now, let's recall the rational root test, check your textbook on it.
so p = 18 and q = 1
so all possible roots will come from the factors of ±p/q
now, to make it a bit short, the factors are loosely, ±3, ±2, ±9, ±1, ±6.
recall that, a root will give us a remainder of 0.
let us use +3.
well, that one worked... now, using the rational root test, our p = 6, q = 1.
so the factors from ±p/q are ±3, ±2, ±1
let's use 3 again
and of course, we can factor x²-x-2 to (x-2)(x+1).
(x-3)(x-3)(x-2)(x+1).
Answer:
,
,
.
Step-by-step explanation:
Given fractions ,
,
.
We need to list them from least to greatest.
In order to arrange them from least to greatest, we need to find the least common denominator of ,
,
.
We have 3, 6 and 5 in denominators.
Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.
Let us covert each denominator as 30.
Multiplying first fraction by 10 in top and bottom, we get
Multiplying first fraction by 5 in top and bottom, we get
Multiplying first fraction by 6 in top and bottom, we get
Now, we can check
is the smallest,
is greater and
is the greatest.
Therefore, we can arrange fractions
Writing original fractions in place of equivalent fractions, we can write
,
and
.
Therefore, the order the amounts of paint from least to greatest is:
,
,
.
Answer:
-3
Step-by-step explanation:
we khow that the vertex form of a function is written this way :
f(x)=a(x-h)²+k
