Answer:
B) Exp. Decay
Step-by-step explanation:
Because the term getting raised to a power is under 1, the function immediately starts going down and approaches negative infinity as x approaches infinity.
Answer:
520 m
Step-by-step explanation:
Perimeter is the distance around a shape. To find the perimeter, you add up all the sides.
200 + 60 + 60 + 200 = 520 m
Answer: No solution
Step-by-step explanation:
Perimeter= 2(length) + 2(width)
If they have the same perimeter than we can write their values as an equation like this:
2(10) + 2x = 2(6) + 2(x + 3)
20 + 2x = 12 + 2(x+3)
DISTRIBUTE THE 2 TO THE X AND THE 3
20 + 2x = 12 + 2x + 6
COMBINE LIKE TERMS
20 + 2x = 18 + 2x
SUBTRACT 2X FROM BOTH SIDES
20 = 18
<u>THE EQUATION HAS NO SOLUTION, AND YOU ARE CORRECT</u>
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so


Answer:
Option 3
Step-by-step explanation:
Pythagorean Theorem:
