Answer:
H
Step-by-step explanation:
given y = -x² + 3x.
let f(x) be y.
f(-2) = -(-2)² + 3(-2) = -10
f(-1) = -(-1)² + 3(-1) = -4
f(0) = -(0)² + 3(0) = 0
f(1) = -(1)² + 3(1) = 2
f(2) = -(2)² + 3(2) = 2
The answer is Option B 
Step-by-step explanation:
Step 1: Group the given cubic polynomial into two sections.
So polynomial can be grouped as
Step 2:Find what's the common in each section.
In section 
the come term is 
In section (8x + 48) the come term is 8
Step 3:Factor the commonalities out of the two terms.
Factoring out from the first section , we get 
Factoring out 8 from the second section(8x + 48) , we will get 8(x + 6).
Step 4: Combine the factors together for terms contains the same factor,
Combining we get,
The total number of beads that Lexi could accommodate based
on the on hand items is 101 beads. Subtract the number of beads she needs which
is 144 beads with 101 beads. The amount of beads that would need a box is 43
beads. Since a medium box could only accommodate 10 beads at a time, divide 43
with 10 and the answer would be 4 remainder 3. Thus Lexi would only need 4
medium boxes.
X stands for the score of her first test
Y stands for the score of her second test
For the first digit of the required 20-digit number, we can have 9 choices for the number, those are the digits 1 to 9. In the second digit of the number, we will only have 8 choices. That is because, we don't want to write a number in the second digit that is similar to the first digit and the third digit.
Similarly, in the third digit's place, we will only have 8 choices because we do not want the digit to be similar to the second digit and the fourth digit. This will go on up until the 19th digit. In the 20th digit, we will also have 9 choices (from 0-9) but we do not want the digit to be similar to the 19th digit.
From the explanation given above, we have the number of ways,
n = 9 x 8^(19 - 1) x 9 = 1.459 x 10^18
<em>ANSWER: 1.459 x 10^18</em>
