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
Step-by-step explanation:
Unfortunately you didn’t provide the expressions to chose from
however, we can write :
(5g+3h+4) •2 = 2*5g + 2*3h + 2*4 (using distributive property)
= 10g + 6h + 8.
Answer:
y = (x-3)^2 - 17
Step-by-step explanation:
To complete the square, take the middle term bx and divide it in two. Then take the square.
x^2 - 6x - 8 has bx = -6x. Take -6/2 = -3. Square -3^2 = 9.
Now to finish completing the square add 9 and subtract 9 from one side.
y = x^2 - 6x - 8
y = (x^2 - 6x +9) -9 - 8
y = (x-3)^2 - 17
(75/4) / (5/4) =
75/4 * 4/5 =
300/20 =
15 books
Answer:
15 weeks
Step-by-step explanation:
Let the number of weeks = x.
At the end of x weeks,
Jeremy has 120 + 14x,
and Katie has 180 + 10x
We want to know when their amounts are equal.
120 + 14x = 180 + 10x
4x = 60
x = 15
Answer: 15 weeks