Use the equation below to answer the question.
y = 3x + 6
Which equivalent equation is correctly matched with a key feature of the graph of the function it represents?
A
y = 3(x + 2) highlights that the y-intercept is at -2.
y = 3(x + 2) highlights that the y-intercept is at 2.
© y = 3(x + 2) highlights that the x-intercept is at -2.
y = 3(x + 2) highlights that the x-intercept is at 2.

Answers

Answer 1

Answer:

The equivalent equation is correctly matched with a key feature of the graph is

y = 3(x + 2) highlights that the x-intercept is at -2.

Step-by-step explanation:

Given:

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

Solution:

The Given Equation is in Slope - Point Form i.e

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

Where,

[tex]m=slope\\\\c=y-intercept[/tex]

On Comparing the given equation with above we get

[tex]slope=m=3\\\\y-intercept =6[/tex]

Now we Know that

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

There are two intercepts:

y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.

x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.

For x-intercept

Put y = 0 in

[tex]y=3(x+2)[/tex]

[tex]0=3x+6\\\\3x=-6\\\\\therefore x=\dfrac{-6}{3}=-2[/tex]

x-intercept of

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

x-intercept = -2

The equivalent equation is correctly matched with a key feature of the graph is

y = 3(x + 2) highlights that the x-intercept is at -2.


Related Questions

A pregnant woman learns she is having twins
Assuming the probability of having a girl and boy are the same, what is the probability that the twins are two girls
Enter your answer as a percent to one decimal place like this : 42.5%
I’ll put you as brainliest

Answers

Answer: I think the answer would be 50%

If the chance of having a boy or girl would be 50%, then having twins would be that probability as well.

Answer:The answer is 25%

Step-by-step explanation: 0.5x 0.5= 0.25

If its 50 % to have a boy or girl then you just multiply them.

About 4/5 of the weight of a pineapple is water. About how much water would you expect to find in 2 1/2 pounds of pineapple?

Answers

Answer:

2 pounds

Step-by-step explanation:

all you have to do is 2 1/2 x 4/5 because 4/5 is equal to 1. So if you multiply that by 2 1/2 you will get the answer

Find the greatest common factor of 10, 30 and 45

Answers

Answer:

The greatest common factor is 5.

Step-by-step explanation:

The prime factorisation of 10, 30 and 45 is,

10 = 2 × 5

30 = 2 × 3 × 5

45 = 3 × 3 × 5

The prime factor '5' is common in the factorisation of 10, 30 and 45

So, the greatest common factor of 10, 30 and 45 is 5.

A shoe company sends out 7 trucks loaded with nursing shoes that cost the company $ 1,572per truck if they send out 750 boxes per truck what would be the profit if the cost per box is $ 125.40

Answers

1572*7=11004

750*125.40=94050

94050-11004=83046

the profit is $83046

Help me with this math problem

Answers

Answer:

Weight of each large box [tex]x=15.75kg[/tex]

Weight of each small box [tex]y=13.75kg[/tex]

Step-by-step explanation:

Given:- Two equations are given,

Equation 1 :- [tex]7x+9y=234[/tex]

Equation 2:- [tex]5x+3y=120[/tex]

let,

x=weight of large box in Kilogram.

y=weight of small box in Kilogram.

Now,

multiply Equation 1 by 2 and Equation 2 by 6,

So we get 2 new equations,

Equation 3:- [tex]14x+18y=468[/tex]

Equation 4:- [tex]30x+18y=720[/tex]

Now after subtracting Equation 3 from Equation 4 we will get a new equation,

i.e. Equation 5:- [tex]16x=252[/tex]

therefore [tex]x=15.75[/tex]

now, put the value of x in Equation 1, so we will get

[tex](7x15.75)+9y=234[/tex]

[tex]110.75+9y=234[/tex]

[tex]9y=234-110.75[/tex]

[tex]9y=123.75[/tex]

[tex]y=123.75/9[/tex]

[tex]y=13.75[/tex]

So, weight of each large box i.e. [tex]x=15.75 kilogram[/tex]

and weight of each small box i.e. [tex]y=13.75 kilogram[/tex]

80 95 90 80 100 _ what goes on the blank to get a mean of 90

Answers

Answer:

95

Step-by-step explanation:

(80 + 95 + 90 + 80 + 100 + x) / 6= 90

x = 95

Answer:

95.

Step-by-step explanation:

The are a total of 6 numbers so  to make the mean 90 the total must be 6*90 = 540.

So the number in the blank is 540 - (80 + 95+90+80+100)

=  540 - 445

= 95.

PLEASE HELP!!
identify the cross section shown.
a. octagon
b. rectangle
c. trapezoid
d. triangle

Answers

Answer:

c

Step-by-step explanation:

The figure is a triangular prism

It is like  you take an iron sheet with the shape of a trapezoid  to cut the figure

The bottom part of the "sheet match the triangular base of the prism

The top part of the"sheet match the middle point of the triangular top of the prism

Find the greatest common factor of 10, 30,10,30,10, comma, 30, comma and 454545.

Answers

Answer:

GCF = 5

Step-by-step explanation:

Given:

The numbers are given as:

10, 30 and 45

A factor of a number is a number by which the given number is evenly divisible.

Example: 2 is a factor of 4 as [tex]4\div 2 =2[/tex]. So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.

Now, factors of 10 = 1, 2, 5, 10.

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 45 = 1, 3, 5, 9, 15, 45.

So, the greatest common factor in all the three numbers is 5.

Hence, the greatest common factor of 10, 30 and 45 is 5.

Write an integer for the following situation a gain of 20 pounds

Answers

Answer:

+20

Step-by-step explanation:

This is meaning to add when it says to gain

Can someone EXPLAIN how I find cf on 10. Thx

Answers

Answer:

Step-by-step explanation:

parent function is the main function the start function and transformations are the new function so parent function is y = x^2 and the transformations is down for (due to the -) and left 3 (due to the +)

HOPE THIS HELPED ;3

Answer:

so....wya

Step-by-step explanation:

The line y=-3 is what I need help

Answers

Answer:

Look at the attachment below :)

Step-by-step explanation:

When we are given just a X or a Y coordinate, we just graph that. In this example, y will always be -3 and x will be anything so its a straight line.

PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!

X= ____________

Y= ____________

Answers

Answer:

x = 11, y = 3

Step-by-step explanation:

9x + 25 and 13x - 19 are corresponding angles and congruent, thus

13x - 19 = 9x + 25 ( subtract 9x from both sides )

4x - 19 = 25 ( add 19 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Thus

13x - 19 = (13 × 11) - 19 = 143 - 19 = 124°

13x- 19 and 17y + 5 form a straight angle and are supplementary, thus

13x - 19 + 17y + 5 = 180, that is

124 + 17y + 5 = 180

129 + 17y = 180 ( subtract 129 from both sides )

17y = 51 ( divide both sides by 17 )

y = 3

Find the measure of 3. Help Plz

Answers

Answer:

∠3 = 135°

Step-by-step explanation:

∠3 = ∠1 = 135° ( corresponding angles are congruent )

Choose the solution set graphic until the correct one is displayed.
A.Infinite set of points on the line
B.Empty set
C.Points on negative x-axis

Answers

Final answer:

The solution set graphic is C - Points on negative x-axis.

Explanation:

The correct solution set graphic for this question is C - Points on negative x-axis.

To determine the solution set graphically, you would need to plot all the possible values of the equation or inequality on a coordinate plane. Option A - Infinite set of points on the line would represent a linear equation or inequality with multiple solutions. Option B - Empty set would mean that there are no solutions to the equation or inequality. Option C - Points on negative x-axis would indicate that the equation or inequality has solutions only on the negative x-axis.

What are the solutions to x2 + 8x + 7 = 0?
O
O
O
O
x=-8 and x = -7
x=-7 and x=-1
x = 1 and x = 7
x = 7 and x = 8

Answers

Answer:

x = - 1 and x = - 7

Step-by-step explanation:

Given

x² + 8x + 7 = 0 ← in standard form

(x + 1)(x + 7) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 7 = 0 ⇒ x = - 7

a bag contains 5 red, 6 white, and 5 blur marbles. a marble is drawn from the bag and replaced 32 times. the table shows the results. for which color is the experimental probability of drawing the color the same as the theoretical probability?
red:12 white: 12 blue:8

Answers

Answer:

White.

Step-by-step explanation:

Theoretical probabilities are:

Red: 5 / ( 5 + 6 + 5) = 5/16

White: 6/16 = 3/8.

Blue:  5/16.

The answer is white because it is drawn 12 times which equals its  theoretical probability: 12/32 = 3/8.

The probability of drawing the color the same as the theoretical probability is 3/8.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

A bag contains 5 red, 6 white, and 5 blue marbles.

Theoretical probabilities for the colors are:

Red:

= 5 / ( 5 + 6 + 5)

= 5/16

White:

= 6/16

= 3/8.

Blue:  5/16.

So, the probability of drawing the color the same as the theoretical probability  is white because the theoretical probability is 3/8.

Learn more about Probability here:

https://brainly.com/question/30034780

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In right triangle JKL, ZL is a right angle, mZJ = 62°, and JK = 17.
sin 62° 0.88
cos 62° 0.47
tan 62° 1.88
© 2019 StrongMind. Created using GeoGebra.
What is the measurement of JL?
If necessary, round your answer to one decimal place, like this: 42.5

Answers

Please the attachment for question.

Answer:

Measurement of JL=8

Step-by-step explanation:

Given:-

[tex]\triangle JKL\ is\ right\ angle\ triangle[/tex]

[tex]m\angle J=62\ degree[/tex]

JK=17

[tex]sin\ 62\ degree= 0.88[/tex]

[tex]cos\ 62\ degree= 0.47[/tex]

[tex]tan\ 62\ degree= 1.88[/tex]

To find measurement of JL=?

Now,

[tex]cos\theta=\frac{adjacent\ side}{hypotenuse}[/tex]

[tex]cos\ 62\ degree=\frac{JL}{17}[/tex]

[tex]0.47=\frac{JL}{17}[/tex]

[tex]JL=0.47\times 17[/tex]

[tex]JL=7.99[/tex]

[tex]JL=8[/tex]

Therefore measurement of JL=8

the world population in 2013 was about 7.125 billion. in 2003,it was about 6.357 billion. which number represents the increase in the world population between 2003 and 2013?

Answers

there was a 768million person increase in that decade

Answer:

768million

Step-by-step explanation:

Which of the following rational numbers represents a repeating decimal 11 / 40 ,3/25, 25/48,or 7/32

Answers

[tex]\frac{25}{48}[/tex] represents repeating decimal

Solution:

We are asked to find the rational number that represents repeating decimal

A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats indefinitely)

Option 1

[tex]\frac{11}{40} = 0.275[/tex]

So here the decimal part is not repeating. So [tex]\frac{11}{40}[/tex] does not represent repeating decimal

Option 2

[tex]\frac{3}{25} =0.12[/tex]

So here the decimal part is not repeating. So [tex]\frac{3}{25}[/tex] does not represent repeating decimal

Option 3

[tex]\frac{25}{48} = 0.52083333333[/tex]

So here in decimal part "3" is repeating and goes on forever

So [tex]\frac{25}{48}[/tex] represents repeating decimal

Option 4

[tex]\frac{7}{32} = 0.21875[/tex]

So here the decimal part is not repeating. So [tex]\frac{7}{32}[/tex] does not represent repeating decimal

Asa saves dimes and quarters so that he will have exact change for he bus. He dabs and then dumps the container that he has been using for collecting his coins and finds he has 47 coins that are worth $9.50. How many of each coin does he have?

Answers

Answer:

He have 32 quarters and 15 dimes.

Step-by-step explanation:

Given:

Asa saves dimes and quarters so that he will have exact change for the bus.

He has 47 coins that are worth $9.50.

Now, to find the number of coin each he have.

Let the number of quarters be [tex]x.[/tex]

And the number of dimes be [tex]y.[/tex]

So, the total number of coins are:

[tex]x+y=47.[/tex]

[tex]y=47-x.[/tex].........(1)

As given the total worth of coins = $9.50

And the value of a quarter = $0.25 and the value of a dime = $0.10.

Now, the total worth of coins are:

[tex]0.25x+0.10y=9.50[/tex]

Putting the equation (1) in the place of [tex]y[/tex] we get:

[tex]0.25x+0.10(47-x)=9.50[/tex]

[tex]0.25x+4.7-0.10x=9.50[/tex]

[tex]0.15x+4.7=9.50[/tex]

Subtracting both sides by 4.7 we get:

[tex]0.15x=4.80[/tex]

Dividing both sides by 0.15 we get:

[tex]x=32.[/tex]

The number of quarters = 32.

Now, putting the value of [tex]x[/tex] in equation (1) we get:

[tex]y=47-32.[/tex]

[tex]y=15.[/tex]

The number of dimes = 15.

Therefore, he have 32 quarters and 15 dimes.

What percent of 400 is 3?

Answers

Answer:

0.75%

Step-by-step explanation:

In order for us to obtain the answer, we first write 3 over 400 as a fraction, we then multiply it by 100 as percentage is always out of 100, so 3/400 x 100

12% Bc you would do 3% × 400 =

(3 ÷ 100) × 400 =

(3 × 400) ÷ 100 =

1,200 ÷ 100 =

12

The following shows a corn maze for participants to walk through. The participants can only go forward and when there is a fork in the path you may assume that people are equally likely to take any one of the paths. It costs $5.00 to enter the maze and each participant gets $10.00 if they come out in a prize area.

Answers

I'm not really sure but I know that the answer is definitely not 0.25 or 0.5.

Answer:

D. 0.472

Step-by-step explanation:

I guessed on my test and got it correct trust me.

Which equation is equivalent to 16x – 8 + 2x = 100?

Answers

Answer:

x=6

Step-by-step explanation:

16x-8+2x=100

18x-8=100

18x=100+8

18x=108

x=108/18

x=6

14x=108 is the equivalent equation of the equation 16x – 8 + 2x = 100.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 16x – 8 + 2x = 100.

Sixteen times of x minus eight plus two times of x equal to hundred.

16x – 8 + 2x = 100.

We need to add the variable terms to get the equivalent equation.

Equivalent equation is an equation which looks different but the result will be same.

14x-8 = 100.

Add 8 on both sides.

14x=100+8

14x=108.

Hence, 14x=108 is the equivalent equation of the equation 16x – 8 + 2x = 100.

To learn more on Equation:

https://brainly.com/question/10413253

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How many squares will be in the fifth figure

Answers

Answer: 30

Step-by-step explanation:

see photo for work

2/3*5/15+-24+-18 pls help asap

Answers

Answer:

-42 2/9

Step-by-step explanation:

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

Which expression is equivalent? 7 − 4(2x − 3)

Answers

Answer:

19-8x

Step-by-step explanation:

7-4(2x-3)

7-8x+12

19-8x

Answer:

19-8x

Step-by-step explanation:

7-4(2x-3)

7-8x+12

19-8x

Which table shows a proportional relationship between x and y?


x 1 3 4 7
y 2 5 8 14

x 7 14 28 35
y 1 2 4 5

x 1 2 3 4
y 4 10 12 16

x 2.5 3 5 6
y 5 6 10 15
















Which table shows a proportional relationship between x and y?


x 1 3 4 7
y 2 5 8 14

x 7 14 28 35
y 1 2 4 5

x 1 2 3 4
y 4 10 12 16

x 2.5 3 5 6
y 5 6 10 15





















Which table shows a proportional relationship between x and y?


x 1 3 4 7
y 2 5 8 14

x 7 14 28 35
y 1 2 4 5

x 1 2 3 4
y 4 10 12 16

x 2.5 3 5 6
y 5 6 10 15





















Which table shows a proportional relationship between x and y?


x 1 3 4 7
y 2 5 8 14

x 7 14 28 35
y 1 2 4 5

x 1 2 3 4
y 4 10 12 16

x 2.5 3 5 6
y 5 6 10 15





















Which table shows a proportional relationship between x and y?


x 1 3 4 7
y 2 5 8 14

x 7 14 28 35
y 1 2 4 5

x 1 2 3 4
y 4 10 12 16

x 2.5 3 5 6
y 5 6 10 15
















Which table shows a proportional relationship between x and y?
PLS HELP!!!!






Answers

Second table

The reason why this table doesn’t look proportional is due to the fact that it has a missing part. There should be an extra box of x:21 and y:3, making this graph proportional throughout.

Hope this helps comment below for more questions :)

Answer:

Second table

Step-by-step explanation:

Proportional relationships between x and y satisfied the following equation y = k*x, where k is some constant. Rearranging we get: k = y/x. So, if we take every pair y-x and divided them, we have to find the same k.

- Division y/x for the first table:

2/1 = 2

5/3

8/4 = 2

14/7 = 2       It is not a proportional relationship

- Division y/x for the second table:

1/7

2/14 = 1/7

4/28 = 1/7

5/35 = 1/7       It is a proportional relationship

- Division y/x for the third table:

4/1 = 4

10/2 = 5

12/3 = 4

16/4 = 4        It is not a proportional relationship

- Division y/x for the fourth table:

5/2.5 = 2

6/3 = 2

10/5 = 2

15/6 = 5/2        It is not a proportional relationship

Solve. 5x−3/2=3x+8   
–26

–19

13

19

Answers

Good morning,

Answer:

-19

Step-by-step explanation:

(5x−3)/2=3x+8 ⇌ 5x−3 = 2×(3x+8)  ⇌  5x−3 = 6x+16  ⇌ 6x-5x = -3-16

⇌ x=-19.

:)

Answer:

x = - 19

Step-by-step explanation:

Given

[tex]\frac{5x-3}{2}[/tex] = 3x + 8

Multiply both sides by 2 to clear the fraction

5x - 3 = 6x + 16 ( subtract 6x from both sides )

- x - 3 = 16 ( add 3 to both sides )

- x = 19 ( multiply both sides by - 1 )

x = - 19

Find the value of x when y = 6 and z = -1/2, If

Answers

Answer:

[tex]x=-\frac{261}{46}[/tex]

Step-by-step explanation:

we have the expression

[tex]\frac{3x+2y-5z}{y-4z}=\frac{x}{3y}[/tex]

we have

[tex]y=6,z=-\frac{1}{2}[/tex]

To find the value of x, substitute the given values of y and z in the expression

[tex]\frac{3x+2(6)-5(-\frac{1}{2})}{6-4(-\frac{1}{2})}=\frac{x}{3(6)}[/tex]

solve for x

[tex]\frac{3x+12+\frac{5}{2}}{6+2}=\frac{x}{18}[/tex]

[tex]\frac{3x+12+\frac{5}{2}}{8}=\frac{x}{18}[/tex]

Multiplying in cross

[tex](3x+12+\frac{5}{2})18=8x[/tex]

[tex]54x+216+45=8x[/tex]

[tex]54x-8x=-216-45[/tex]

[tex]46x=-261[/tex]

[tex]x=-\frac{261}{46}[/tex]

Introduction to the triangle midsegment theorem‼️Can someone help me with this problem ❓

Answers

Answer:

see explanation

Step-by-step explanation:

Given a line joining the midpoints of 2 sides of a triangle, the midsegment

Then the midsegment is parallel to and half the measure of the third side of the triangle, thus

XY = 2KL = 2 × 42 = 84

Since J is the midpoint of XY, then

JY = 0.5XY = 0.5 × 84 = 42 and

JK = 0.5YZ = 0.5 × 76 = 38

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