Answer:
x =21
Step-by-step explanation:
So we know that:
And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:
Now, solve for x. Add 30 to both sides. The left side cancels:
Now, subtract 2x from both sides. The right cancels:
Thus, the value of x is 21.
More, a kilogram is 1000x the mass of a gram
Answer:
The event is mutually exclusive.
Step-by-step explanation:
Mutually exclusive events are events that cannot exist simultaneously.
Thus, events that are not mutually exclusive can exist simultaneously.
Since each student only has one major, a single student cannot be both a mathematics major and a business major.
So, the event is mutually exclusive.
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 → ∞
Answer:
1/22
Step-by-step explanation:
assuming that the marbles drawn are not replaced:
P(red) = 3/12 or 1/4
P(green) = 4/11
P(blue) = 5/10 or 1/2
multiply the probabilities together:
1/4 x 4/11 x 1/2 = 1/22
