Answer: a) zeros: x = {0, 4, -2}
b) as x → ∞, y → ∞
as x → -∞, y → ∞
<u>Step-by-step explanation:</u>
I think you mean (a) find the zeros and (b) describe the end behavior
(a) Find the zeros by setting each factor equal to zero and solving for x:
x (x - 4) (x + 2)⁴ = 0
- x = 0 Multiplicity of 1 --> odd multiplicity so it crosses the x-axis
- x = 4 Multiplicity of 1 --> odd multiplicity so it crosses the x-axis
- x = -2 <u>Multiplicity of 4 </u> --> even multiplicity so it touches the x-axis
Degree = 6
(b) End behavior is determined by the following two criteria:
- Sign of Leading Coefficient (Right side): Positive is ↑, Negative is ↓
- Degree (Left side): Even is same direction as right side, Odd is opposite direction of right side
Sign of the leading coefficient is Positive so right side goes UP
as x → ∞, y → ∞
Degree of 6 is Even so Left side is the same direction as right (UP)
as x → -∞, y → ∞
To find the fraction of the grouo that passed both exams, we need to first convert 75% into a fraction:
75%
=75/100
=3/4
We can then mutiply the fraction above by the students who passed the psychological exam:
3/4×3/5
=9/20
Therefore the answer is 9/20.
Hope it helps!
Answer:
-970299
Step-by-step explanation:
the cube of -99 means -99 x -99 x - 99
that is: -970299
Hope this helps
Answer:
192π unit²
Step-by-step explanation:
Given that :
Radius = 24
Area of circle = πr²
Area = π*24²
Area = 576π in²
The Shaded area is 120°
Entire Circumference = 360°
Hence, shaded area = 120°/ 360° = 1/ 3 of the area
1/3 * 576π in²
= 192π unit²
Answer:
B.
Step-by-step explanation:
First, notice that we can cancel out an x in the second term. Thus:

As with the last question, change the sign to multiplication and "flip" the second term:

Multiply straight across:

Cancel the (x+1) term:

Cannot be simplified further.
B.