Answer:
The three zeros of the original function f(x) are {-1/2, -3, -5}.
Step-by-step explanation:
"Synthetic division" is the perfect tool for approaching this problem. Long div. would also "work."
Use -5 as the first divisor in synthetic division:
------------------------
-5 2 17 38 15
-10 -35 -15
--------------------------
2 7 3 0
Note that there's no remainder here. That tells us that -5 is indeed a zero of the given function. We can apply synthetic div. again to the remaining three coefficients, as follows:
-------------
-3 2 7 3
-6 -3
-----------------
2 1 0
Note that the '3' in 2 7 3 tells me that -3, 3, -1 or 1 may be an additional zero. As luck would have it, using -3 as a divisor (see above) results in no remainder, confirming that -3 is the second zero of the original function.
That leaves the coefficients 2 1. This corresponds to 2x + 1 = 0, which is easily solved for x:
If 2x + 1 = 0, then 2x = -1, and x = -1/2.
Thus, the three zeros of the original function f(x) are {-1/2, -3, -5}.
Answer:The tip is 5.70 and the whole price is 43.70
Step-by-step explanation:those are exact
<u><em>20</em> palindromes exist that qualify this criteria rigorously</u>
Examples:
52025, 52125, 52225, 52325, 52425, 52525, 52625, 52725, 52825, 57975 etc.
Answer:
30ft2. (C.)
I did this question once.
Sorry for my Lack of explanation.-
Answer: Length = 28 feet and width = 9 feet
Step-by-step explanation:
Let x = width of the wall.
Then, Length of the wall = 10+2x
Since , Area of rectangle = length x width
Then, as per given,

Since width cannot be negative , so x = 9
So width = 9 feet and length = 10+2(9)=10+18 = 28 feet
Hence, length is 28 feet and width is 9 feet of the wall of the barn.