Answer:
-4z
Step-by-step explanation:
-3z-z
Factor out the z
z(-3-1)
Combine like terms
z(-4)
-4z
Answer:
$105
Step-by-step explanation:
The appropriate formula for the simple interest is ...
I = Prt
for principal P borrowed at rate r for time period t.
Filling in the given values, we find the interest to be ...
I = $1000×0.035×3 = $105
You will pay $105 in interest.
Answer:

Step-by-step explanation:
We have been given that an object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. We are asked to find the cosine function that can be used to model the height of the object.
We know that standard form of cosine function is
, where,
|A| = Amplitude,
Period =
,
C = Phase shift,
D = Vertical shift.
Since distance between maximum and minimum is 4, therefore, amplitude will be half of it, that is,
.
Since objects gets back to its maximum value in every 3 seconds, therefore, period of the function is 3 seconds. We know that period is given by
, therefore, we can write
, therefore,
.
We haven't been given any information about phase and mid-line, we can assume the values of C and D to be zero
.
Therefore, our function required function would be
.
Answer:
WX = WY
9x - 11 = 7x - 3..........Then subtract 7x to the other side such that
2x - 11 = -3..........Then add 11 to both sides such that
2x = 8...........Then divide 2 such that
x = 4
Now we can find each side such that
WX = 9(4)-11 = 25
WY = 7(4)-3 = 25
XY = 4(4)+1 = 17
The vertex of the graph of y = (x - 1)2 - 5 is (1,-5)