2) c
3) d
4) a
5) d
6) c
7) a
8) b
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
#SPJ1
Answer:
Step-by-step explanation:
A) 3x−12≥15
3x ≥ 15 + 12
3x ≥ 27
or x≥ 9
B) 2x−5≤9
2x ≤ 9 +5
2x ≤ 14
or x ≤ 7
C) 5x+8≤53
5x ≤ 53 -8
5x ≤ 45
or x ≤ 9
D) 3x−5≥16
3x ≥ 16 + 5
3x ≥ 21
or x ≥ 7
Have a good day!
Answer:13( n + 5) = 91
Step-by-step explanation: solve the parenthesis first and then multiply that by 13
Answer:
RED,ORANGE,YELLOW
PURPLE,YELLOW,GREEN
BLUE,GREEN,YELLOW
PURPLE,BLUE,GREEN
PURPLE,BLUE,RED
PURPLE,ORANGE,BLUE
RED,YELLOW,BLUE,
ORANGE,YELLOW,GREEN
YELLOW,BLUE,PURPLE
YELLOW,GREEN,PURPLE
there is many combinations
Step-by-step explanation:
