The equation of a line is shown.
6x – 3y = 5
A dilation centered at the origin with a scale factor of 6 is applied to this line.
A. What is the slope of the line after the dilation?
B. What is the value of the y-intercept of the line after the dilation?

Answers

Answer 1

Answer:

my guess would have to be

A. slope= 4      

B. y-intercept= 23/3 or 7  2/3(simplified)

Step-by-step explanation:

im not sure how accurate my answer would be but what i did was put the equation in slope intercept form and added 6 for the dilatation to all factors of the equation.

Answer 2

The slope is 2/3.

The y-intercept is -5/3.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line.

6x - 3y = 5

Now,

To apply a dilation with a scale factor of 6 centered at the origin.

We multiply both sides by 6.

So,

6 (6x - 3y) = 6 x 5

Now,

Simplifying.

36x - 18y = 30

Dividing both sides by 18.

2x - y = 30/18

2x - y = 5/3

Now,

Writing in slope-intercept form.

y = mx + c

So,

y = 2x - 5/3

This means,

Slope m = 2

y-intercept c = -5/3

Thus,

The slope is 2/3.

The y-intercept is -5/3.

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Related Questions

PLEASE HELP ME KSDAKJDSAJDJKS

Answers

Answer: x = 16

Step-by-step explanation:

60x - 60 = 900

60x = 960

60x / 60 = 960 / 60

x = 16

Part B What is the unit for Warren’s data?
This is due tommorrow at 12:44PM!!!!!!!!

Answers

Answer: The unit for Warren’s data is the number of cars sold each day.

Sorry for the answer being so late!

Todd has $56.24 in his bank account. After his paycheck was deposited, he had $224.96 in his account. How much was his paycheck?

Answers

The amount that would be in his paycheck is 168.24

Paul has a pocket full of 150 coins containing pennies, nickels and dimes. If 24% of his coins are pennies, and 51 of his coins are nickels, how many dimes does he have?​

Answers

Answer:He has 63 dimes

Step-by-step explanation:

Hope this helps!

24% of 150=36

51+36=87

150-87=63

A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.

How many years will the lab have to safely

store the material before disposal?

Answers

Answer:

The lab will have to wait 19.45 yers to safely store the material before disposal.

Step-by-step explanation:

Exponential equation for substance decay:

A exponential equation for the amount of a substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Decays at 3.5% per year.

This means that [tex]r = 0.035[/tex]

So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]A(t) = A(0)(0.965)^{t}[/tex]

How many years will the lab have to safely store the material before disposal?

It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So

[tex]A(t) = A(0)(0.965)^{t}[/tex]

[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]

[tex](0.965)^t = 0.5[/tex]

[tex]\log{(0.965)^t} = \log{0.5}[/tex]

[tex]t\log{0.965} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]

[tex]t = 19.45[/tex]

The lab will have to wait 19.45 yers to safely store the material before disposal.

Ten years ago, the average amount of time a family spent eating supper together was 27.8 minutes. A sociologist believes this average has decreased. She randomly selects a sample of 12 families and finds the sample average to be 24.307 minutes. The sample data look about bell-shaped. She calculated a test statistic of t

Answers

What r the questions

Mr. Johnson sold a new tv that was $450. If he earns 7% commission, how much money will he make in commission?

Answers

Answer:

$31.50

Step-by-step explanation:

A survey was conducted to determine how many movies were seen in one month among the 26 students in Mrs. Hampton’s sixth-grade class. The results are shown in the dot plot below.



a) Calculate the measures of center for the data in the dot plot, rounding your answers to the nearest tenths place. Show how you determined your answer. (2 points)

Answers

Answer:

in the question,there is no dot plot

PLEASE HELP
I will give brainliest to right answer

Answers

Answer:

I'm pretty sure it is D because they're not super close to the line they're more spread out but I'm not rly sure

A good guess is D, I think it is though

Need Help Geometry Question I will give brainliest

Answers

Answer:

if u just scan that with photo math it will give u answer and explanation :) hope that helped i am sorry i don't know the anwswer

Step-by-step explanation:

math is so hard:

For which function is the ordered pair (4, 12) not a solution?

1. y = 3 x
2. y = 16 - x
3. y = x + 8
4. y = 8 - x

what’s the answer?

Answers

Answer:

4. y = 8 - x is the right answer

Answer:

4. y = 8 - x

Step-by-step explanation:

The question asks for which function is the ordered pair not a solution?

We need to substitute the ordered pair (4, 12) into x and y.

1. 12 = 3(4) (correct)

2. 12 = 16 - 4 (correct)

3. 12 = 4 + 8 (correct)

4. 12 = 8 - 4 (incorrect)

Therefore, the solution to your question is option 4.

The length of a rectangle is 12 miles less than twice the width. The perimeter of the rectangle is 96 miles. Find the dimensions of the rectangle.

Answers

Answer:

Length= 68 miles

Width=28 miles.

Step-by-step explanation:

Length=2x+12

Width=x

2x+12+x=96

3x+12=96

3x=96-12

3x=84

X=28

Width=28

Length=(2×28)+12=68

Negative nine times a
number equals -117.

Answers

-9 times 13 = -117 !!!!

Solve for x. Round to the nearest tenth.
15°
33
x

Answers

The length of x in the right triangle is 31.9 units.

How to solve the side of a right triangle?

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the side of a right triangle can be found using trigonometric ratios as follows:

Hence,

cos 15° = adjacent / hypotenuse

adjacent side = x

hypotenuse side = 33 units

cos 15° = x / 33

cross multiply

x = 33 cos 15°

x = 33 × 0.96592582628

x = 31.8755522675

Therefore,

x = 31.9 units

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What is the degree of 4x6 - 2x3 + x-3 + x3?
Answer here
What’s the answer

Answers

Answer:

=4x6−x3+x−3

Step-by-step explanation:

Answer:

The degree of this polynomial is 6

Step-by-step explanation:

You write the greatest exponent

To investigate housing needs in the future, a town planning committee
created a model to help predict the growth of the population of the town. The
data are shown in the table.

Answers

Answer:

P(t) = 5.24(1.030)^t

Step-by-step explanation:

The model for P(t) , the population of the town, t years after 1985, best fits the data is option C. P(t) = 5.35 (1.029)^t.

What is Population Growth?

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Population growth is an exponential function.

So, the function will be of the form,

P(t) = a (b)^t

Initial population is the population in 1985.

P(0) = a (b)⁰ = 5.35

⇒ a × 1 = 5.35  (Since any number raised to 0 is 1)

⇒ a = 5.35

Population in 1990, that is after 5 years is,

P(5) = a (b)⁵ = 6.01

⇒ 5.35 (b)⁵ = 6.01

⇒ (b)⁵ = 1.123

⇒ b = 1.024

So the function which best models is P(t) = 5.35 (1.029)^t.

Hence the function is C. P(t) = 5.35 (1.029)^t.

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Your question is incomplete. The complete question is given in the image below.

the equation y=ax describes the graph of a line if the value of a is negative the line

Answers

Answer:

Goes up and to the left

Step-by-step explanation:

Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .

Answers

Answer:

Y= -3/2x + 2

If the y-intercept was negative it would be y= -3/2-2

12 points and brainliest pls and thank you ! (no unknown links or ill report u and ur whole acc)

Answers

Answer:

13

cuz one of those square part = to 90 degrease

so 77 degrease is already shown so minus 90-77

and u get 14

Answer:

x = 13°

Step-by-step explanation:

Angles 77° and BGE are vertical and thus equal angles.  Angle x and BGE are complementary angles; thus, x + 77° = 90°.  Solving this for x, we get:

x = 13°

What fraction of the catapults flung a marshmallow 30 inches or less?

Answers

Answer:

1/4

Step-by-step explanation:

Each whisker represents 1/4 of data

A cell phone plan charges $19.90 a month, plus $0.05 per text message

Create & solve an inequality that represents the number of texts, t, that can be

sent while still keeping the monthly bill under $25?

Answers

Answer:

[tex]19.9+0.05t<25[/tex]

Less than 102 text messages.

Step-by-step explanation:

Monthly charge of cell phone = $19.90

Cost of one text message = $0.05

Let number of text messages be [tex]t[/tex]

The monthly bill should be less than $25. So,

[tex]19.9+0.05t<25[/tex]

The required inequality is [tex]19.9+0.05t<25[/tex]

[tex]19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<\dfrac{5.1}{0.05}\\\Rightarrow t<102[/tex]

So, the number of text messages that can be sent while keeping the bill under $25 is less than 102.

For the equation, y = 12x, what is the slope of the line?

Answers

the equation for slope is y=mx +b. the M being slope. Which means your slope would be 12. and your constant (b) would be zero.

Dionne can fold 175 packing boxes in 50 minutes.
Elias can fold 120 packing boxes in 40 minutes.

Use unit rates to find how much time it will take each person to fold 210 packing boxes.
Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
370803.54.550604
Dionne can fold
boxes in 1 minute and Elias can fold
boxes in 1 minute.
Dionne will fold 210 boxes in
minutes and Elias will fold 210 boxes in
minutes.

Answers

REFER THE ATTACHMENT ABOVE ☝☝☝☝

Answer:

[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]

RESULT

Use ratio and proportion.

Let x be the time it takes Dionne to fold 210 packing boxes:

[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]

So, it will take Dionne 60 minutes to fold 210 packing boxes.

Let y be the time it takes Elias to fold 210 packing boxes:

[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]

So, it will take Elias 70 minutes to fold 210 packing boxes.

A square sandbox has sides that are 10 feet long. What is the sandbox's area?

Answers

Answer:

0.0929

Step-by-step explanation:

thats the answer

Round the fraction to 0, 1/2, or 1.



2/9

Answers

It rounds to zero! lmk if you need anything else

Trapezoid ABCD has an area of 525 cm squared. If height AB = 21 cm and BC = 37 cm, what is the measure of AD?​

Answers

Answer:

AD = 13

Step-by-step explanation:

Area of trapezoid ABCD

[tex] = \frac{1}{2} (AB + AD) \times AB \\ \\ 525= \frac{1}{2} (37+ AD) \times21\\ \\ 525 \times 2= (37+ AD) \times21 \\ \\ 1050 = 21 \times 37 + 21AD \\ \\ 1050 = 777+ 21AD \\ \\ 21AD = 1050 - 777 \\ \\ 21AD = 273 \\ \\ AD = \frac{273}{21} \\ \\ AD = 13[/tex]

Which function models the sum?

Answers

I can’t see it I just see black

HELP PLS!!!
120=x-523?

Answers

Answer:

-62760

Step-by-step explanation:

move 523 to the other side, making it positive
523+120=x
643=x

how do I solve "k−26.5=99.1"

Answers

Answer: =125.6

Step-by-step explanation:

Add 26.5 to both sides of the equation

Simplify

Find the 96th term of the arithmetic sequence-30,-32,34

Answers

Answer:

a = -30

d = -32 - (-30) = -2

n = 96

So, using A.P. formula-

Tn = a + (n-1) d

T96 = -30 + (96-1) -2

T96 = -30 + (95) -2

T96 = -30 - 190

T96 = -220

plz mark as brainliest

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