^2

2x + 3x - x = 4x

2x + 3y + x + y = 3x + 4y

9x - 6x = 3x

-7y + 3x + 4x + 3y = 7x - 4y

-7x^2 + 2x^2 + 9x^2 = 8x^2

(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5

(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8

(3x - 4) - (5x + 2) = -2x - 6

(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x

(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1

Third Question:

17x + 2y

(5x + 12y) + (3x + y) = 8x + 13y

17x - 8x = 9x

2y - 13y = -11y

Answer: 9x - 11y

6p - 5 =13
3
-3
12
15

Answers

Answer:

6p=13+5

6p=18

p=18/6

p=3

line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?

Answers

Answer:

y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = [tex]\frac{1}{2}[/tex] and (a, b ) = (- 6, - 7 ) , then

y - (- 7) = [tex]\frac{1}{2}[/tex] (x - (- 6) ) , that is

y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)

what's the slope (3,-1) and (-2,5)

Answers

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (3, - 1 ) and (x₂, y₂ ) = (- 2, 5 )

m = [tex]\frac{5-(-1)}{-2-3}[/tex] = [tex]\frac{5+1}{-5}[/tex] = [tex]\frac{6}{-5}[/tex] = - [tex]\frac{6}{5}[/tex]

BRAINLIEST, 5 STARS, AND A THANKS FOR WHOEVER HELPS!

Which statement about the answer to this problem is most accurate?
​5\6−3\8=19\24​


The answer 19\24 is reasonable because both fractions are closer to 1\2 than they are to 1, making the difference close to 0.

The answer 19\24 is reasonable because ​5\6​ and 3\8​ are both closer to 1 than to 1\2, making the difference close to 0.

The answer 19\24 is not reasonable because ​5\6​ is closer to 1 than to ​1\2​, and ​3\8​ is close to ​1\2​, making the difference close to 1\2. ​

The answer​ 19\24 ​is not reasonable because ​5\6​ is closer to ​1\2​ than to 1, and ​3\8​ is closer to 0 than to ​1\2, making the difference close to​ ​1\2​.

Answers

Answer:

The answer 19\24 is not reasonable because ​5\6​ is closer to 1 than to ​1\2​, and ​3\8​ is close to ​1\2​, making the difference close to 1\2. ​

Step-by-step explanation:

Answer:

1/2 1 0

Step-by-step explanation:

please help
15 marks

Answers

Step-by-step explanation:

12a. y-y1=m(x-x1)

y-5=(2-5)/(1--3)(x--3)

y-5=-3/4(x+3)

4y-20=-3x-9

4y=-3x-9+20

4y=-3x+11

y=-¾x+11/4

12b.

Perpendicular lines have the product of their gradient equal to -1

For L1,the gradient is 3

For L2,we express in slope-intercept form

6y=1-2x

y=1/6-⅓x

The slope is -⅓

Now product of both slopes 3×-⅓=-1,thus the lines are perpendicular

Can someone help plz

Answers

Here’s ur help The answer is 571

What is the quotient of 3.55 x 106 and 7.1 x 102 expressed in scientific notation?
PLEASE HELP THIS IS FOR A TEST

Answers

Answer:

[tex]5\times10^3[/tex]

Step-by-step explanation:

[tex]3.55\times10^6 \div 7.1 \times 10^2[/tex]

Exponents are positive:

[tex]3.5.5.0.0.0.0. = 3550000[/tex]

[tex]7.1.0.=710[/tex]

[tex]3550000 \div 710 = 5000[/tex]

Convert back into scientific notation:

[tex]5000 = 5 \times 10^3[/tex]

[tex]= 5 \times10^3[/tex]

Hope this helps.

Answer: 5 x 10^3

Step-by-step explanation:

Help me this question is so hard i fried up my brain yesterday working on it for so long!!!!

Answers

Hello there! (:

The answer is 9.

3^4=3*3*3*3 (81)

3^2=9

81:9=9

So the answer is 9.

Hope it helps! If you have any question or query, feel free to ask! (:

~An excited gal

[tex]SparklingFlower[/tex]

Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate would express the speed of Kendra's bike ride? (4 points)

Group of answer choices

2 blocks per minute

10 blocks per minute

3 blocks per minute

4 blocks per minute

Answers

Answer:

3 blocks a minute

Step-by-step explanation:

so if she rides her bike 30 blocks in 10 minutes in means she rides at a pace of 3 blocks a minute

HELP ME OUT PLEASE!!!
WILL GIVE BRAINLIEST!!!

Answers

Answer:

-4 9/10, -4 3/4, -4.2

Step-by-step explanation:

A. -4.9

B. -4.75

C. -4.2

ANSWER:

-4 9

10

-4 3

10

-4.2

Step-by-step explanation:

HOPE IT HELPSSSS

( WILL GIVE BRAINLY IF IM ABLE TO) Select the correct answer.
A recipe for a loaf of bread calls for of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
A.
18
B.
16
C.
15
D.
12
E.
8

Answers

Answer:

Answer d

Step-by-step explanation:

Answer:

12 Loaves of bread :D

Step-by-step explanation:

hope that helped , have a great day !!

Jonas has bought three t-shirts. Each t-shirt was the same price. After using a 10% off coupon the total charge was 95 what was the cost of each t-shirt

Answers

Answer:

35 5/27

Step-by-step explanation:

You just have to set up an equation:

0.9/95 = 1/x

And if you cross-multiply, you get:

0.9x=95

Which means x is 95/0.9 which is 105 5/9. So, if all three t-shirts costed 105 5/9, and they all costed the same, then one t-shirt costs 35 5/27.

Find the perimeter of a rectangle whose length is 12 longer than its width
with an area of 45 square feet. To earn 5 points write the mathematical
sentence, the value of Length, width and perimeter

Answers

Answer:

l = 21

w = 9

P = 60

Step-by-step explanation:

l = 12 + w

A = l*w = 45

substitute l = 12 +w

45 = (12 + w) * w

45 = 12w + w^2

w^2 + 12w - 45 = 0

w^2 + 2*6*w +36 = 45 + 36 (added 36 on both sides 6^2)

(w + 6) ^2 = 45+36 = 81

w + 6 = +-9

As width cannot be negative w = 9

so l = 12 + 9

= 21

Perimeter = P = 2 (l + b)

= 2 ( 21 + 9)

= 2 (30)

= 60

Quiz 2
You might need: Calculator
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had
350 pages left to read.
Let y represent the number of pages left to read after a hours.
Complete the equation for the relationship between the number of pages left and number of hours.
y =

Answers

Rate of read=55pages/h

Total pages read after 4h

[tex]\\ \sf\longmapsto 4(55)=220pages[/tex]

Pages left=350

Now

[tex]\\ \sf\longmapsto y=350+220[/tex]

[tex]\\ \sf\longmapsto y=570[/tex]

A pizza buffet has prepared 15 pizzas to place on the line at the beginning of lunch at 11:00 a.m. The equation used to describe the total number of pizzas that have been placed out on the buffet line is shown below.


y = 11x + 15


If x represents every 8 minutes after 11:00 a.m, which statement best describes the rate of change in the number of pizzas set out on the buffet?


A.

Every 16 minutes, 11 more pizzas were set out on the buffet.

B.

Every 16 minutes, 22 more pizzas were set out on the buffet.

C.

Every 16 minutes, 32 more pizzas were set out on the buffet.

D.

Every 8 minutes, 21 more pizzas were set out on the buffet.


HELP!!!

Answers

Answer:

B. Every 16 minutes, 22 more pizzas were set out on the buffet.

Step-by-step explanation:

At 11:00 am, x would be equal to 0, and there would be 15 pizzas on the buffet line. Then, every 8 minutes, 11 more pizzas are added to the buffet line. So in 16 minutes, 22 pizzas will be added to the buffet.

[tex]\frac{16}{8} =2\\(11)(2) = 22[/tex]

In each bouquet of flowers, there are 2 roses and 5 white carnations. Complete the table to find how many roses and carnations there are in 4 bouquets of flowers.

Answers

Answer:

28roses 70carnations

Step-by-step explanation:

4+6+8+10=28

10+15+20+25=70

Maybe i think

pasagot po please
answer it please​

Answers

Answer:

24 I hope help you yieeeeeee

Answer:

ummmmmmmmmmm itsssssssss

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

[tex]18 {m}^{2} [/tex]

Step-by-step explanation:

[tex]area \: = 6m \times 4m \\ = 24 {m}^{2} \\ \\ grass \: area = 3m \times 2m \\ = 6 {m}^{2} \\ \\ cement \: area \: = 24 {m}^{2} - 6 {m}^{2} \\ = 18 {m}^{2} [/tex]

Answer:

18 m^2

Step by step explanation:

In these types of math problems, we have two ways to solve.

1) Directly find the area of the shaded area.

2)Find the unshaded area and then minus that from the total area.

In this case, I will use the second way.

The grass area (unshaded) is 3 x 2 = 6 m^2 ( 6 square meters )

The total area (grass + cement) is 4 x 6 = 24 m^2 ( 24 square meters )

Now, we want the area of the cement part but the grass's area is also in the total.

So, we minus 6m^2 from 24m^2.

Then we get 18m^2.

And that is the answer.

I hope it helps.

(Note : because this problem is easy, you can use both ways but most use the second way. There may also be problems where we can use only the first or second way.)

Yall I need help plsssssss help meeeeeee

Answers

Answer:

8. Scalene

9. Isosceles

10. Scalene

plz plzz plz mark as brainliest

Which expression is equal to 3x/x+3+x−2/x

Answers

Answer: 6+x−2/x

Step-by-step explanation:

3x/x+3+x−2/x

3+3+x−2/x

6+x−2/x

================

Or, if you love crazy fractions:

3x/x+3+x−2/x

3x/x−2/x+3+x

(1/x)(3x−2)+3+x

What is 8 times larger than 3

Answers

8 x 3 = 24 for should be 24

Only because 8 times larger than three seems like a multiplication problem..

I hope this helps if it is correct!

Answer:

(8+1) x 3 = 27

Step-by-step explanation:

this is correct rather than 8 x 3 = 24 because both sides of 8x3=24 are equal rather than the sum being greater than the statement.

Determine if the ordered pairs (1. - 2) and (-4,2) are solutions of the following linear inequality in two variables.
-X<-y
.
Is the ordered pair (1. - 2) a solution of the linear inequality?

Is the ordered pair (-4,2) a solution of the linear inequality?

Answers

Answer:

First is, second is not.

Step-by-step explanation:

Start plugging them!

[tex]-(1) < -(-2) \rightarrow -1 < 2 \\ \\- (-4) < -(2) \rightarrow 4 < -2[/tex]

First one is true, so the pair is a solution.

Second is false, (4 is obviously bigger!) so it's not a solution.

If you end up having to check multiple values, your best bet is to draw the solutions on a convenient plane and see where the points lay

Write an equation of a line in slope-intercept form with the given slope and y-intercept:

slope: 3/4 ; y-intercept: -8

Answers

Answer:

y=3/4x-8

Step-by-step explanation:

Which expression is undefined?

Answers

Answer:

D

Reasoning:

Anything that is divided by zero is undefined.

If given 5 miles is 8km convert 13.5 miles into km

Answers

Step-by-step explanation:

There are 2 ways we can do this. We can use our friend which we will call a special device or we could actually solve using formulas we already know. Today, I will be using a formula but you can easily just use the secret device.

Step 1: Knowing the formula which is multiply miles by 1.609 and then round to the nearest tenth or hundredth.

13.5 X 1.609 = 21.7215.

Round down to 21.7.

Final Answer: 21.7 Km is equal to 13.5 miles or vice versa.

I need some help with this problem

Answers

B because the answer says 195 and remainder of 15 beet roots

Answer:

B is going to be our answer

Step-by-step explanation:

We said that we want each row to contain 40 beets

We divided and got 195 rows, with a remainder of 15.

This makes statement B true.

The greatest possible number whose digits are all even numbers from 1 to 9

Answers

Answer:

8642

Step-by-step explanation:

Our even numbers from 1-9 are:

2,4,6,8

The largest possible number using the even numbers once is 8642.

Hoped this helped

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