A system of linear equations is given by the tables. One of the tables is represented by the equation y = - 1/3x + 7. x y 0 5 3 6 6 7 9 8 x y -6 9 -3 8 0 7 3 6 The equation that represents the other equation is y = x + . The solution of the system is ( , )

Answers

Answer 1

The solution of the system is (- 3, 8).

A system of linear equations is given by two tables. The first table is represented by the equation y = - 1/3x + 7, while the second table is not represented by any equation.

However, we can determine the equation of the second table by finding the slope of the line that passes through the points (0, 5) and (3, 6).slope = change in y/change in x= (6 - 5)/(3 - 0)= 1/3

Since the slope of the line is 1/3 and it passes through the point (0, 5), we can use point-slope form to find the equation of the line. Using point-slope form,

the equation of the second table is:y - 5 = 1/3(x - 0)y = 1/3x + 5To solve the system of equations, we can use substitution. We can substitute y = - 1/3x + 7 into the equation y = x + 5:y = x + 5- 1/3x + 7 = x + 5- 1/3x = - 2x = 6x = - 3

The solution for x is x = - 3. We can use this value to find the solution for y by substituting into either of the equations. Using y = - 1/3x + 7, we get:y = - 1/3(- 3) + 7= 1 + 7= 8

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Related Questions

Solve. 6x +12x = 72.
x=

PLEASE HELP I REALLY NEED HELP

Answers

Answer:

x=4

Step-by-step explanation:

6x+12x=72

18x=72

x=4

X=4 that’s the answer

write the additive inverse of 14/113​

Answers

Step-by-step explanation:

just opposite it mesn 113/14

Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price. How much will 16 planters cost? Please help!!!!

Answers

Answer:

If 6 planters= $18

then, 16 planters= 16× 18÷6

                             =$48

Step-by-step explanation: Hope this helps

The cost of 16 planters will be equal to $ 48.

It is given that Kelly purchased 6 planters for a total of $18.

We have to find the cost of 16 planters as she wants to purchase 16 more planters.

If a car goes 10 km in one hours , how far will it go in two hour ?

The car will go, 10 × 2 = 20 km in an hour.

As Kelly purchased 6 planters for a total of $18.

The cost of 1 planter will be = 18 ÷ 6 = 3

The cost of 16 planters will be = 16 × 3 = $ 48.

Thus, the cost of 16 another planters which Kelly want to purchase will be equal to $48.

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in a Cantilever beam of mass 5 kg carrying an end mass 3.85 kg .then the equivalent mass is 8 ib 5 kg 5 ft 7.5 kg in The piston travel diagrams the first order radius equal to R/L crank angle Crank radius Connected rod length The gas pressure force depend on * Piston acceleration Crank radius Piston velocity Piston travel 2 points 2 points 2 points

Answers

In a cantilever beam system, where a beam carries an end mass, the equivalent mass is the combined mass of the beam and the end mass. The equivalent mass is calculated by adding the mass of the beam and the end mass. In the context of piston travel diagrams, the gas pressure force depends on the piston acceleration, crank radius, and piston velocity, with the piston travel being influenced by the crank angle, crank radius, and connected rod length.

In a cantilever beam system, the equivalent mass is determined by adding the mass of the beam to the mass of the end mass. In the given example, the beam has a mass of 5 kg, and the end mass is 3.85 kg. Therefore, the equivalent mass of the system is 5 kg + 3.85 kg = 8.85 kg.
Regarding piston travel diagrams, the gas pressure force acting on the piston depends on several factors. The piston acceleration, which represents the rate of change of piston velocity with respect to time, influences the gas pressure force. A higher acceleration results in a greater gas pressure force acting on the piston.
The crank radius, which is the distance from the center of the crankshaft to the point where the connecting rod is attached, also affects the gas pressure force. The piston velocity, which is the rate at which the piston moves, is influenced by the crank radius. A larger crank radius leads to higher piston velocity and, consequently, greater gas pressure force.
The piston travel, representing the linear displacement of the piston, is influenced by the crank angle, crank radius, and connected rod length. These factors determine the motion of the piston and the overall behavior of the system.
In summary, the equivalent mass in a cantilever beam system is obtained by adding the mass of the beam and the end mass. In piston travel diagrams, the gas pressure force depends on the piston acceleration, crank radius, and piston velocity. The piston travel is influenced by the crank angle, crank radius, and connected rod length.

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The number of hours Brittany has been hiking varies directly with the total distance she has traveled, in miles. She can hike 8 miles in 3 hours. How many miles can Brittany hike in 12 hours?

Answers

Answer:

24 miles

Step-by-step explanation:

for every 3 miles she can hike 8 miles so she can hike 24 miles in 12 hours

find all missing angles. show your work.

Answers

(I’ll be using the < sign as the angle symbol)

*m<1 = 180 - 129
m<1 = 51

*m<1 + m<2 + 95 = 180
51 + m<2 + 95 = 180
146 + m<2 = 180
m<2 = 180 - 146
m<2 = 34

*m<3 = 95 (opposite by vertex)

*m<3 + m<4 + 47 = 180
95 + m<4 + 47 = 180
142 + m<4 = 180
m<4 = 180 - 142
m<4 = 38

*m<5 = 47 (opposite by vertex)

*m<7 = 180 - 121
m<7 = 59

*m<5 + m<6 + m<7 = 180
47 + m<6 + 59 = 180
m<6 + 106 = 180
m<6 = 180 - 106
m<6 = 74

The angles are as follows:

∠1 = 51°

∠2 = 34°

∠3 ≅ 95°

∠4 = 38°

∠5  ≅ 47°

∠6 = 74°

∠7 = 59°

The angles are as follows:

∠1 = 180 - 129 = 51° (angle on a straight line)

∠2 = 180 - 95 - 51 = 34° (sum of angles in a triangle is 180 degrees)

∠3 ≅ 95° (vertically opposite angles)

∠4 = 180 - 47  - 95 = 38° (sum of angles in a triangle)

∠5  ≅ 47°(vertically opposite angles)

∠6 = 180 - 47 - (180 - 121) = 74°(sum of angles in a triangles)

∠7 = 180 - 121 = 59°(angle on a straight line)

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HELP ASAP I NEED HELP THIS IS DUE TODAY I WILL MARK BRAINLEAST plsss

Answers

Answer:

Step-by-step explanation:

8:00 - Morning Circle

8:20 - Readers Workshop

9:10 - Math

9:55 - Lunch

10:35 - Recess

10:50 - Math Talk

Answer:

Hi ik the the answer

Step-by-step explanation:

8:00 am

8:20 am

9:10 am

9:55 am

10:35 am

10:59 am and they all go in orden so means just put everything like this on to the paper

I will give brainiest. need help asap!
f(6)=50(6)+30

Answers

Answer:

f=55

Step-by-step explanation:

f(6)=50(6)+30

then: 6F=330 using distributive, and communitive property

then: divide 6 on each side

and ur answer will be f=55

Morgan purchased a new car, which depreciates over time. Morgan’s car depreciates
according to the function y=62,150( . 9999)xx, where x represents the number of months since
the car was purchased. What is the range of the exponential function y based on its equation
and the context of the problem?

Answers

The range of the exponential function y based on its equation and the context of the problem is a set of positive real numbers less than the initial value of 62,150, representing the decreasing value of the car over time.

The given function represents the depreciation of Morgan's car over time, where x represents the number of months since the car was purchased. The function is y = 62,150 * (0.9999)^x.

To determine the range of the exponential function y, we need to consider the context of the problem. In this case, the range represents the possible values for the car's depreciation, or the value of y.

The base of the exponential function is 0.9999, which is less than 1. When a value between 0 and 1 is raised to a positive power, it decreases exponentially as the power increases. Therefore, as x (the number of months) increases, the value of y (the car's depreciation) decreases.

Since the base is less than 1, the range of the exponential function y is also less than the initial value of 62,150. As x approaches infinity, the value of y approaches 0, but it will never actually reach 0.

In practical terms, the range of the exponential function represents the decreasing value of the car over time. It indicates that the car's depreciation is continuous and will approach zero but will never completely reach zero.

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Mineral hardness is rated from 1, the softest, to 10, the hardest. The table shows some minerals with their hardness ratings.
Which mineral listed in the table can be used to cut all of the other minerals?
A) Corundum
B) Diamond
C) Gypsum
D) Quartz

Frost wedging is a form of weathering caused by water seeping into the cracks of rocks. This type of weathering is common in regions that have very cold winters. How does frost wedging take place?
A) This is a physical weathering process — when water freezes, it expands, pushing the rock apart slowly over a period of time.
B) This is a chemical weathering process — carbonic acid formed by the reaction of water and carbon dioxide breaks the bonds that hold the rock together.
C) This is a physical weathering process — when water freezes, the temperature of the rock is decreased, causing the outer layers of the rock to crumble off.
D) This is a chemical weathering process — water reacts with the chemicals in the rock by a process call hydrolysis and breaks the bonds that hold the rock together.

Answers

its is answer b becuase it makes the most sense

Which method or methods listed below describe a solid system for keeping financial records?
1. Making a mental note of all purchases made during the week.
II. Recording money spent in a hand-held notebook.
III. Organizing receipts and transactions on a computer.
a. I only
b. I only
C. II and III
d. I, II, and III

Answers

Answer:

C :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

12 Write the decimal equivalent of the following: answer in the space.
2 5/8=_____​

Answers

Answer:

2.625

Step-by-step explanation:

2 + 5/8

2 + .625 = 2.625

5/8 = .625

Answer:

ill help

Step-by-step explanation:

Write the prime factorization for the number 50.
Write the prime factorization for the number 120.

Answers

50= 2,5^2
120=3,2,5,2^2

Simplify. 3/5 · 3/9 help a guy out

Answers

Answer: 0.18 or 9/50

Step-by-step explanation:

Answer:

well I am not sure anymore and I don't know how to delete my answer so sorry

Step-by-step explanation

pls help pls help pls help pls help

Answers

The slope of the line is -5/3

Answer:

The slope of the line would be -5/3(the red one)

Step-by-step explanation:

The demand for good X has been estimated by Qxd=12-3Px + 3Py. Suppose that good X sells at $2 per unit and good Y sells for $1 per unit. Calculate the own price elasticity. Multiple Choice -0.2 -0.67

Answers

Therefore, the own price elasticity of good X is approximately -0.67.(rounded to 2 decimal places)

To calculate the own price elasticity of good X, we need to use the formula:

Own Price Elasticity = (% change in quantity demanded) / (% change in price)

Given that the price of good X is $2 per unit, we can substitute the price (Px) into the demand equation:

Qxd = 12 - 3Px + 3Py

Substituting Px = $2 and Py = $1 into the equation, we get:

Qxd = 12 - 3(2) + 3(1)

= 12 - 6 + 3

= 9

Now, let's calculate the quantity demanded when the price changes by a small amount, let's say $0.10. We can substitute Px = $2.10 into the demand equation:

Qxd' = 12 - 3(2.10) + 3(1)

= 12 - 6.30 + 3

= 8.70

Using these values, we can calculate the percentage change in quantity demanded and the percentage change in price:

% change in quantity demanded = (Qxd' - Qxd) / Qxd * 100

= (8.70 - 9) / 9 * 100

= -0.30 / 9 * 100

= -3.33% (rounded to 2 decimal places)

% change in price = (Px' - Px) / Px * 100

= (2.10 - 2) / 2 * 100

= 0.10 / 2 * 100

= 5%

Now, let's calculate the own price elasticity using the formula:

Own Price Elasticity = (% change in quantity demanded) / (% change inprice)

= -3.33% / 5%

= -0.67 (rounded to 2 decimal places)

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What is 958.24 in expanded form

Answers

Answer: 900  + 50  + 8  +   0.2 +   0.04

Step-by-step explanation:

900  + 50  + 8  +   0.2 +   0.04

Answer:

y=958.24

Expanded forms can be written like a sentence or stacked for readability as they are here.

Standard Form:

958.24

8.
Felicity asked 100 students how they came to school one day.
Each student walked or came by bicycle or came by car.
49 of the 100 students are girls.
10 of the girls came by car.
16 boys walked
21 of the 41 students who came by bicycle are boys.
Work out the total number of students who walked to school.

Answers

Answer:

i think its 33

Step-by-step explanation:

10 Girls came by Car, 20 Girls came by bicycle.

19 Girls walked.

16 boys walked, 21 boys came with bicycle.

14 boys walked.

In total 33 students walked

mathstronauts has 3 bags of marbles. bag a has 345 marbles. bag c has 180 marbles.he says bag a has the most and bag c has the least marbles. how many marbles could be in bag b explain your reasoning

Answers

Step-by-step explanation:

i hope i have been useful buddy.

good luck ♥️ ♥️♥️.

Your cell phone plan costs $39.99 per month plus $0.11 for each text message you send or receive. You have at most $45 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month? The maximum number of text messages is nothing.

Answers

Answer:

The maximum number of text messages is 372.8

Step-by-step explanation:

Given that the monthly cost is  $39.99

and also $0.11 for each text (sent or recieved)

let y be the total cost

let x be the number of text

the model for the total cost is given as

y=3.99+0.11x

given that y=45

45=3.99+0.11x

45-3.99=0.11x

41.01=0.11x

divide both sides by 0.11

x=41.01/0.11

x=372.8

What is the value of n

Answers

Answer:

1.5x10^-18

Step-by-step explanation:

8.4x10^9 / x = 5.6x10^27

You could make a proportion:

x(5.6 x 10^27)= 8.4x10^9

divide both sides by 5.6x10^27

x=1.5x10^-18

Answer:

[tex]1.5*10^{-18}[/tex]

Step-by-step explanation:

The question is in the format [tex]\frac{8.4*10^9}{n}=5.6*10^{27}[/tex]

First multiply both sides by n and then divide both sides by the number in scientific notation on the right.

[tex]\frac{8.4*10^9}{5.6*10^{27}}=n[/tex]

We can think of this problem as [tex]\frac{8.4}{5.6}*\frac{10^{9}}{10^{27}}=\frac{8.4}{5.6}*10^9*10^{-27}[/tex]

When dividing like-terms, we subtract their powers (or we can get the multiplicative inverse and add the powers).

We end up with [tex]1.5*10^{-18}[/tex]

-3.6,-5.4,-8.1,-12.15 arithmetic or geometric or neither.

Answers

Answer:

Geometric Sequence

Step-by-step explanation:

1. Check the difference.

The difference between the 1st and 2nd term

[tex]( - 5.4) - ( - 3.6) = - 1.8[/tex]

The difference between the 2nd and 3rd term

[tex]( - 8.1) - ( - 5.4) = - 2.7[/tex]

The difference is not the same. Therefore, it is not an arithmetic sequence.

2. Check the ratio

The ratio between the 1st and 2nd term

[tex]( - 5.4) \div ( - 3.6) = 1.5[/tex]

The ratio between the 2nd and 3rd term

[tex]( - 8.1) \div ( - 5.4) = 1.5[/tex]

The ratio is the same. Therefore, it is a geometric sequence.

Sara makes $12 an hour working at the mall. Shae, her sister, just received
$100 for her birthday. Together they are saving to buy a $424 TV. How
many more hours does Sara need to work until that can purchase the TV?
And Show your work please

Answers

Answer:

x=27

Step-by-step explanation:

let x be the amount of hours she needs to work

she gets 12 dollars per hour, and they already have 100

12x+100=424

12x=324

x=324/12

x=27

Answer:

X=27

Step-by-step explanation:

I took the top number, 27 and I multiplied it by 12 and I got 324 and since Shae, her sister, has $100 and $324+$100=$400, she has to work 27 more hours.

If you need to like show equations then just take the 2 equations I did.

Could I please have BRAINLIEST?

Which equation does NOT represent a function?
A) y=12
B) 3x+4y=6
C) x=y^2-9
D) y=3x^2-5

Answers

Answer:

A

Step-by-step explanation:

Because it is the only one that is not asking you to solve. It is simply stating that y is equal to 12.

Hope this helps!

Someone please help me

Answers

Answer:

4: 2x2

7: 3+4

9: 27 divided by 3

11: 5+6

12: 6x2

14: 7x2

17: 9+8

21: 3x7

26: 11+15

27: 3x9

Step-by-step explanation:

We have to use equations to represent the following numbers: 4, 7, 9, 11, 12, 14, 17, 21, 26, 27 only using the numbers 1,2,3,4,5

A map has a scale of 3 cm 18 km in Riverside Riverside in Smithville are 54 km apart then they are how far apart on the map

Answers

Divide actual km by scale km:

54/18 = 3

Multiply scale cm by that:

3 x 3 = 9

They are 9cm apart on the map


What are the five guidelines when solving equations?

Answers

PEMDAS (parenthesis, exponents, undo multiplication or division, undo addition or subtraction)

Point F is on line segment EG. Given FG = 3x - 5, EF = 2, and
EG = 5x – 8, determine the numerical length of FG.

Answers

Answer:

2.5

Step-by-step explanation:

EG = EF + FG;

5x-8 = 2 + 3x-5

2x = 5

x = 2.5

FG = 3x-5 = 2.5

Suppose that you began a one-year study of tuberculosis (TB) in a subsidized housing community in the Lower East Side of New York City on January 1st, 2020. You enrolled 500 residents in your study and checked on their TB status on a monthly basis. At the start of your study on January 1st, you screened all 500 residents. Upon screening, you found that 20 of the healthy residents were immigrants who were vaccinated for TB and so were not at risk. Another 30 residents already had existing cases of TB on January 1st. On February 1st, 5 residents developed TB. On April 1st, 5 more residents developed TB. On June 1st, 10 healthy residents moved away from New York City were lost to follow-up. On July 1st, 10 of the residents who had existing TB on January 1st died from their disease. The study ended on December 31, 2010. Assume that once a person gets TB, they have it for the duration of the study, and assume that all remaining residents stayed healthy and were not lost to follow-up.
Using the same TB scenario, what was the case-fatality rate among residents with TB over the course of the year?
25.0%
14.3%
20.0%
None of the above

Answers

The case-fatality rate among residents with TB over the course of the year is approximately 33.3%. None of the answer choices provided (25.0%, 14.3%, 20.0%) match this calculated value, so the correct answer is "None of the above."

The case-fatality rate among residents with TB over the course of the year can be calculated by dividing the number of residents who died from TB by the total number of residents with TB at the start of the study. Let's calculate it based on the given information.

On January 1st, there were 30 residents with existing cases of TB. On July 1st, 10 of these residents died from their disease.

Case-Fatality Rate = (Number of TB deaths / Number of residents with TB) * 100%

Case-Fatality Rate = (10 / 30) * 100% ≈ 33.3%

Therefore, based on the given information, the case-fatality rate among residents with TB over the course of the year is approximately 33.3%. None of the answer choices provided (25.0%, 14.3%, 20.0%) match this calculated value, so the correct answer is "None of the above."

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Respond to the following required content in a minimum of 175
words:
Provide and discuss a specific example of an
algorithm.
In general, is there only one correct algorithm for a given
problem? Expla

Answers

Answer:

Its a perfect square root f ..

Step-by-step explanation:

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Show the profit diagram combining both the positions. Calculate the breakeven points. (5 marks) c. Determine the lower bound of the price (minimum price) for a six month call when the share price is 120, the call's exercise price is 100, and the interest rate for the six month period is 5 per cent. (2 marks) "The Atlantic economy supplied eager European customers with mildly addictive Crops like tobacco and coffee, along with sugar The Atlantic plantation system transformed these three products into Items of general consumption Investors prospered and capital for further economic development accumulated in the home country. The governments found funding and motive to develop see power. 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