Use a graphing calculator to graph. Then, you can add the zero by finding where it intercepts the x- axis. Then, the asymptotes are lines that the rational function doesn't touch. Like this. The asymptotes are the Green and blue lines, the zero is at the origin.
Answer:
N = 8
Step-by-step explanation:
(12 + 3) - 7 = N
=> N = (12 + 3) - 7
=> N = 15 - 7
=> N = 8
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
⇒ (-2, 5)
When x = -1,
y = (-1)² + 1 = 2
⇒ (-1, 2)
When x = 0,
y = (0)² + 1 = 1
⇒ (0, 1)
When x = 1,
y = (1)² + 1 = 2
⇒ (1, 2)
When x = 2,
y = (2)² + 1 = 5
⇒ (2, 5)
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
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Answer:
D. 13 1/2
Step-by-step explanation:
2/3 x -2 = 7
2/3 x -2 + 2 = 7 + 2
2/3 x = 9
x = 9 (3/2)
x = 27/2
x = 13 1/2
