The graph you chose has a y intercept of 5. In other words, the point (0,5) is on that graph. However, if we plugged x = 0 into the function f(x), we get
f(x) = 3*5^x
f(0) = 3*5^0
f(0) = 3*1
f(0) = 3
So the point (0,3) is actually on the graph. The graph is increasing. So the answer is the upper left corner (instead of the upper right corner)
2 1/3 + (-1 2/3)
2 1/3 - 1 2/3
7/3 - 5/3
2/3
Hope it helps
Let width of the rectangular plot be x meters
then total of widths = 2x
and the length would be (550 - 2x) meters.
so the area = x(550 - 2x) = 550x - 2x^2
to find the maximum are find the derivative and equate to zero:-
f'(x) = 550 - 4x = 0
x = 550/4 = 137.5 meters = width
length = 550 - 2(137.5) = 275
Maximum area is when width = 137.5m and length = 275m
Answer:
- first rectangle: 18 by 9
- second rectangle 21 by 6
- x = 9
Step-by-step explanation:
The perimeter in each case is double the sum of the side dimensions. Since the perimeters are equal, the sum of side dimensions will be equal:
2x +x = (x +12) +(x -3)
3x = 2x +9 . . . . . . . . collect terms
x = 9 . . . . . . . . . . . . . subtract 2x
Given this value of x, the dimensions of the first rectangle are ...
{2x, x} = {2·9, 9} = {18, 9}
And the dimensions of the second rectangle are ...
{x+12, x-3} = {9+12, 9-3} = {21, 6}
Answer: 2369
Step-by-step explanation:
Smallest-to-biggest wo uld create the smallest number
