Answer:
=3x^7
Step-by-step explanation:
Simplify, 12x^4 ÷ 4 x^3
Cheers! :)
We know P = 1/2
X~B(2, 0.5)
n = 1
2C1 from pascal triangle = 2
P(X=0.5)= 2C1 x 0.5 x 0.5
= 0.5
= 50%
Answer : w = (-36)
By transposition method -6 when transposed to the other side it becomes multiplication which will be w = 6*(-6)
= w = (-36)
Answer:
<u>Part A: </u>
<u>n = 5q (1st equation)</u>
<u>0.05n + 0.25q = 2 (2nd equation)</u>
<u>Part B:</u>
<u>q = 4 ⇒ n = 5 * 4 = 20</u>
<u>Part C:</u>
<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>
Step-by-step explanation:
Let's recall that a nickel has a value of $ 0.05 and a quarter a value of $ 0.25.
Let n represent the number of nickels and q represent the number of quarters.
Part A:
Write a system of equations to represent the situation.
n = 5q (1st equation)
n * 0.05 + q * 0.25 = 2
0.05n + 0.25q = 2 (2nd equation)
Part B:
Replacing n in the 2nd equation to solve for q:
0.05n + 0.25q = 2
0.05 * 5q + 0.25q = 2
0.25q + 0.25q = 2
0.5q = 2
q = 2/0.5
<u>q = 4 ⇒ n = 5 * 4 = 20</u>
<u>Part C:</u>
<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>
Answer:
Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period =
, Frequency
, equation : 
Step-by-step explanation:
<u>Sinusoid Functions</u>
It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.
The graph shown can give us all the information we need to answer these questions:
Maximum: 1
Minimum: -3
The midline goes through the center value (mean) of the max and min values, i.e.
Equation of the midline:

Amplitude is the difference between the maximum and minimum values

The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at 
Thus the period is

The frequency is the reciprocal of the period:

The angular frequency is

The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:
