Answer:
994
Step-by-step explanation:
First, let's translate the statement into a mathematical expression.
Now, we can evaluate the expression when t = 2.
Answer:
23+19+27+x = 96
x > 27
not sure if the answer can be left that way or do you assume that test results are whole numbers, if so then the answer would b=have to be 28.. but I think that >27 is the answer expected
Step-by-step explanation:
Answer:
(a) TRUE; (b) FALSE; (c) TRUE
Step-by-step explanation:
a. The instantaneous rate of change at 4 is 0. TRUE.
The function is f(x) = a(x-4)^2 - 10; the derivative of this function is f '(x) = 2a(x-4), which must equal zero (0) at the vertex / max (4,10). Zero slope at the vertex corresponds with instantaneous rate of change zero at that point.
b. f(6)>f(4). FALSE.
Using the function given in (a), above, f(x) = a(x-4)^2 - 10. Since (4,10) is the max of this function, f is increasing on (-infinity, 4) and decreasing on (4, infinity). Thus, f(6) is smaller than f(4).
c. There is only one possible value for x that has an instantaneous rate of change = 0. TRUE
The inst. rate of change takes on the value 0 only at (4,10), since (4,10) is the vertex of this downward-opening parabolic graph.
Answer:
a. 2.25 km
Step-by-step explanation:
the scale on a map means how many units in the mapp corresponds to how many units in reality.
in this case
1 cm on the map = 75000 cm in reality =
= 75000/100 m = 750 m =
= 750/1000 km = 0.75 km
3 cm = 3×1 cm = 3 × 0.75 km = 2.25 km
-3x - 20 = x
4x = -20
x = -5
The number you are looking for is negative 5