<span>Since
this is an SAT Math Level 2 problem derivatives should not be required
to find the solution. To find "How many more hours of daylight does the
day with max sunlight have than May 1," all you need to understand is
that sin(x) has a maximum value of 1.
The day with max sunlight will occur when sin(2*pi*t/365) = 1, giving the max sunlight to be 35/3 + 7/3 = 14 hours
Evaluating your equation for sunlight when t = 41, May 1 will have about 13.18 hours of sunlight.
The difference is about 0.82 hours of sunlight.
Even though it is unnecessary for this problem, finding the actual max
sunlight day can be done by solving for t when d = 14, of by the use of
calculus. Common min/max problems on the SAT Math Level 2 involve sin
and cos, which both have min values of -1 and max values of 1, and also
polynomial functions with only even powered variables or variable
expressions, which have a min/max when the variable or variable
expression equals 0.
For example, f(x) = (x-2)^4 + 4 will have a min value of 4 when x = 2. Hope this helps</span>
Answer:
Step-by-step explanation:
just times everything 3.5 as 42/12=3.5
490g margarine
420g sugar
350ml syrup
840g oats
175g raisins
Answer:
A) 6.25x+7.50=26.25
Step-by-step explanation:
To find how much she payed for every round she played (woah that rhymed) you multiply 6.25 by the amount of rounds she played, which is x.
That's where we get 6.25x
7.50 is the base cost, so she will pay that much regardless of how much she played.
26.25 is the total amount of money spent. The admition cost and how much she spent on playing ads up to her total cost
Answer:
It is a function.
Step-by-step explanation:
You can test if a graph is a function if you draw a vertical line anywhere on the graph and you see it hits two points.
This is the table for the graph.
![\left[\begin{array}{ccc}x&y\\-3&0\\0&1\\3&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%5C%5C-3%260%5C%5C0%261%5C%5C3%262%5Cend%7Barray%7D%5Cright%5D)
Remember these rules:
- Each x value, or input, has its unique y value, or output
- If you draw a vertical line anywhere on the graph, it should only go through one point
We can check these two rules for this graph:
- Does each x value have its own, unique y value? Yes
- If you draw a vertical line anywhere on the graph, does it only go through one point? Yes, there are no overlaps
Keep in mind that two different x-values can have the same y value.
Figure 1:
It has two x values with the same y-values.
Figure 2 and 3:
The vertical line goes through two points. So the same x-value has two different y-values.
-Chetan K
