1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nesterboy [21]
2 years ago
8

8. What are the solutions to this system

Mathematics
1 answer:
AVprozaik [17]2 years ago
3 0

Answer:

Below in bold.

Step-by-step explanation:

3x + y = -1

2x + y=0

Subtract to eliminate y:

3x - 2x + y - y = -1 - 0

x = -1

So, substituting for x in the first equation;

3(-1) + y = -1

y - 3 = -1

y = 2.

The solution is the ordered pair (-1, 2).

The system is a pair of straight lines which intersect at the point (-1, 2).

You might be interested in
Which geometric figure contains exactly two perpendicular lines
Leviafan [203]

Answer:

Like a square, a rectangle has lines that are perpendicular to two other lines. This means it also has four right angles.

Step-by-step explanation:

4 0
3 years ago
A playstation 5 is $900 and costs $50 per game. A xbox is $400 and costs $60 per game. How many games will it take for both cons
belka [17]

Answer:

It would take a PlayStation 5 and 2 games to equal an Xbox and 10 games.

Step-by-step explanation:

I made a list that increase in the increments of the game price.

Something like this:

900—400~consoles alone

950—460~1 game

1000–520~2 games

1050—580~3 games

1100—640~4 games

1150—700~5 games

1200—760~6 games

1250—820~7 games

1300—880~8 games

1350—940~9 games

1400—1000~10 games

Left side is PlayStation 5 and right side is Xbox. The first row is the price of the consoles alone and then each row after that is the price of the console with an additional game. As you can see, the third row down on the left, the PlayStation 5 with 2 games is $1,000. If you look at the eleventh row on the right, you can see that Xbox with 10 games is also $1,000

3 0
3 years ago
Jack’s favorite sports drink comes in a 20-ounce bottle. the manufacturer of the sports drink requires a tolerance of 0.4 ounce.
Scrat [10]

Answer:

Answer:

Step-by-step explanation:

The manufacturer requires that the weight differs from 20 oz in at most 0.4 oz, therefore we can write this difference (which can be either above or below 20 oz, to be smaller than or equal to 0.4 oz.

The weight can be:

1) smaller than or equal to 20 oz + 0.4 oz:    then  

2) larger than or equal to 20 oz - 0.4 oz:    then  

and which combined, can be written as a double inequality;

This double condition can also be written using the absolute value symbol as:  

Step-by-step explanation:

4 0
3 years ago
ANSWER QUICKLY PLS!!<br> Choose the best graph that describes the statement.
slava [35]

Answer:

pretty sure its b

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Let’s pretend that we want to give our employees in total a28% raise in the next two years, but we want to spread out aconsisten
Roman55 [17]

Solution

- The solution steps are given below:

\begin{gathered} \text{ Let the original amount be X} \\  \\ \text{ If we want a 28\% raise over the next two years, then it means that the amount will be:} \\ X+\frac{28}{100}X=1.28X \\  \\ \text{ If we want to give them a consistent raise each year, we can compute the scenario as follows:} \\ \text{ Let the percentage be }y \\  \\ X+y\%\text{ of }X=\text{ Salary after first year} \\  \\ (X+y\%\text{ of }X)+y\%\text{ of }(X+y\%\text{ of }X)\text{ = Salary after second year.} \\  \\ \text{ But we already know that the salary after second year is }1.28X \\ \text{ Thus, we can say:} \\ (X+y\%\text{ of }X)+y\%\text{ of }(X+y\%\text{ of }X)=1.28X \\  \\ \text{ Simplifying, we have:} \\ X+\frac{yX}{100}+\frac{y}{100}(X+\frac{yX}{100})=1.28X \\  \\ \text{ Divide through by }X \\ 1+\frac{y}{100}+\frac{y}{100}(1+\frac{y}{100})=1.28 \\  \\ \text{ Subtract 1 from both sides and expand the brackets} \\ \frac{y}{100}+\frac{y}{100}+(\frac{y}{100})^2=1.28-1=0.28 \\  \\ \frac{2y}{100}+(\frac{y}{100})^2=0.28 \\  \\ \text{ Multiply both sides by }100^2 \\ 200y+y^2=2800 \\  \\ \text{ Rewrite, we have:} \\ y^2+200y-2800=0 \\  \\ Solving\text{ the equation using the Quadratic formula, we have that:} \\ y=\frac{-200\pm\sqrt{200^2-4(-2800)}(1)}{2(1)} \\  \\ y=-213.137\text{   or   }13.137 \\  \\ \text{ Since the change in salary is an increase, thus, the rate }y\text{ has to be positive.} \\ \text{ Thus, } \\ y=13.137\approx13.14\% \\  \\  \end{gathered}

Final Answer

y = 13.14%

The screenshots of the solution are:

5 0
1 year ago
Other questions:
  • Two basketball players average the same number of points per game. What information would be most helpful in determining which p
    11·2 answers
  • DO NOT POST UNUSEFUL ANSWERS! Serious answers only! A softball has a circumference of 12 inches. What is the softballs approxima
    15·2 answers
  • All of those ones please
    14·1 answer
  • The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. a. Use the formula
    15·1 answer
  • On a two-week job, a repairman works a total of 60 hours. He charges $80 plus $35 per hour. An equation shows this relationship,
    8·1 answer
  • A 37 bag sample had a mean of 421 grams. Assume the population standard deviation is known to be 29. A level of significance of
    10·1 answer
  • The measure of an angle is 61°. What is the measure of its supplementary angle?​
    7·1 answer
  • Which of the following equations is true?
    13·2 answers
  • Find the distance between the points (-6, -8) and (0, -10).
    12·1 answer
  • Simplify to an equivalent exponential expression. Use 5 as the base. 53.54 ### 22 53.54 = 0 (Type your answer using exponential
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!