A function represented by the equation y=1/3x + 4 is a graph on a coordinate plane. What will happen to the line if the slope is changed to 2/3?

Answers

Answer 1

Answer:

Graph of the new function will be vertically stretched by 2 units.

Step-by-step explanation:

A linear function is represented by the equation, y = [tex]\frac{1}{3}x+ 4[/tex]

This function has the slope = [tex]\frac{1}{3}[/tex] and y-intercept = 4

If this function is stretched vertically by 'k' the the equation of the new function will be,

y = [tex]a(\frac{1}{3})x+ 4[/tex]

y = [tex]\frac{a}{3}x+4[/tex] ---------(1)

If the slope of this equation is changed to [tex]\frac{2}{3}[/tex],

New equation of the function will be,

y = [tex]\frac{2}{3}x+4[/tex] ---------(2)

Comparing equations (1) and (2),

a = 2

Therefore, graph of the new function will be stretched vertically by 2 units.


Related Questions

HELP ASAP

a country's population in 1993 was 85 million.
In 1996 it was 90 million. Estimate
the population in 2015 using the exponential
growth formula. Round your answer to the
nearest million.

Answers

129 million I took the application already

Please Help Quick ASAP Hurry
Find the constant of variation for the relationship shown in the following table:

x 1 2 3 4
y 4 8 12 16

A. 1
B. 2
C. 3
D. 4

Answers

Answer:

vfca

Step-by-step explanation:

vaddavavthui sn fa

PLEASE HELP ME ILL GIVE BRAINLIEST ITS DUE SOON OMG

Answers

Answer: He was given 50 for his birthday

Answer:

It's b

Step-by-step explanation:

This was the first answer I gave. So I am going with it.

Evaluate the expression when a= 1/4 and b = 6.
16a2 – 4b=

Answers

Step-by-step explanation:

HERE,

a=[tex]\bold{\dfrac{1}{4} }[/tex]

b=6

so,

According to the question,

[tex]\bold{16a^2-4b }[/tex]

[tex]\bold{16\times(\dfrac{1}{4})^2-4\times 6 }[/tex]

[tex]\bold{ 16\times \dfrac{1}{16}-24 }[/tex]

[tex]\bold{\cancel{16}\times \dfrac{1}{\cancel{16}}-24 }[/tex]

[tex]\bold{1-24 }[/tex]

[tex]\bold{ -23 }[/tex]

Please help with this math qs!!

Answers

Step-by-step explanation:

Find the radius: 6 ÷ 2 = 3m

Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m

Area = pi x 3cm x 3cm = 28.27m2

Given:

Diameter of circle = 6 m

The value of pi = 3.14

To be calculated:

Calculate the circumference and area of given triangle.

Formula applied:

Circumference of circle = 2πr

Area of circle = πr²

Solution:

Radius,r = diameter/2 => 6/2 = 3 m

( i ) As we know that formula of circumference,

Circumference of circle = 2πr

[tex] \bf \: \star \: putting \: the \: values[/tex]

[tex] \implies \: 2 \times 3.14 \times 3[/tex]

[tex] \implies \: 6.28 \times 3[/tex]

[tex] \implies \: 18.84 \: m[/tex]

(ii) As we know,

Area of circle = πr²

[tex] \bf \star \: putting \: the \: values[/tex]

[tex] \implies \: 3.14 \times {(3)}^{2} [/tex]

[tex] \implies \: 3.14 \times 9[/tex]

[tex] \implies \: 28.26 \: m {}^{2} [/tex]

here is a math question

Answers

Answer:

D.

Step-by-step explanation:

Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)

It’s d 100% onevehdijssjwv

Convert the following repeating decimal to a fraction in simplest form.
.6

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

0.6 is a repeating decimal in this case, so you can round it to .7

From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.

10z + 3 =9z solve for z

Answers

z=-3

Step-by-step explanation:

Answer:

z = -3

Step-by-step explanation:

10z + 3 = 9z

10z + 9z - 3

10z - 9z = -3

z = -3

yoko is saving money to buy a bike that costs 125$.She has 60 and will add an additional 5 each week.In how many weeks will she have enough to buy the bikw

Answers

Answer:

13 Weeks

Step-by-step explanation:

Yoko currently has $60 so if she gains $5 each week simply 5x13=65

$60+$65=$125

1. Water vapor given off by water, plants, and animals is called ?
A. evaporation
B. precipitation
C. condensation
D. runoff

Answers

Answer:

evaportation

Step-by-step explanation:

The vapor given off by water, plants, and animals is called evaporation.

What is evaporation?Evaporation is a type of vaporization that occurs on the surface of a liquid as it changes into the gas phase. High concentration of the evaporating substance in the surrounding gas significantly slows down evaporation, such as when humidity affects rate of evaporation of water.

Given is to find what does the water vapor given off by water, plants, and animals is called.

Evaporation is defined as the conversion of water into water vapour (into gas phase) and its release into the atmosphere. Similarly, the Water vapor given off by water, plants, and animals is called evaporation.

Therefore, the vapor given off by water, plants, and animals is called evaporation.

To solve more questions on evaporation, visit the link below -

https://brainly.com/question/320765

#SPJ2

please help!!!!

it’s due today and it’s worth 30% of my grade!!!!

Answers

Answer:

2nd one because that's the proportion a

Second option is a proportion

Can someone help me pleas

Answers

Answer:

2)6h+9c+6

Step-by-step explanation:

3(2h+3c+2)

3*2h=6h

3*3c=9c

3*2=6

6h+9c+6

Find Missing side lengths

Answers

Answer:

On the side length of the triangle

Step-by-step explanation:

On the side length of the triangle

First answer is correct

Solve for x please!!!!!nowwww

Answers

Answer:

x = 37

Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.

Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​

Answers

Answer:

use the slope equation (y2-y1) / (x2 -x1). plug in values and solve

(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)

-8 / 12 (simplify)

m = -2/3

then, plug in one of the points and the slope into the slope-point equation.

(y - y1) = m (x - x1) (the point-slope form)

y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)

y - 7 = -2/3x - 2 (add 7 to both sides)

y = 2/3x +5 (the answer)

Step-by-step explanation:

I hope this helps :))

Help I need help!!!! Please

Find the measure of each numbered angle in the rhombus. 1 5 2/3 4

Answers

Answer:

...

.

.....

..»»!»»»

„„‚„„

:-))

Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!

Answers

Answer:

1. AD

2. 5.2 cm

3. x = 4

4. BC

5. 3

6. x = 12

Step-by-step explanation:

How many of the 100 bin A items can be recycled at a specialized center?

Answers

Depending on how big the center is, I would say 15.
I hope this helped!

A compound is made up of various elements totaling 90 ounces. If the total amount of uranium in the compound weighs 18 ounces, what percent of the compound is made up of uranium? If necessary, round your answer to the nearest hundredth.

Answers

Answer:

20%

Step-by-step explanation:

The percent of the compound that is made of uranium is calculated as:

(Number of ounces of uranium /Number of ounces of the compound)

× 100

Total amount of uranium in the compound weighs = 18 ounces

A compound is made up of various elements totaling = 90 ounces.

Hence:

= 18/90 × 100

= 1800/90

= 20%

Therefore, the percent of the compound that is made up of uranium is 20%

Solve the equation for m. Show your work on the canvas. Move -n by using opposite operation. Then just write the equation as is. This is a one step equation. 4=m−n

Answers

Answer:

m = 4+n

Step-by-step explanation:

Given the expression 4 = m-n, we are to make m the subject of the formula

From the equation

4 = m-n

Rearrange

m-n = 4

Add n both sides of the equation

m-n+n = 4+n

m+0 =4+n

m = 4+n

Hence the expression for m is given as m = 4+n

Which pairs of figures are congruent? Which pairs are similar?

Answers

Answer:

put a picture with the question and I can help you

Answer:

Where’s the pic

Step-by-step explanation:

Need help with math homework

Answers

what is the question you need to ask

Micheal drove 936 miles in 13 hours at the same rate,how many miles would he drive in 9 hours

Answers

Answer:

The answer is 648 miles.

Step-by-step explanation:

936miles= 13 hours

? = 9 hours

936/ 13 = 72

72miles in 1 hour

72 x 9 = 648

648 miles in 9 hours

What is the product of d – 9 and 2d2 + 11d – 4?

2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36

Answers

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Decrease £280 by 15%

Answers

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

I need help pls help

Answers

Answer:

i do not know sorry :(

Step-by-step explanation:

PLSSSSS HELP ME!!! 80 Points!!
What is the apparent solution to the system of equations?
y = -2 +2
y=40 +7
Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the point tool.

Answers

Answer:

y=−x+2y=4x+7   NO

y=−x+2               YES

y=4x+7            

Multiply the first equation by 4, obtaining:              4y = -4x + 8

Add the 2nd equation to this result:                          y = 4x  + 7

                                                                            --------------------

                                                                                5y = 15, and y = 3

Then, using the first equation, determine x:

y = 3 = -x + 2

      1 = -x, so x = -1

The solution is (-1, 3)

Answer: (-1; 3)

Step-by-step explanation:

y = -x + 2

y = 4x + 7

4x + 7 = -x + 2

4x + 7 + x - 7 = - x + 2 + x - 7

5x = - 5

x = - 1

y = 4(-1) + 7

y = 3

Intersection point: (-1; 3)

See the solution on the photo

Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step

Answers

if mary beth jumps 42 times per minute you need to figure out how many minutes in 2 hours (120 minutes). 42x120=5,040

Answer:

5,040 jumps

Step-by-step explanation:

Let's figure out the number of jumps per hour

42 steps/minute * 60 minutes/hour = 2,520 jumps/hour

Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.

2,520 jumps/hour * 2 hours = 5,040 jumps

If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M

Answers

Answer:

d-"5"_""__"_'uvyctxycuvycycycyv

true or false? the domain of every rational function is set of all real numbers
why?​

Answers

Answer:

Its false, why? bc the domain of every rational function is need not be the set of real numbers

Step-by-step explanation:

♡ ∩_∩

(„• ֊ •„)♡

┏━∪∪━━━━┓

good luck 。 ♡

┗━━━━━━━┛

The domain values of a rational function are not only restricted to the only set of all real numbers making the given statement false

The domain of a function is the input values of the function for which it exists.

Rational functions are function that can be written as a ratio of two functions. For example given the function f(x) = 2/x-3

The domain values are the input values x. The values of x can be any values either real numbers, integers, or even natural numbers.

This means that the domain values of a rational function are not only restricted to the only set of all real numbers making the given statement false

Learn more here: https://brainly.com/question/18486099

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