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Strike441 [17]
3 years ago
14

Which of the following is the correct graph of the solution to the inequality −13 > −5x + 2 > −28? number line with open d

ots at 3 and 6 and shading in between. number line with a closed dot at 6 with shading to the right and another closed dot at 3 with shading to the left. number line with an open dot at 6 with shading to the right and another open dot at 3 with shading to the left. number line with closed dots at 3 and 6 with shading in between.
Mathematics
2 answers:
Bas_tet [7]3 years ago
6 0
-13 > -5x + 2 > -28
-13 - 2 > -5x > -28 - 2
-15 > -5x > -30
-15/-5 < x < -30/-5
3 < x < 6

Therefore, the graph will be represented by a number line with open dots at 3 and 6 and shading in between.
sladkih [1.3K]3 years ago
6 0

Answer: The graph will be represented by a number line with open dots at 3 and 6 and shading in between. The first one, A.

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(-2, 11) and (2, 3)

Step-by-step explanation:

<u>Given system of equations:</u>

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

<u>Step 1:</u> Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

<u>Step 2:</u> Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

⇒ x = -2, x = 2

<u>Step 3:</u> Solve for y.

<em>Substitute the found x-values into one of the given equations.</em>

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

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The solutions to the system of equations are: (-2, 11) and (2, 3).

Learn more about system of equations here:

brainly.com/question/26094713

brainly.com/question/27850666

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Answer:

I will just choosé the second one

Because it is possible to compare sizes In one triangle rather than comparing with another one which we don't reàlly know of its sizes.

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