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irina1246 [14]
3 years ago
8

Which point is in the solution set of the given system of inequalities 3x+y>-3,x+2y<4

Mathematics
2 answers:
Dima020 [189]3 years ago
4 0
Step 1. Solve both inequalities for y:
3x+y\ \textgreater \ -3
y\ \textgreater \ -3x-3

x+2y\ \textless \ 4
2y\ \textless \ -x+4
y\ \textless \ - \frac{1}{2} x+2

Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines -3x-3 and - \frac{1}{2} x+2:

y=-3x-3 (1)
y=- \frac{1}{2} x+2 (2)

Replace (1) in (2):
-3x-3=- \frac{1}{2} x+2
Solve for x:
\frac{5}{2} x=-5
x=-2 (3)

Replace (3) in (1):
y=-3x-3
y=-3(-2)-3
y=6-3
y=3

We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.

Mashcka [7]3 years ago
3 0

The closest answer is B. -2,0

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laila [671]

Answer:

x = 15.3°

Step-by-step explanation:

Trig identities:

sin(x)=\dfrac{O}{H} \ \ \ \ \ cos(x)=\dfrac{A}{H} \ \ \ \ \ tan(x)=\dfrac{O}{A}

where

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  • A = side adjacent the angle
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8 0
2 years ago
Is my answers correct?
scoundrel [369]
Yes they are correct good job
6 0
3 years ago
Sorry I also need help with this question
Tomtit [17]

Answer: B

Step-by-step explanation:

(f/g) means to divide f(x) by g(x).

(f/g)(x)=\frac{3x+2}{3x-5}

To find the domain, you set the domain equal to zero and solve for x.

3x-5=0                   [add both sides by 5]

3x=5                       [divide both sides by 3]

x=5/3

Now, we know that B is the correct answer.

4 0
3 years ago
move point c so the measure of the inscribed angle abc is 50. what is the measures of arc ac​
zhuklara [117]

Answer:100

Step-by-step explanation:

8 0
3 years ago
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garri49 [273]

Hey there!

The best option is D

The figure rotated to the LEFT 90° then reflected (like in a mirror) to the right.

Hope this helps you!

God bless ❤️

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