Answer:
Answer:The y coordinate of point D after translation is 1
Step-by-step explanation:
Discriminant = b² - 4ac
Discriminant = (6)² - 4(3)(-2)
Discriminant = 36 - (-24)
Discriminant = 36 + 24
Discriminant = 60
The quotient is x^3 + 4x^2 -x + 1.
Solution:
By polynomial grid division, we start by the divisor 3x + 10 placed on the column headings.
3x 10
x^3 3x^4
We know that 3x^4 must be in the top left which means that the first row entry must be x^3. So the row and column multiply to 3x^4. We use this to fill in all of the first row, multiplying x^3 by the terms of the column entries.
3x 10
x^3 3x^4 10x^3
4x^2
We now got 10x^3 though we want 22x^3. The next cubic entry must then be 12x^3 so that the overall sum is 22x^3.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3
Now we have 40x^2, so the next quadratic entry must be -3x^2 so that the overall sum is 37x^2.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3 40x^2
-x -3x^2 -10x
This time we have -10x, so the next linear entry must be 3x so that the overall sum is 7x.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3 40x^2
-x -3x^2 -10x
1 3x 10
The bottom and final term is 10, which is our desired answer. Therefore, we can now read the quotient off the first column:
3x^4+22x^3+37x^2-7x+10 / 3x + 10 = x^3 + 4x^2 -x + 1
Answer:
The total the salesperson makes is $64.80.
Explanation:
Since nine percent of $720 is $64.80, that is what the salesperson gets per week if they sell $720 worth of jewelry per week. The amount the store gets is $655.20. Thank you for reading, and please mark Brainliest if you got it right!
Answer:
21/110
Step-by-step explanation:
REPLACEMENT
11 letters
7 consonants
3 e's
P(consonant) = consonant/total = 7/11
Now we keep that card so there are only 10 cards left
P (e) = e / total = 3/ 10
P ( consonant then an e keeping the first card) = 7/11 * 3/10
=21/110