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storchak [24]
2 years ago
14

Use substitution to solve the linear system of equations.

Mathematics
1 answer:
Ne4ueva [31]2 years ago
6 0

Answer:

Step-by-step explanation: infinitely many solutions (please give brainliest)

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Which of the following is the solution set for the conjunction –6 < 4x + 2 < 6? x>−32 and x<32 x >–2 and x < 1
alisha [4.7K]

-6

<em><u>Solution:</u></em>

<em><u>Given conjunction is:</u></em>

-6

We have to find the solution set

<em><u>Let us solve the given conjuction</u></em>

\mathrm{If}\:a

Therefore,

-6

<h3><em><u>Let us first solve -6 < 4x + 2</u></em></h3>

-6 < 4x + 2

Switch the sides by flipping the inequality symbol

4x+2>-6

\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\\\4x+2-2>-6-2\\\\\mathrm{Simplify}\\\\4x>-8\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}>\frac{-8}{4}

x>-2

<h3><u><em>Now let us solve 4x + 2 < 6</em></u></h3>

4x+2

\mathrm{Combine\:the\:intervals}

x>-2\quad \mathrm{and}\quad \:x

Merge\:Overlapping\:Intervals

-2

<h3><u>Thus the solution set for  –6 < 4x + 2 < 6 is:</u></h3>

-6

3 0
3 years ago
On the graph of the equation 8x – 3y = 24, what is the value of the y-intercept?
ella [17]
8x - 3y = 24

y-intercept ⇒ x = 0

subtitute

8 · 0 - 3y = 24

-3y = 24    |divide both sides by (-3)

y = -8
3 0
3 years ago
Sue at 30 cherries. She ate 5 times as many cherries as bob. How many cherries did bob eat
Fantom [35]

Answer:

6

Step-by-step explanation:

6 times 5 is 30. You would've divided 30 by 5

7 0
3 years ago
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Please help me with this!
salantis [7]

The original area of a face would be a^2. Now that you added b to the edge, the new area of each face would be (a+b)^2. To find how much the are increased, subtract a^2 from (a+b)^2. (a+b)^2-(a^2)= a^2+2ab+b^2-(a^2)= 2ab+b^2= b(2a+b) So the answer is b(2a+b)

6 0
3 years ago
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What weather condition does the map indicate?
Temka [501]

Answer: C) an occluded front leading to a tropical storm

Step-by-step explanation: it is occluded because the two cool and warm fronts are joined together creating a tropical storm.

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