The person that factored the polynomial did one thing wrong -- they used minus signs when they should've used plus signs. We can figure this out because of the values of the quantities in the original trinomial. Since all of them are positive, we know that either there are two plus signs or that there is a minus and a plus sign with the value to the right of the plus sign being greater than the value to the right of the minus sign. But, that wouldn't work here, so the only thing wrong with this answer is that the plus signs should be minus signs.
Answer:
7) BC = 10
8) BD = 20
Step-by-step explanation:
7) The segment addition theorem tells you ...
AB +BC +CD = AD
(3x+2) +(2x+4) +(3x-2) = 28
8x +4 = 28 . . . . collect terms
8x = 24 . . . . . . . subtract 4
x = 3 . . . . . . . . . divide by 8
BC = 2x+4 = 2(3) +4
BC = 10
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8) AB +BD = AC +CD
(2x -14) +(-7 +3x) = (2x -3) +(9)
5x -21 = 2x +6
3x = 27
x = 9
BD = -7 +3x = -7 +3(9)
BD = 20
Hello!
To answer this question we need to find the factors of -120.
The total set (both negative and postive! ) are the following:
- 1, -120
- 2, -60
- 3, -40
- 4, -30
- 5, -24
- 6, -20
- 8, -15
- 10, -12
- 12, -10
- 15, -8
- 20, -6
- 24, -5
- 30, -4
- 40, -3
- 60, -2
- 120, -1
After looking over all of these factors, we can see that 10 · -12 is equal to not only -120, but when the multiplication sign is replace by addition, it is equal to -2!
Hope this helps.
Answer:
C. 12
Step-by-step explanation:
Average rate of change = 
Where,
a = 1, f(a) = 3
b = 3, f(b) = 27
Average rate of change = 
Average rate of change = 
Average rate of change for the interval from x = 1 to x = 3 is 12
Answer is P=3.5 or p=7/2
They are both correct
