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3 years ago

8

Which graph shows the solution to the system of inequalities below? x+y<3 -5x+2y<10

2 answers:

Shkiper50 [21]3 years ago

8 0

Answer:

The common shaded region in the graph, represents the solution to the system of inequalities.

Step-by-step explanation:

The given inequalities are

$x+y$ .... (1)

$-5x+2y$ ..... (2)

The related lines of given inequalities are dotted lines, because the sing of inequalities are <.

The related equations of given inequalities are

$x+y=3$ .... (3)

$-5x+2y=10$ .... (4)

Find x-intercepts and y-intercepts of related equations.

Put x=0 in equations (3).

$0+y=3$

Put y=0 in equations (3).

$x+0=3$

Therefore the intercepts of equation (3) are (0,3) and (3,0).

Put x=0 in equations (4).

$-5(0)+2y=10$

$y=5$

Put y=0 in equations (4).

$-5x+2(0)=10$

$x=-2$

Therefore the intercepts of equation (3) are (0,5) and (-2,0).

Check the given inequalities by origin.

Put (0,0) in inequality (1),

$0+0$

$0$

Therefore, (0,0) lies in the shaded region of inequality (1).

Put (0,0) in inequality (2),

$-5(0)+2(0)$

$0$

Therefore, (0,0) lies in the shaded region of inequality (2).

The common shaded region in the graph, represents the solution to the system of inequalities.

Xelga [282]3 years ago

5 0

Answer:

I think its d on edge

Step-by-step explanation:

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Answer:

f1: 0.440, f2: 0.931, f3: 1.519

Step-by-step explanation:

To solve the system of equations we need to use the inverse of matrix A, as follows:

A x F = C

A^-1 x A x F = A^-1 x C

I x F = A^-1 x C

where I is the identity matrix.

The inverse of A is:

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A^-1 = -0.074 -0.022 0.1536

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(computed with Excel)

The multiplication between the inverse of A and C gives:

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A^-1 x C = 0.931

1.519

(computed with Excel)

8 0

4 years ago

Read 2 more answers

Rewrite without absolute value for the given conditions: y=|x−5|+|x+5|, if x>5

julia-pushkina [17]

Answer:

$y=2x$ if $x>5$

Problem:

"Rewrite without absolute value for the given conditions: y=|x−5|+|x+5|, if x>5"

Step-by-step explanation:

Let's figure out when the insides of the absolute values are positive and negative, and then see where the given condition that x>5 fits into that.

$|x-5|=x-5$ if $x-5$ is positive or 0, $\ge 0$ .

$x-5 \ge 0$

Add 5 on both sides:

$x \ge 5$ .

$|x-5|=-(x-5)$ if $x-5$ is negative or zero, $\le 0$ .

$x-5 \le 0$

Add 5 on both sides:

$x \le 5$

Since $x>5$ then we will choose $|x-5|=x-5$ .

---

$|x+5|=x+5$ if $x+5$ is positive or 0, $\ge 0$ .

$x+5 \ge 0$

Subtract 5 on both sides:

$x \ge -5$ .

$|x+5|=-(x+5)$ if $x+5$ is negative or zero, $\le 0$ .

$x+5 \le 0$

Subtract 5 on both sides:

$x \le -5$

Since $x>5$ then we will choose $|x+5|=x+5$ .

--

$y=|x−5|+|x+5|$ with $x>5$ :

$y=(x-5)+(x+5)$

$y=(x+x)+(-5+5)$

$y=(2x)+(0)$

$y=2x+0$

$y=2x$

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The equation that is represented by the indicated graph is:
Y = ln X + 4 (Option C). See the definition of an equation below.

<h3>What is an Equation?</h3>

In mathematics, Equations are defined as mathematical statements or expressions where a string of factors that have been stated mathematically are equated to one another using the equals sign.

Hence the equation that represents the graphs is option C.

Learn more about Equations at:
brainly.com/question/2972832
#SPJ4

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