How can you use linear relationships to compare real-world
situations?

Answers

Answer 1

Answer:

Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit.

Step-by-step explanation:


Related Questions

Rewrite the equation by completing the square.
X^2+8x+12=0

Answers

Answer:

(x + 4)² - 4 = 0

Step-by-step explanation:

Given

x² + 8x + 12 = 0

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 8x

x² + 2(4)x + 16 - 16 + 12 = 0

(x + 4)² - 4 = 0

Solve for k: 4k+5a−3=10−2k

Answers

Answer:

4k+5a_3=10_2k

4k+2k+5a=10+3

6k+5a=13

How do you write something in slope intercept form?

Answers

Answer:

Slope-intercept form is y=mx+b. You find the slope of the line and you plug that in for m. Then you find the y-intercept, which is where the line crosses the y-axis, and plug that in for b.

Step-by-step explanation:

a=3 and c=2 10a - 3 - 5c - 2c

Answers

Answer:

13

Step-by-step explanation:

10(3)-3-5(2)-2(2)=13

In which interval is the median?
A sample of 50 students was surveyed about their time
spent in front of a screen (laptop, tablet, phone, etc.).
Each interval contains the left endpoint but not the
right endpoint.
[4,5)
[5,6)
[6,7)
[7,8)
Hours of Screen Time per Day
10
B
Frequency
2
6
8
10 12

Answers

B I think sorry if it’s wrong

Answer:

B is correct! Took the quiz 2021 <3. Yall b safe!

Step-by-step explanation:

LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?

Answers

Answer:

[tex]LN = 55[/tex]

Step-by-step explanation:

Given

[tex]LN = 12w + 7[/tex]

[tex]LP = 15w - 5[/tex]

Required

Determine LN

Since LM is a bisector, then we have:

[tex]LP = LN[/tex] (See attachment for illustration)

[tex]15w - 5 = 12w + 7[/tex]

Collect Like Terms

[tex]15w - 12w = 5 +7[/tex]

[tex]3w = 12[/tex]

Solve for w

[tex]w = 12/3[/tex]

[tex]w = 4[/tex]

LN is calculated as thus:

[tex]LN = 12w + 7[/tex]

Substitute 4 for w

[tex]LN = 12 * 4 + 7[/tex]

[tex]LN = 48 + 7[/tex]

[tex]LN = 55[/tex]

The equation y=1/9x relates proportional quantities x and y.

What is the value of x when y is 4?

Answers

Answer:

x=36 when y=4

Step-by-step explanation:

When y=4, you have to multiply 1/9x by 9 to make x whole and to truly figure out how much it is worth. So if 1/9x =4, you need to multiply 4x9

4x9=36

x=36

Can someone answer this for me?

Answers

Answer:

D 26

Step-by-step explanation:

154+154=308

308-360=52

52 divided by 2

=26

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

I'm not sure if my way of doing it is the way your teacher wants it solved but I would do...

[tex]150+150+x=360[/tex]

so now we just have to solve the equation...

[tex]308+x=360\\x=52[/tex]

ok and now before you judge me that still isn't the answer we still have to divide the 52 by 2 because 52 is the sum of both the smaller angles, so you'll get...26°

choice D

brainliest for correct answer please help Point A is located at (-5,2). It is translated up 5 and left 3. Please state the location of A'.

Answers

Answer:

(-8,7)

Step-by-step explanation:

A rain gauge is accurate within 0.5 mm of the true rain height. One Sunday
afternoon, it reads a height of 60mm. Formulate an absolute value equation, where
r is the true rain height, that can help you figure out the least rain height possible
and the greatest rain height possible.

Answers

Answer: 59.5 ≤ r ≤ 60.5

Step-by-step explanation:

Given that :

Accuracy range = ±0.5 of true value

True height of rain (r) = 60mm

Absolute value equation to find the least and greatest height if rain possible ;

|r| = 0.5

To remove the absolute value sign ;

|r| ± 0.5

r = 60mm

60 - 0.5 ≤ r ≤ 60 + 0.5

59.5mm ≤ r ≤ 60.5mm

Hence,

Greatest height possible = 60.5mm

Least height possible = 59.5 mm

to remain on the cheerleading squad,Lakita must attend at least 3/5 of the study table sessions offered . she attends 15 sessions . if Lakita met the requirements, what is the maximum number of study table sessions ?

Answers

It would be 9 because 3/5 of 15 is 9

Eric is a lifeguard at his community pool. Before working, he likes to swim laps to exercise. Eric started by swimming 12 laps and increases the number of laps he swims by 3 laps each week. - Identify the slope modeled by the linear relationship. Explain what the slope means in context of the problem. - Identify the y-intercept modeled by the linear relationship. Explain what the y-intercept means in context of the problem.

Answers

Answer:

Step-by-step explanation:

Eric started by swimming laps = 12

And increases number of laps each week = 3 laps

If Eric spends x week for the swimming, linear equation representing the number of laps 'y' after 'x' weeks will be,

y = 12 + 3x

Slope of the equation when graphed = 3

y - intercept of the equation = 12

Therefore, Slope of the equation represents the increase in laps per week.

And y-intercept represents the number of laps at the starting.

What are two different ways of saying "find the
solution"?

Answers

Answer:

find the difference.   find the sum

Step-by-step explanation:

The cooking club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating 3 pies to the club. Each pie was then cut into 6 pieces and sold. There were a total of 72 pieces to sell. How many pies did the cooking club bake?

Answers

Answer:

9 pies

Step-by-step explanation:

From the question, we were given,

Number of pies = 3

Number of pieces cut from each pie = 6

Given total number of pieces to sell = 72

But the Number of pieces from 3 pies = 3×6

=18

so, Number of pieces the club needed to make is given = 72-18= 54

Since each pie is cut into 6 pieces

And number of extra pieces needed = 54

Then the number of pies the cooking club bake is 54/6= 9 pies

Therefore, the club bake 9pies

Verizon charges $700 for an iPhone 12 and has a monthly service fee of $50. AT&T charges $650 for an iPhone 12 and has a monthly service fee of $60. After how many months will the two costs be the
same?

Answers

Answer:

5 months

Step-by-step explanation:

700 + 50x = 650 + 60x

50 = 10x

5 = x

Use the bar model to add these fractions

Answers

Answer:

I don't understand the question but 5 would be close to 0 10 would be beside 5 15 will be beside 10 20 will be close to 15 30 will be next to 60

Who can guess what time it is for me

Answers

I’ll try it don’t know if I will get it right

Answer:

6:29

Step-by-step explanation:

what is (6x-5) + (8x-50)

Answers

Answer:

14x - 55

Step-by-step explanation:

6x - 5 = 8x - 50

6x + 8x = 14x -5-50

-5- 50 = -55

14x -55

[tex]6x + 8x - 5 - 50 \\ = > 14x - 55[/tex]

Answers

Answer:

the first rectangle im pretty sure is 32

the second one is 12.8

Step-by-step explanation:

half of 8 is 4 and half of 25.6 is 12.8

18. The price of a pair of shoes was $65. Then, the price was reduced to $52..
Find the percent decrease in the price of the shoes.
(a) 30%
(b) 13% (c) 5%
(d) 25%
(e) none of these
Please show the work

Answers

Answer:

13.

Step-by-step explanation:

65-52=13

13%
65- 52=13 is your answer


What is the length of line segment KJ?
O 2/3 units
O 32 units
M 3 v
O 3/3 units
O 375 units

Answers

the answer two this is the second one
it’s the second one ur welcome

what is the simplest form

Answers

Answer:

c. 5 time the square root of 3

Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of mike and Randy’s age

Answers

Answer:

40

Step-by-step explanation:

Rewrite the expression in the form x^N X^3•x^4

Answers

X^7

what to always remember is when you multiply numbers of the same base add exponents

A muffin recipe uses 334 cups of flour for every 12 cup of milk. Which proportions could you use to solve for the cups of milk needed for 513 cups of flour?

Answers

Answer:

14278.5 cups of flour needed

Step-by-step explanation:

Evaluate the expression.62−4÷2 62−4÷2

Answers

The answer to that is 10,000

Answer: 8118/131 decimal form -65

Step-by-step explanation: this part right here 2 62= 0.032

so 62-4/0.032-4/2= -65

sorry it took so long my pc is very laggy btw i was letting the dogs out my apologies

HELP NOW PLZZZZZ HELPPPPPPPPPPPP

Answers

Answer:

y = 4/3x -11

Step-by-step explanation:

y = -3/4 x - 8

This is in slope intercept form  

y = mx+b where the slope is -3/4

We want a slope that is perpendicular

Take the negative reciprocal

-1 ( -3/4) = 4/3

The slope of the line that is perpendicular is 4/3

Using the slope intercept form of a line is

y = mx+b

y = 4/3x+b

Substituting the point into this equation

-3 = 4/3(6) +b

-3 = 8+b

Subtract 8 from each side

-3-8 = b

-11 =b

y = 4/3x -11


1. A day care center has 52 children. Each teacher has the same number
of children. How many children could each teacher at the center
have?

Answers

Answer:

It depends on how many teacher has

Step-by-step explanation:

52 children divided by number of teacher

Find the sum of 3 - a - 5a2

Answers

a=3/5? i think i did it in my head

PLEASE HELP THERE ARE TWO PARTS!!

The graph shows the relationship between the United States dollar and
the euro, the currency of the European Union, in December 2011. Part A:
What is the constant of proportionality shown in the graph? *
Exchange Rate (December 6, 2011)
VA
(400, 300)
300
Number of euros
200
(250, 187.50)
100
(120,90)
100 200 300
400
Number of US dollars
I

Answers

Answer:

The constant of proportionality of the graph is 0.75

Step-by-step explanation:

The coordinates of the points on the lines are;

(400, 300), (250, 187.5), and (120, 90)

Which can be written in a tabular form as follows;

Number of US dollars   [tex]{}[/tex]                       Number of euros

120                                 [tex]{}[/tex]                        90

250                                [tex]{}[/tex]                        187.5

400                                [tex]{}[/tex]                        300

Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c

Where;

c = The y-intercept (where the graph meets the y-axis) = 0

m = The slope = The constant of proportionality

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]

We have, y = m·x = 0.75·x.

Therefore, the constant of proportionality of the graph = 0.75.

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