Answer:
(
) || (
)
Step-by-step explanation:
When two lines are parallel, all four angles formed by the intersection of the two lines are right angles, meaning their angle measures are (90°). This means that alternate interior angles are congruent because all alternate interior angles measures equal (90°). Therefore, by the alternate interior angles converse theorem, lines () and () are parallel.
The alternate interior angles converse theorem states if two angles are congruent and they have the relation of being a part of two lines intersected by a third line, then the two non-intersecting lines are parallel.
Answer:
a) Y(x) = {900, x≤30; 900-40(x-30), x>30}
b) T(x) = {900x, x≤30; 2100x-40x², x>30}
c) dT/dx = {900, x≤30; 2100-80x, x>30}
Step-by-step explanation:
a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.
__
b) The yield per acre is the product of the number of trees and the yield per tree:
T(x) = x·Y(x)
__
c) The derivative is ...
_____
The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.
Answer:
B. 27.5
Step-by-step explanation:
1/2 (b x h)
B (Base) = 11
H (Height) = 5
1/2 (11 x 5)= 27.5
Answer:
3/13
Step-by-step explanation:
8/13 subtract by 5/13. If the denominator is the same, you keep it, don't change it. Just subtract the numerator.
Make sure to simplify, if it is already simplified that will be the answer.
The answer should be y=-4x^2
