For this case we have the following functions:

The first thing we must do is calculate the sum of functions or equivalently:

We have then:

To complete the sum, we must add the terms whose exponents are equal.
We have then:

Then, we evaluate the function for x = 2:

Rewriting we have:
Answer:
Given:
x = candy selling at 6 per pound
y = candy selling at 9 per pound
x + y = 15
6x + 9y = 15(7)
6x + 9y = 105
x = 15 - y
6(15-y) + 9y = 105
90 - 6y + 9y = 105
3y = 105 - 90
3y = 15
3y/3 = 15/3
y = 5
There should be 5 pounds of more expensive candy.
x = 15 - y
x = 15 - 5
x =10
There should be 10 pounds of less expensive candy.
<h3>
Answer: B. Diagonals are congruent.</h3>
Explanation:
If the diagonals are congruent, then we'd have a rectangle. Any rectangle is a parallelogram, but not the other way around.
If we had a non-rectangular parallelogram, with none of the angles 90 degrees, then the diagonals will not be the same length.
Choices A, C and D are true for any parallelogram (rectangle or not).
Answer:
F=100
E=80
D=90
Step-by-step explanation:
Prob of tails times prob of rolling more than 3
0.5 × 0.5 = 0.25
25%