Answer:
x−2x4+2x3−7x2−8x+12=x3+4x2+x−6
The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have
\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3
Finally, we can factorize the remaining quotient easily:
x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)
so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .
We are given
length of rectangular yard is x
so, 
width of rectangular yard is
so, 
We are given
the length of the enclosed yard is 50 feet
so, we get

now, we can plug x=50 and then we can find width


now, we can find total fencing length
so, total fencing length is

now, we can plug values


now, we are given
the cost of fencing is $13 per foot
so,
total cost = (cost of fencing)*(total fencing length)
we can plug values


So, Janice will spend $4030.........Answer
Answer:
It's 317 miles.
Step-by-step explanation:
You just take the amount of miles it is from her grandparents house and the amount of miles to her cousins house and then you subtract them.
452-135=317 miles apart.
You have to divide 48 by 4. How many times does 4 go into 48.....................12 times.
We are basically given most of what we need to calculate the height of the cannonball.
We use the formula h = –16t+ vt + s to find the height requested.
Let v = 160
Let s = 10
Let t = time in seconds
Was the value of t included? We need to know t to plug into our formula.
You know everything else except for t. Go back to your notes to search for t. Afterward, plug the value of t and everything else given above into the formula and calculate to find h.