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
nlexa [21]
3 years ago
7

Which ordered pair makes both inequalities true? y > –2x + 3 y < x – 2 (0,0) (0,–1) (1,1) (3,0)

Mathematics
2 answers:
Ivenika [448]3 years ago
8 0

Answer:

Option D is correct.

Step-by-step explanation:

Given inequalities are y > -2x + 3 ..............(1)

and y < x - 2 ...................(2)

Option A).

Inequality (1)

LHS = y = 0

RHS = -2x + 3 = 3

LHS < RHS

So, (0,0) does not satisfy it.

Also there is not to check for other inequality.

Option B).

Inequality (1)

LHS = y = -1

RHS = -2x + 3 = 3

LHS < RHS

So, (0,-1) does not satisfy it.

Also there is not to check for other inequality.

Option C).

Inequality (1)

LHS = y = 1

RHS = -2x + 3 = -2 + 3 = 1

LHS = RHS

So, (1,1) does not satisfy it.

Also there is not to check for other inequality.

Option D).

Inequality (1)

LHS = y = 0

RHS = -2x + 3 = -6 + 3 = -3

LHS > RHS

So, (3,0) satisfy the 1st inequality.

Now, check for other inequality.

Inequality (2)

LHS = y = 0

RHS = x - 2 = 3 - 2 = 1

LHS < RHS

So, (3,0) also satisfy the 2nd inequality.

Therefore, Option D is correct.

dimaraw [331]3 years ago
4 0

We are given inequality y > –2x + 3y < x – 2 .

Given options: (0,0) (0,–1) (1,1) (3,0)

Plugging first coordinate (0,0) in given ineqauality

0 > –2(0) + 3(0) < 0 – 2

0> 0< -2.

First option is not true.

Let us check (0,-1) now.

-1 > –2(0) + 3(-1) < 0 – 2

-1 > -3 < -2.

We can see -1 is greater than -3 and -3 is less than -2.

<h3>Therefore, (0,-1) make the given inequality true.</h3>
You might be interested in
A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?
inna [77]
The sub is now 550 feet below sea level
7 0
3 years ago
A group of randomly selected members of The Foodies Food Club were asked to pick their favorite type of food. The bar graph belo
Mice21 [21]

Answer:

98

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Finding the perimeter of triangles
statuscvo [17]

Answer:

Well theres not question to answer but if your asking how to find the area of a triange you do:

Step-by-step explanation:

1/2×b×h

B=base/length

H=height/width

7 0
3 years ago
Harry measures the big prize wheel on a game show and calculates that it has an area of 12.56 square yards. What is the prize wh
Alex_Xolod [135]

Answer:

The prize wheel diameter is 4.00 yards

Step-by-step explanation:

Area (A) = πd^2/4

πd^2 = 4A

d^2 = 4A/π

d (diameter) = √(4A/π)

A = 12.56 square yards, π = 3.142

d = √(4×12.56/3.142) = √15.99 = 4.00 yards

6 0
3 years ago
If The price tag on a trumpet says 104 how much did the store pay for it
Genrish500 [490]

Answer: $1.04 is how much they payed for the trumpet

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A project on Kickstarter.com was aiming to raise $15000 for a precision coffee press. They ended up with 714 supporters, raising
    5·1 answer
  • Which expression is equivalent 30 points
    5·2 answers
  • Y = f(x) + 3<br> describe the functions that take place
    15·1 answer
  • Given that parallelogram ABCD and angle D=145 what is the measure of angle C
    12·2 answers
  • Which statement is correct about a lime and a point?
    5·1 answer
  • Evan has $70 in a savings account. The interest rate is 5% per year and is not
    15·1 answer
  • Find the area of the polygon XYZ that has its vertices at X(–3, 6), Y(–3, 1), and Z(5, 1).
    15·1 answer
  • I NEED HELP ASAPPPPP ​
    9·1 answer
  • Lin is selling boxes of cookies. Each box costs $3.75. Lin's goal is to earn more than $30 selling cookies. If Lin sells 20 boxe
    9·1 answer
  • Find the midpoint (6,3) and (14,9)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!