Answer:
The graph is attached.
Step-by-step explanation:
The graphs:
f(x) = x + 1 where x < 0
f(x) = 2 where 0 ≤ x ≤ 1
f(x) = x where x > 1
Answer:
I think D
Step-by-step explanation:
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of
Answer:
No, Noah used the diameter instead of the radius in the calculations.
V = 91.13π
Step-by-step explanation:
Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. His work is shown below.
V = πr3
V = π(9)3
V = π(729)
V = 972π cubic units
Is Noah’s work correct
Volume of a sphere, V = πr³
radius, r = diameter / 2
Diameter = 9 units
r = 9 / 2
= 4.5 units
Volume of a sphere, V = πr³
= π × 4.5³
= π × 91.125
= 91.125π
Approximately 91.13π
V = 91.13π
No, Noah used the diameter instead of the radius in the calculations.
Answer:
-2<x<9
Step-by-step explanation:
−21<−3x+6<12-21<-3x+6<12
Move all terms not containing xx from the center section of the inequality.
Tap for more steps...
−27<−3x<6-27<-3x<6
Divide each term in the inequality by −3-3.
−27−3>−3x−3>6−3-27-3>-3x-3>6-3
Divide −27-27 by −3-3.
9>−3x−3>6−39>-3x-3>6-3
Cancel the common factor of −3-3.
Tap for more steps...
9>x>6−39>x>6-3
Divide 66 by −3-3.
9>x>−29>x>-2
Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.
−2<x<9-2<x<9
The result can be shown in multiple forms.
Inequality Form:
−2<x<9-2<x<9
Interval Notation:
(−2,9)
