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mafiozo [28]
3 years ago
14

Which region represents the solution to the given system of inequalities?

Mathematics
2 answers:
NeTakaya3 years ago
8 0

answer : option C

y>=2x-3

y<=-x+2

The graph of green line is y>=2x-3. We have >= symbol so we shade up.

The solution for this inequality is region A  and C

The graph of blue line is y<=-x+2.  We have <= symbol so we shade down.

The solution for this inequality is region C  and B

We combine both solutions

The common shaded part for both inequality is region C

So region C represents the solution to this system of inequalities

muminat3 years ago
5 0
Consider, pls, this option:
a) for y≥2x-3 it is A and C regions;
b) for y≤-x+2 it is B and C regions;
c) from both it is C region. 
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dolphi86 [110]
Answer: x = -1 and y = -2

Step-by-step explanation:

So if you know y = x-1 you can plug that in where y is in the first equation

-4x + 3(x-1) = -2

Distribute the 3:

-4x +3x -3 = -2

Combine like terms:
-x -3 = -2

Add 3 to both sides:
-x = 1

Multiply by -1:
X = -1

Then you plug that into the other equation to get y=(-1)-1

Which is -2
4 0
3 years ago
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krok68 [10]

Answer:

DEC+DEF=180

DEC=180-116

DEC=64°

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angle D+angle C+angle E=180

7y+6+4y+64=180

11y+70=180

11y=180-70

11y=110

y=110/11

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3 0
2 years ago
Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?
arlik [135]

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

8 0
2 years ago
How many oranges does Heidi need to make one large orange<br> juice? Show your work.
Sindrei [870]

Answer:

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4 0
2 years ago
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kolbaska11 [484]

Answer:

2

Step-by-step explanation:

12-2=m(2+3)

m=10/5=2

m=2

6 0
3 years ago
Read 2 more answers
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