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
garri49 [273]
3 years ago
12

Use a separate sheet of paper to solve the system of inequalities by graphing. Use the graph to decide if the point (1, –1) is i

n the solution set of the system. Explain your answer in the box provided below. y≤-3x+3 3x+8y≥3
Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

The answer is no though, the point (1,-1) is below both.

Step-by-step explanation:

So the two inequalities are y≤-3x+3 and 3x+8y≥3

With inequalities you have to know a few things.  First, when you graph you may have to use non solid lines.  for instance, if you had x<5, 5 would not be part of the answer because it is only answers less than 5.  so you represent this by making a dashed line that says "you cannot include values on this line".  Second, with algebra, if you multiply both sides by a negative it flips the inequality.  for instance -y > 54 you would multiply (or divide) by -1 and it would change to y < -54.  Third, when graphing an inequality, treat it like an equation and graph the line as if it were said equation(with solid or dashed lines as needed)  then, if it is y > f(x) you shade in the section above the line and y < f(x) shades in below.  The shaded part is your answer basically.  Now lets get into yours.

y≤-3x+3

It is already in the form y = f(x)  so grapht he line 3x + 3 with a solid line since it is y is less than or equal to,  then shade below that line.  

3x+8y≥3

First get it so y is by itself

3x+8y≥3

8y≥3 - 3x

y ≥ 3/8 - 3/8 x

Now grapht his line  with a solid line and shade the area above it.

Now, the shaded area below between y ≥ 3/8 - 3/8 x and  y≤-3x+3 and the lines are your answer, so you need to check if the point (1, -1) is in this shared shaded area or on one of the lines.

The answer is no though, the point (1,-1) is below both.

You might be interested in
Select all the statements that apply to the concept of a residual
skelet666 [1.2K]

Answer:

first and second one, and fourth one

Step-by-step explanation:

4 0
3 years ago
Due in 20 minutes!! please help
iris [78.8K]

Answer:

can

Step-by-step explanation: ;)

3 0
3 years ago
You want to buy a house in 9 years. The estimated cost is $175,800.00. You want to make a 20% down payment and closing costs are
Goshia [24]
Hi There! :)

<span>You want to buy a house in 9 years. The estimated cost is $175,800.00. You want to make a 20% down payment and closing costs are 7%. How much in totality

Answer: 7</span>
7 0
4 years ago
This is the monthly budget for the Reed family. What percent of the expenses is spent on utilities?
yawa3891 [41]
Divide the amount spent on utilities (285 dollars) over the total expenses (2376 dollars) to get...

285/2376 = 0.1199
which is approximate

Move the decimal over 2 spots to the right to go from 0.1199 to 11.99% which is the final answer (this is approximate as well)

Note: Moving the decimal over 2 spots to the right is the same as multiplying by 100. So that means 0.1199*100% = 11.99%

5 0
3 years ago
Read 2 more answers
What is the volume of this rectangular prism?
alexira [117]

Answer:

The answer is B. 54 cm

Step-by-step explanation:

When you find the volume of a rectangle you have to multiply the length, width, and height. The length is 9, width 3, and height 2. When you multiply them together you'll get 54

8 0
3 years ago
Read 2 more answers
Other questions:
  • How to graph y=3x+44
    10·1 answer
  • Evaluate f(x) = x 2 + 1 for f(10). 2√2 101 21
    15·1 answer
  • The cost of a $12.95 pizza was shared evenly by 5 friends.How much did each person pay
    7·1 answer
  • Ahmad runs 6 miles in 45 minutes. At the same rate, how many minutes would he take to run 4 miles?
    8·2 answers
  • Factors of 12 simplify 3/4-1/3+1/2​
    13·2 answers
  • Y to the power of 3=64
    12·2 answers
  • For a rollerblading party there are 50 tickets available. Jason buys 6 tickets and Heather buys three times as many as Jason bou
    10·1 answer
  • Jessica plans to plant a garden 55 feet away from her house. On a map of her backyard, she drew the garden 22 inches away from t
    6·1 answer
  • Find the missing dimension.<br> The missing dimension is<br><br> inches.fill in the blank
    12·2 answers
  • The area of a rectangular garden is 4988 m².
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!