3 1/2 * 6 1/2
3 1/2 to improper fraction = (3*2 + 1) / 2 = 7/2
6 1/2 to improper fraction = (6*2 + 1) / 2 = 13/2
3 1/2 * 6 1/2 = 7/2 * 13 /2 = 91 / 4
91 / 4
= 22 3 /4 square unit
Answer:
there are 36 possible bag lunches
Step-by-step explanation:
Assuming that the possible sandwiches do not depend on the selection of the chips and fruits ( and the same for chips or fruits respect to the other food in the bag)
then
number of possible bag lunches= possible sandwiches * possible chips* possible fruits = 3 * 4 *3 = 36
then there are 36 possible bag lunches
Answer: the maximum is 25.
Step-by-step explanation: a max/min can occur on the endpoints of a function and critical points of the function's derivative.
f(x)=x^4-x^2+13
f'(x)=4x^3-2x
The critical points of f'(x) occur when f'(x) is zero or undefined. f'(x) is not ever undefined in this case, so we just need to find the x values for when it's zero.
0=4x^3-2x
x=.707, -.707
Now that we have the critical points of f'(x) (.707 and -.707) and endpoints (-1 and 2), we can plug in these x values into the original function to determine its maximum. When you do this you'll find that the greatest y value produced occurs when x=2 and results in a max of 25.
what i did to get my answer was 13*6*6 because the whole circle is 12 and so i got 468.
Try this solution:
There are several ways to find the max or min of the given function:
1. to use derivative of the function. For more details see the attachment (3 basic steps); the coordinates of max-point are marked with green (-5; 14.5)
2. to use formulas. The given function is the standart function with common equation y=ax²+bx+c, it means the correspond formulas are (where a<0, the vertex of this function is its maximum):
Finally: point (-5;14.5) - maximum of the given function.
3. to draw a graph.
