Answer:
Step-by-step explanation:
Samantha's total earning per week are going to include the fix weekly wage of $350, plus whatever she gets from the tips. SInce what she gets from tips she noticed to be $12 per hour, if she works x hours during the week, the amount coming from tips only will be= $12*x
Therefore the total earning per week will add up to: $350 + $12*x
On the other hand, if we want to express her "average" hourly earnings, we need to divide the quantity above by the number of hours she works per week (we named such "x"): 
Therefore, the last expression that states that "Samantha's average hourly earnings is $22", can be written as: 
Answer:
3 * z
Step-by-step explanation:
3 * z
if u multiply them, u get 3z
is that what u meant? or are there options to choose from, or did u forget to add something else?
What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:
Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:
What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.
Add 2 to both sides to isolate b.
Which means that -2 = b.
Now that we have the y intercept, we can write the equation of the line, which is 
.
Hope this was helpful.
Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be 
rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is
Taking the first derivative of this with respect to and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of 
w.r.t is
And setting this = 0 gives
Eliminating 
on both sides and solving for 
gives us
Plugging this value of into the original equation gives us
This is the maximum value that the function can acquire. The attached graph shows this as correct
Ok so find 1's
remember that 4/4=1 also x/x=1 those are ones
also remember
if you had
10/30 that equals 10/10 times 1/3=1 times 1/3
so find ones
4/10=2/2 times 2/5=1 times 2/5=2/5
