Graph two more functions in the same family

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope-intercept of the line equation is

[tex]y = mx + b[/tex]

where m is the slope and b is the y-intercept

Please note that a linear equation contains no powers of x besides.

For example, the equation of the form

y = 2x+3

has the slope m = 2 and y-intercept b = 3

The graph is shown below.

Let us graph two more functions of the same family by changing the parameter of y-intercept b.

Graphing y = 2x+5

y = 2x + 5

has same slope m = 2. But, the y-intercept b = 5

The graph of y = 2x+5 is attached below.

Graphing y = 2x+7

y = 2x + 7

has same slope m = 2. But, the y-intercept b = 7

The graph of y = 2x+7 is attached below.

Thus, we would have the following graphs of the family of linear functions.

y = 2x+3y = 2x + 5y = 2x + 7

Please notice that all the functions have the same slope m = 2. Thus, all the lines would be parallel.

Thus, from the graph, it is clear that:

The red line represents the function y = 2x+3 with the y-intercept (0, 3)The blue line represents the function y = 2x+5 with the y-intercept (0, 5)The green line represents the function y = 2x+7 with the y-intercept (0, 7)

The graph is attached below.

Graph Two More Functions In The Same Family

Related Questions

plzzzzzzzzzzzzzzzzzzzz

Answers

Step-by-step explanation:

1. 6s⁹ t³

2. y³ + 3y² + 3y + 1

hope it helps!

The answer should be only
1) 6s9t3
2) y3+3y2+3y+1

what is the gradient of a line with an equation of 3x-2y-6=0​

Answers

Answer:

Slope m = 3/2

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define Equation

3x - 2y - 6 = 0

Step 2: Rewrite

Find slope-intercept form

Subtract 3x on both sides:                    -2y - 6 = -3xAdd 6 on both sides:                             -2y = -3x + 6Divide -2 on both sides:                         y = 3/2x - 3

Step 3: Break Function

Identify Parts.

Slope m = 3/2

y-intercept b = -3

Is Y=MX^2+B a function?

Answers

Answer:

I don't think so but I am not for sure

Step-by-step explanation:

use the distributive property to rewrite the expression 3 (2+11)

Answers

Answer:

3(2+11) = 3x2 + 3x11

Step-by-step explanation:

need help I will mark brainliest ​

Answers

Answer:

it's true

Step-by-step explanation:

please mark me as brainliest thank you

Which relations are functions?

Select Function or Not a function for each graph.

Answers

Answer:

The graph is a function

General Formulas and Concepts:

Algebra I

Vertical Line Test - each x-value must have its own y-value

Step-by-step explanation:

When we apply the Vertical Line Test to the parabola in the graph, we see that it passes it. Therefore, the graph shown is a function.

Five members of the Varsity Math team are running late for a big
competition and hurrying toward the arena - but they forgot that they would
have to cross the stream that cuts through campus. When they reach the
stream, there's a small boat tied up on their side that they can "borrow” to get
to the other side.
The boat will hold one, two or three of the students, but not more.
Fortunately, two of the team members are also on the crew team, and when
the boat contains only one or both of them, they can make it across the stream
in one minute. Unfortunately, the other three teammates are very
inexperienced with boats, and when any of them is aboard, there is so much
awkwardness and flailing that the crossing will take four minutes, regardless
of whether one of the crew teammates is on board.

Answers

Answer: What is the question?

Find the area of Pentagon ABCDE in which BL perpendicular to AC, CM perpendicular to AD, EN perpendicular to AD such that AC = 8 cm, AD = 12 cm, BL = 4 cm, CM = 6 cm and EN =5cm.​

Answers

Answer:

Area ABCDE = 82 cm²

Step-by-step explanation:

ABCDE = ΔEAD + ΔDAC + ΔCAB

ABCDE = (12×5)/2 + (12×6)/2 + (8×4)/2 = 30+36+16 = 82

Which expression represents a number that is 8 times as large as 19, 520 - 1,478?

Answers

Answer:the answer is 154682

Step-by-step explanation:

If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?

Answers

Answer:

The answer for the first part would be 3.89 minutes for the eight graders. There are 60 seconds in one minute so you’d have to take away 29 and add it to the full 4 minutes, which makes the 8th graders best time for the race 4.29 minutes. That’s more than 4 minutes, so the seventh graders would earn the points instead.

Step-by-step explanation:

The seventh graders would earn the points instead and awarded 40 points.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points.

If not, the seventh graders earn 40 points.

There are 60 seconds in one minute so, we have to take away 29 and add it to the full 4 minutes, which makes the 8th graders best time for the race 4.29 minutes.

That’s more than 4 minutes, therefore, the seventh graders would earn the points instead.

Hence, 3.89 minutes for the eight graders.

The seventh graders would earn the points instead and awarded 40 points.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

What is the solution to the system below?
y = 5x - 9
y = x + 3

Answers

.

Since left sides are identical, right sides are equal


5x - 9 = x + 3


Simplify and find x


5x - x = 3 + 9

4x = 12

x = 12/4 = 3.


Then from either of the two given equations, y = 6.


ANSWER. The solution is (x,y) = (3,6).

What is the solution for the system below?

y = 5x - 9

y = x + 3

ANSWER : x = 3 and y = 6

DISCUSSION

The method of elimination is a method by which one of the variables is eliminated so that the remaining variables are subsequently searched for the satisfactory value.

Is known

Equation 1 : y = 5x - 9

Equation 2 : y = x + 3

Asked

x?

y?

Answered

Equation 1

y = 5x - 9

- 5x + y = - 9

5x - y = 9

Equation 2

y = x + 3

- x + y = 3

Elimination Equation 1 dan 2

5x - y = 9

- x + y = 3

--------------- +

4x = 12

x = 3

Obtained x = 3

Substitute x = 3 to equation 2

- x + y = 3

- ( 3 ) + y = 3

- 3 + y = 3

y = 3 + 3

y = 6

PROOF IF x = 3 and y = 6

5x - y = 9

5 ( 3 ) - ( 6 )

15 - 6 = 9

Conclusion

so the x and y values for the system are

x = 3 and y = 6

Learn more,

1. Quadratic equations

https://brainly.co.id/tugas/37268111

2. Quadratic equations

https://brainly.co.id/tugas/37258211

3. Quadratic equations

https://brainly.co.id/tugas/37238146

DETAIL ANSWER

Grade : 8th

Course : Mathematics

CHAPTER : Variable Equation 2

Code : 8.2.5

the 20% discount on a $55 on a sweatshirt

Answers

Answer:

44

Step-by-step explanation:

The price of a share of stock in JZMobile was $74 two weeks ago. Seven weeks ago, the price was $59 a share. Which linear equation to find the price p of a share of JZMobile w weeks from now?
A. p=5w+64
b. p=104-15w
c. p=80-3w
d. p=68+3w
ILL GIVE BRAINLIEST IF YOU EXPLAIN

Answers

Given:

The price of a share of stock in JZMobile was $74 two weeks ago.

Seven weeks ago, the price was $59 a share.

To find:

The linear equation to find the price p of a share of JZMobile w weeks from now.

Solution:

Let, p be the price of a share of JZMobile w weeks from now.

The price of a share of stock in JZMobile was $74 two weeks ago. It means, the graph of linear equation passes through (2,74).

Seven weeks ago, the price was $59 a share. It means, the graph of linear equation passes through (7,59).

The graph of linear equation passes through two points (2,74) and (7,59). So, the linear equation is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-74=\dfrac{59-74}{7-2}(x-2)[/tex]

[tex]y-74=\dfrac{-15}{5}(x-2)[/tex]

[tex]y-74=-3(x-2)[/tex]

[tex]y-74=-3x+6[/tex]

Adding 74 on both sides, we get

[tex]y=-3x+6+74[/tex]

[tex]y=-3x+80[/tex]

[tex]y=80-3x[/tex]

Therefore, the correct option is C.

2020-21
19 of 35
Text-to-Speech
19. Brian bought a new jacket at a discount of 30%. If the original price was $65, how
much did Brian pay for the jacket?

Answers

Answer: Brain paid $ 45.5 for the jacket.

Step-by-step explanation:

Given: Original price of jacket = $ 65

Discount -= 30%

Price after discount = Original price - 30% of Original price

= 65 - 30% of 65

= 65 - (0.3) x 65    [30% = 0.3]

= (65)   (1-0.3 )             [Taking 65 common]

= (65)(0.7)

= $ 45.5

Hence, Brain paid $ 45.5 for the jacket.

Simplify. Rewrite the expression in the form 8^n. (8^−8 )(8^3)

Answers

Answer:

Step-by-step explanation:

what is the measure of angle 4??? please help asap!!!

Answers

Answer: 80 degrees

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

Explanation:

Angle 3 and the 100 degree angle are corresponding angles. They are both in the southeast quadrant of their four-corner angle configuration. Assuming the lines that look horizontal are parallel, this would mean angle 3 is 100 degrees. Recall that corresponding angles are congruent when we have parallel lines.

Once we know that angle 3 = 100, we will use this to find angle 4.

Angles 3 and 4 add to 180. They form a straight angle or straight line.

(angle3)+(angle4) = 180

(100) + (angle4) = 180

angle4 = 180-100

angle4 = 80 degrees

80 degrees

because angle 4=angle8 and since angle 8+ 100degrees= a straight line (180 degrees) angle 4=80

Please solve these two. Emergently, Thank you.

Answers

Answer:

(D) 1/2 - 3√3/4π

Step-by-step explanation:

Problem 22 is not fully visible with missing detailsProblem 25 is solved only

Diameter = 20 cm → radius = 10 cm

Each triangle has its side equal to radius = 10 cm

Each shaded region is the difference of area of the sector and triangle

Each sector is 60° as triangles are equilateral

Area of circle is:

πr² = 100π

Area of each triangle is:

√3/4a² = √3/4r²= 100×√3/4

So the shaded area is:

3(πr²/6 - √3/4a²) = 3(π×10²/6 - √3/4×10²) =100(π/2 - 3√3/4) = 100π(1/2 - 3√3/4π)

Since 100π is the area of circle, the shaded area is:

1/2 - 3√3/4π part of area of circle if we divide the shaded area by the area of circle.

Correct choice is D

You work delivering food for a local farmer. You sell eggs from the farm at a price of 3 for $2.00, 6 for $3.50, 12 for $6.00, and 24 for $13.00. What is the best deal for buying eggs?

A.
3 eggs for $2
B.
6 eggs for $3.50
C.
12 eggs for $6.00
D.
24 eggs for $13.00

Answers

Answer:

The 12 egg offer.

Step-by-step explanation:

Find the unit price for each. Then make them common denominators. Like 3 eggs for 2 dollars is for 1 egg, 2/3 dollars. After getting the unit price for all of them, get the common denominators of 24. Then we see which numerator is the lowerst, since we want the lowerst price. We find 12/24, or the 12 egg offer.

Combine like-terms of 6x-2x-2=-3x+4(x+7)

Answers

3x-2 = 3x+4x+28x

3x-2 = 7x + 28

Ian is buying apples at the farmer’s market.

The apples come in packages of different sizes.

Choose the package that is the best buy.

A. 2 lb for $4.98

B. 5 lb for $12.25

C. 8 lb for $18.80

D. 10 lb for $23.70

Answers

B because the apple come in different ways

OK easy for some (really a lot) just help me

Answers

the third option!! the subtraction one

Can someone help me with this please.

Answers

TU: 8
WU: 10
TX:5
TV: 10

Which of the decimal value given below is the largest?

0.52
0.052
0.0052

Answers

0.52 because 52/100 is better than 52/1000 and 52/10000

Write the equation of the line in slope-intercept form that goes through the points: (2,4) and (7,-1)

Answers

Answer:

y= -x+8

Step-by-step explanation:

slope int. form: y=mx+b

first, we need to find the slope (m)

the two points are (2,4) and (7,-1).

to find the slope we do (y2-y1)/(x2-x1)

doing this we get -5/5=-1

now we can plug in point (2,4) and the slope into y=mx+b

doing this we get:

4=-1(2)+b

4=-2+b

b=8

now we have the equation:

y= -x+8

Yes what the person above me said it’s probably right they sound like they know what they r doing

(I’ll give brainliest)

Answers

Answer:

letter choice A and C

Step-by-step explanation:

jshdhd

On a school trip the ratio of teachers to students is 2:5.
There are 60 students on the trip.
Work out the total number of people in the trip

Answers

Step-by-step explanation:

teacher to student:

2:5

student: 60

teacher?

2:5=24:60

total:84....

m not sure

There’s 150 adults so 210 people all together

Please help thank you

Answers

C because I did the mean value theorem and got that as the solution.

Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°​

Answers

Answer:

complementary means that their measures add up to 90 degrees. since they're also congruent, they have to be the same measure.

90/2= 45 degrees which is your answer

Step-by-step explanation:

I hope this helps :)

Answer:

45 degrees

Step-by-step explanation:

i just took the test on edge

15 kg more sugar can be bought as a result of the 20% increase of the price of sugar at Tk. 4500, what is the price of the sugar at present?​

Answers

Answer:

The current price is Tk. 3750

Step-by-step explanation:

Given:

[tex]\%\ Increase = 20\%[/tex]

[tex]New\ Price = Tk.\ 4500[/tex]

Required

Determine the current price

Percentage increment is calculated using the following formula:

[tex]\%\ Increase = \frac{New - Old}{Old}[/tex]

In this case, we have:

[tex]\%\ Increase = \frac{New\ Price - Old\ Price}{Old\ Price}[/tex]

Substitute values for % increase and New Price

[tex]20\% = \frac{4500 - Old\ Price}{Old\ Price}[/tex]

Cross Multiply

[tex]20\% *Old\ Price= 4500 - Old\ Price[/tex]

Convert percentage to decimal

[tex]0.20*Old\ Price= 4500 - Old\ Price[/tex]

Collect Like Terms

[tex]Old\ Price+0.20*Old\ Price= 4500[/tex]

Factorize:

[tex]Old\ Price(1+0.20)= 4500[/tex]

[tex]Old\ Price(1.20)= 4500[/tex]

Solve for Old Price

[tex]Old\ Price= \frac{4500}{1.20}[/tex]

[tex]Old\ Price= 3750[/tex]

Hence, the current price is Tk. 3750

Help will give braniest answer to person who is correct find the degree measure of each angle in the triangle

Answers

Answer:

Angle I = 90 degrees

Angle J = 61 degrees

Angle K = 29 degrees

Step-by-step explanation:

Angle I is given

We know that the angles in all triangles add up to 180. Since we are given that angle I is equal to 90 degrees, we now know that angle J + angle K = 90 degrees:

(5x+26) + (2x+15) = 90

Solve for X:

7x + 41 = 90

7x = 49

x = 7

Angle J =  (5x + 26) = (5(7) + 26) = 61

Angle K = (2x + 15) = (2(7) + 15) = 29

Checking your work: 61 + 29 = 90

Answer:

[tex] m\angle I = 90\degree [/tex]

[tex] m\angle J= 61\degree [/tex]

[tex] m\angle K = 29\degree [/tex]

Step-by-step explanation:

(5x + 26)° + (2x + 15)° = 90°

(5x + 26 + 2x + 15)° = 90°

(7x + 41)° = 90°

7x + 41 = 90

7x = 90 - 41

7x = 49

x = 49/7

x = 7

[tex]m \angle \: I= 90 \degree \\ \\ m \angle \: J=(5x + 26) \degree = (5 \times 7 + 26) \degree \\ \\ m \angle \: J = (35+ 26) \degree \\ \\ m \angle \: J= 61\degree\\ \\ m \angle \: K=(2x + 15) \degree = (2 \times 7 + 15) \degree \\ \\ m \angle \: K = (14+ 15) \degree \\ \\ m \angle \: K = 29\degree[/tex]

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