48/4 = 12 teaspoons per each batch
454/12 = 37.83 batches can be made
3.49/37.83 = 0.092$ per each batch
30.597/47 = 0.651
so 0.651 is your answer
Definitely multiply out the given factors:
f(x) = 10 + 2x - 5x - x^2, or f(x) = -x^2 - 3x + 10
Find the derivative: f '(x) = -2x - 3
Set the deriv. = to 0 and solve for x: -2x = 3, and x = -3/2
This x = -3/2 is the x-coordinate of the max value. The y-coord. is
f(-3/2) = (-3/2)^2 - 3(-3/2) + 10 = 21.25
I realize that this result does not agree with any of the four possible answers. Please ensure that y ou have copied down this problem completely and correctly.
Answer:
The side lengths cannot belong to a right triangle.
Step-by-step explanation:
This is a simple case of Pythagorean proof. If this triangle was a right triangle, 20^2 + 21^2 = 28^2. However, this is not the case. 20^2 + 21^2 = 841, which square root is 29.
If you forgot, the Pythagoren Theorem is: a^2 + b^2 = c^2.
Hope this helps!
Answer:
f(g)x))= x^2 -6x +4
Step-by-step explanation:
first, plug in g(x) into f(x): f(g)x)) =(x-3)^2 -5
then, you simplify the (x-3)^2 into (x-3)(x-3): f(g)x))= (x-3)(x-3) -5
when you distribute the two (x-3) you end up with: f(g)x))= x^2 -6x +9 -5
finally, you combine like terms and subtract 5 from 9 and your final answer is : f(g)x))= x^2 -6x +4
note: x^2 is x squared or exponent of 2
