Answer and Step-by-step explanation:
Let x and y be two positive integers and their sum is 14:
X + y = 14
And the sum of square of this number is:
f = x2 + y2
= x2+ (14 – x)2
Differentiate with respect to x, we get:
F’(x) = [ x2 + (14 – x)2]’ = 0
2x + 2(14-x)(-1) = 0
2x +( 28 – 2x)(-1) = 0
2x – 28 +2x = 0
2x + 2x = 28
4x = 28
X = 7
Hence, y = 14 – x = 14 -7 = 7
Now taking second derivative test:
F”(x) > 0
For x = y = 7,f reaches its maximum value:
(7)2 + (7)2 = 49 + 49
= 98
F at endpoints x Є [ 0, 14]
F(0) = 02 + (14 – 0)2
= 196
F(14) = (14)2 + (14 – 14)2
= 196
Hence the sum of squares of these numbers is minimum when x = y = 7
And maximum when numbers are 0 and 14.
Answer:
153
Step-by-step explanation:
8x4=32
5x3=15
32-15=17
9x17=153
Answer:
2x + 9
Step-by-step explanation:
Let, "A number", be denoted by the variable, x.
Note the meaning of each part:
"the sum" means addition, or + .
"twice" means multiply by 2
Put the parts together:
The sum of 9 and twice a number
2x + 9 is your amsw34.
A.
(7^2)^x = 1
(49)^x = 1
thus x = 0
B.
<span>(7^0)^x=1
(1)^x = 1
thus x can be any real number.
</span>
In order to calculate the total cost of the purchase, we must first assess that there were two items bought, turkey and lamb. Next, we see multiply the cost of the first item by its quantity, so:
cost(T) = 2.15 * 7.89
cost(T) = $16.96
And repeat for the second item:
cost(L) = 1.87 * 7.89
cost (L) = $14.75
Finally, the total cost is the sum of these costs. So
Total = 16.96 + 14.75
Total = $31.71
