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valkas [14]
3 years ago
5

Create a systems of inequalities using the point (2,-3)

Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

\left \{ {{x+y-9}} \right.

<h2></h2><h2>Explanation:</h2><h2 />

Let's take the point (2,-3) and use it to create a system of inequalities. In other words, this point will be a solution to our system.

First inequality:

x+y \ ? \ 2 \\ \\ We \ need \ to \ find \ the \ unknown \ symbol, \ so: \\ \\ Substituting \ values: \\ \\ (2)+(-3) \ ? \ 2 \\ \\ -1 \ ? \ 2 \\ \\ \\ Since \ -1 \ is \ less \ than \ 2 \ then \ our \ inequality \ becomes: \\ \\ x+y

Second inequality:

2x+3y \ ? \ -9 \\ \\ We \ need \ to \ find \ the \ unknown \ symbol, \ so: \\ \\ Substituting \ values: \\ \\ 2(2)+3(-3) \ ? \ -9 \\ \\ -5 \ ? \ -9 \\ \\ \\ Since \ -5 \ is \ greater \ than \ -9 \ then \ our \ inequality \ becomes: \\ \\ 2x+3y>-9

So our system is:

\left \{ {{x+y-9}} \right.

<h2>Learn more:</h2>

Inequalities: brainly.com/question/12890742

#LearnWithBrainly

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What is the final answer?
MakcuM [25]
<h3>Answer:  42</h3>

Explanation:

We have y = -0.9x^2 + 76x - 250 which is in the form y = ax^2+bx+c

where,

  • a = -0.9
  • b = 76
  • c = -250

The vertex (h,k) is when the profit is maxed out.

h = -b/(2a)

h = -76/(2(-0.9))

h = 42.222 approximately

Let's plug in x values around x = 42

Try x = 41

y = -0.9x^2 + 76x - 250

y = -0.9(41)^2 + 76(41) - 250

y = 1353.10

Now try x = 42

y = -0.9x^2 + 76x - 250

y = -0.9(42)^2 + 76(42) - 250

y = 1354.4

Now try x = 43

y = -0.9x^2 + 76x - 250

y = -0.9(43)^2 + 76(43) - 250

y = 1353.9

We see that the largest profit happens when x = 42.

3 0
2 years ago
What percent is equivalent to 9/4 ?<br> A) .225%<br> B) 22.2%<br> C) 44.4%<br> D) 225%
ki77a [65]
Your answer would be D. 225%. 9/4 equals to 2.25 which multiplied but a 100 to make the percentage equals 225%.
8 0
3 years ago
Tan's electricity bill for the month of August was $267.00. His September bill showed a 2% increase from his August bill. In Oct
vovikov84 [41]
267 x 0.02 = 5.34
267 + 5.34 = 272.34

267 x 0.08 = 21.36
267 - 21.36 = 245.64


267 + 272.34 + 245.64 = $784.98
7 0
3 years ago
Mike began with $20 in savings and increased his savings by $10 every month. Lindsay began with $5 in savings and doubled her sa
MrMuchimi

Answer:

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3 0
3 years ago
Please help
bezimeni [28]

Answer:

26-4s=9s

26-(4s-9s)=0

26+5s=0

5s=-26

ans: s= -26/5

-3r+10=15r-8

-3r-15r=-8-10

-18r=-18

18r=18

ans: r=1

-9(t-2)=4(t-15)

-9t+18=4t-60

-9t-4t=-60-18

-13t=-78

13t=78

ans: t=26

THERE U GO! :D

5 0
2 years ago
Read 2 more answers
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