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luda_lava [24]
3 years ago
10

Can someone explain #1 and #2 to me? (Picture above) I really need help

Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0
A number can replaced with a variable like x
(X+3)4=16
4x+12=16
4x=4
X=1
(X/4)+3=24
X/4=21
X=84
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Which graph shows y &lt; x² +1?<br> O<br> 4) Intro<br> •
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The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.

<h3>How to graph an inequality?</h3>

The steps to graph an inequality equation are:

  • Solve for the variable y in the given equation
  • Graph the boundary line for the inequality
  • Shade the region that satisfies the inequality.

<h3>Calculation:</h3>

The given inequality is y < x² + 1

Finding points to graph the boundary line by taking y = x² + 1:

When x = -2,

y = (-2)² + 1 = 4 + 1 = 5

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When x = -1,

y = (-1)² + 1 = 2

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When x = 2,

y = (2)² + 1 = 5

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Plotting these points in the graph forms an upward-facing parabola.

So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.

From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".

Learn more about graphing inequalities here:

brainly.com/question/371134

#SPJ1

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