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
777dan777 [17]
3 years ago
11

A city determines that a planned community must have at least 4 acres of developed and open space, and the difference between th

e number of developed acres, y, and the number of open acres, x, can be no more than 1. Which graph represents the system of inequalities for this scenario? x + y ≤ 4 y – x ≥ 1

Mathematics
2 answers:
stepan [7]3 years ago
5 0

Answer:

Option B.

Step-by-step explanation:

Let x be the number of open acres and y be the number of developed acres.

It is given that a community must have at least 4 acres of developed and open space.

x+y\geq 4

The difference between the number of developed acres, y, and the number of open acres, x, can be no more than 1.

y-x\leq 1

The relative equations of both inequalities are

x+y=4

y-x=1

The table of values

For line 1                      For line 2

x      y                            x      y

0     4                            0      1

4     0                           -1      0

Plot these ordered pairs on a coordinate plane and draw both lines.

The related line of first inequality is a solid line and shaded area lies above the line because the sign of inequality is ≥.

The related line of second inequality is a solid line and shaded area lies below the line because the sign of inequality is ≤.

Therefore, the correct option is B.

Bezzdna [24]3 years ago
3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ----> the number of open acres

y ----> the number of developed acres

we know that

x+y \geq 4 -----> inequality A

The solution of the inequality A is the shaded area above the solid line x+y=4

y-x\leq 1 -----> inequality B

The solution of the inequality B is the shaded area below the solid line y-x=1

so

The graph in the attached figure

You might be interested in
Which expression is equivalent to the expression shown? (5^4)2
marshall27 [118]

Answer:

5^8

Step-by-step explanation:

You multiply the exponents!!

7 0
2 years ago
4abc + (-9abc) + 10d?
nasty-shy [4]
-5abc+10d will be the answer.
8 0
3 years ago
Read 2 more answers
Find x in the parallelogram OA =(X+23) IN ; OC=31 in
ddd [48]
82 Europe dduuxhxxhhchcch
3 0
3 years ago
Help please ASAP thank you!!!
almond37 [142]

Answer:

B, coefficient vertically stretches or compress not horizontally, plus it is negative so x axis dlip

8 0
3 years ago
Read 2 more answers
Need to know a number bio for 5/8 break apart 3 ways
Fynjy0 [20]

Answer:

.208333... (as a fraction 5/24)

Step-by-step explanation:

5 divided by 8 = 0.625

.625 divided by 3 = .208333...

5/24

5*1 / 8*3 = 5/24. Therefore, 5/8 divided by 3 is equal to 5/24. In math you can flip the second denominator and numerator to multiply instead of dividing.

7 0
3 years ago
Other questions:
  • Mrs. Brown needs $5,000 in three years. If the interest rate on her investment account is 8.4% compounded monthly, how much shou
    14·1 answer
  • For breakfast, Clarissa can choose from oatmeal, cereal, french toast, or scrambled eggs. She thinks that if she selects a break
    10·2 answers
  • The table below shows the values for the function y= f(x)
    7·1 answer
  • What percent of 84 is 21
    6·1 answer
  • Can someone please help me ASAP
    7·2 answers
  • Pleas answer this question now
    13·1 answer
  • The quotient of a number and -3 is at least seven
    7·1 answer
  • PLEASE HELP ASAP! THIS IS DUE SOON! SHOW STEPS AND I WILL GIVE BRAINLIEST! A lot of points!
    5·2 answers
  • Pat threw a football 5 more than twice the number of yards, y, which Gary threw. Which expression can be used to find the number
    10·2 answers
  • Hubert keeps track of the movie genres he goes to see throughout the summer in a frequency table. Which answer choice is the cor
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!