let's recall the remainder theorem.
we know that (x-1) is a factor, that means x -1 = 0 or x = 1.
since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.
![f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2Bkx-11%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C%5Cstackrel%7B0%7D%7Bf%281%29%7D%3D3%281%29%5E3%2Bk%281%29-11%5Cimplies%20%5Cstackrel%7Bf%281%29%7D%7B0%7D%3D3%2Bk-11%5Cimplies%200%3D-8%2Bk%5Cimplies%208%3Dk)
This is a fraction equal to
7 yards ÷ 4 dresses
We want a unit rate where
<span>1 is in the denominator, </span>
so we divide top and bottom by 4.
7÷4= 1.75
_
4÷4=1.
Therefore, Kate used 1.75 yards per one dress (1.75 yds. p/ d)
Hope I helped! :)
A cubic yard is equal to 27 cubic feet.
And one cubic yard is 2 tons.
Answer:
The distance between the two points is 13 units.
Step-by-step explanation:
take the test
The question is not clear here for me plz put the graph so I may answer
