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3 years ago

The graph below shows the solution to which system of inequalities

Mathematics

2 answers:

Slav-nsk [51]3 years ago

8 0

Answer: A

explanation:

from the given graph we see that shaded portion lies above the dotted line which shows open interval (y >-3 ). graph lies below the line y= -x ,hence the solution region will be y ≤ -x ,

hence the solution region is given by

y> -3 and y≤ -x

Oksi-84 [34.3K]3 years ago

5 0

The answer is
the option A
The graph shows the solution of the system of inequalities
y> -3
y<=-x

using a graph tool
see the attached figure

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pshichka [43]

Answer:

$\boxed{\sf x=-2}$

$\boxed{\sf y=-4}$

Step-by-step explanation:

First, Let's solve for x in -2x+2y=-4:

$\sf -2x+2y=-4$

Subtract 2y from both sides:

$\sf -2x+2y-2y=-4-2y$

$\sf -2x=-4-2y$

Divide both sides by -2:

$\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}$

$\bold{ x=y+2}$

Now, we'll substitute x=y+2 to 3x+3y=-18:

$\sf 3x+3y=-18$

→ let x=2+y

$\sf 3\bold{(2+y)}+3y=-18$

Simplify:

$\sf 6+6y=-18$

Now, let's solve for y in 6+6y=-18

$\sf 6+6y=-18$

Subtract 6 from both sides:

$\sf 6+6y-6=-18-6$

$\sf 6y=-24$

Divide both sides by 6:

$\sf \cfrac{6y}{6}=\cfrac{-24}{6}$

$\bold{ y=-4}$

Now, substitute y=-4 into x=2+y:

$\sf x=2+y$

→ let y = -4

$\sf x=2+\bold{-4}$

$\bold{x=-2}$

Therefore, x=-2 and y=-4.

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2 years ago

Grace starts with 100 milligrams of a radioactive substance. The amount of the

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

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NNADVOKAT [17]

Answer:

72.7

Step-by-step explanation:

First multiply 72 by 10

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