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storchak [24]
2 years ago
9

1. Graph the solution to the following system of

Mathematics
1 answer:
allsm [11]2 years ago
3 0

Answer: Graph the solution to the following system of inequalities: x>/ 0 y<2 x+ 3y > 0

Step-by-step explanation:

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What are the solutions of the following system? StartLayout Enlarged left-brace 1st row 10 x squared minus y = 48 2nd row 2 y =
jeyben [28]

Answer:

<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>

Step-by-step explanation:

Given:

10x² - y = 48  ⇒(1)

2y = 16x² + 48 ⇒(2)

From eq.(1) ⇒ y = 10x² - 48 ⇒(3)

By substitution with y from eq.(3) at eq.(2)

∴ 2(10x² - 48) = 16x² + 48

Solve for x

∴ 20x² - 96 = 16x² + 48

∴ 20x² - 16x² = 48 + 96

∴ 4x² = 144

∴ x² = 144/4 = 36

∴ x = ±√36 = ±6

By substitution with x at eq.(3)

when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312

when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312

<u>So, there are two solutions of the system which are (-6,312) and (6,312)</u>

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3 years ago
Y=x+6<br>x+y=8<br><br>now graph 3 points on the line x+y=8​
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y=2

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2 years ago
What is the value of x
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Step-by-step explanation:

30, the angle is worth 180 and 180-40=140. 140-20=120. 4*30=120

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how many cookies? for 2 cups

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Xanthia buys hot dogs that come in packages of six, and she buys hot dog buns that come in packages of eight. What is the smalle
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Answer:

4.

Step-by-step explanation:

The smallest number of hot dogs packages and hot dog buns that has the same amount of is the least common multiple between 6 and 8.

6 = 3*2

8 = 2^{3}

So, the least common multiple is the product of each multiple with the biggest exponent, that is 2^{3}*3=24. Then, Xanthia has to buy 4 hot dog packages to have 24 hotdogs and 24 hotdog buns.

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2 years ago
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