Answer:
192
Step-by-step explanation:
There are a total of 15 marbles . When the lavender is left out 14 remain.
Using combinations we find that each of the four color marbles can be chosen in the following way.
2C1*4C1*4C1*6C1= 2*4*4*6= 192
We select one of the two red marbles , one of the four green marbles, one of the four yellow marbles, one of the 6 orange marbles leaving the lavender out.. We apply combinations and then multiply to get the answer.
Here are the solutions:
X^2 - X = 0
Factor out X
X(X - 1) = 0
Here are 2 solutions
X = 0 and X - 1 = 0, which is the same as X = 1.
The solutions are:
X = 0
X = 1.
Answer:
8(cos(π) +i·sin(π))
Step-by-step explanation:
The number in parentheses has a magnitude of ...
√(1^2 +(√3)^2) = √4 = 2
Then the cube of that number will have a magnitude of 8, eliminating the 2nd and 4th choices
The angle of the number in parentheses is ...
arctan(-√3/1) = -π/3
Then 3 times that angle will be -π, also π.
The number of interest has a magnitude of 8 and an angle of π, so is written in the desired form as ...
8(cos(π) +i·sin(π)) . . . . . matches the 3rd choice
Answer:
Answer: y=s^2/36 and y=5.7;s=14.3ft or A
Step-by-step explanation:
Answer:

»ANSWER«
(1) Write properties of function:
x intercept/zero:

y intercept:

domain:

type of function: cubic fraction
standard form:

factorize form:

even/odd/neither: neither
bounce/cross x axis:

increasing interval:

decreasing interval: no
number of positive real zeros: 1
number of possible turning point: 2
order/degree: 3
leading term:

leading coefficent: 4
constant term: -12
end behavior:

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