Answer:
9
Step-by-step explanation:
not 9
Answer:
x = 2i, x = -2i and x = 4 are the roots of given polynomial.
Step-by-step explanation:
We are given the following expression in the question:
One of the zeroes of the above polynomial is 2i, that is :
Thus, we can write
Now, we check if -2i is a root of the given polynomial:
Thus, we can write
Therefore,
Dividing the given polynomial:
Thus,
X = 4 is a root of the given polynomial.
Thus, 2i, -2i and 4 are the roots of given polynomial.
Solid paper costs 1.75 each
Printed paper costs 2.50 each
Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of
printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of
printed paper)
Let x = solid paper
Let y= printed paper
12x + 9y = 43.50
8x + 15y = 51.50
Find X:
8x + 15y = 51.50
8x = 51.50 - 15y
x= (51.50 - 15y)8
Substitute X:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618-180y + 72y =348
-108y = 348 - 618
-108y =-270
-108y/-108=-270/-108
Y= 2.50
x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x= (51.50 - 37.50\8
X = 14/8
X = 1.75
To check: x = 1.75; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50
Hope that helps! Have a good day :)
Answer:
By adding 1 to the quotient.
Step-by-step explanation:
The Harbormaster needs to arrange tripe for 37 cars
in one go ferry can carry a maximum of 8 cars
trips = 37/8 = 4.625 trips
Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.
Answer:
1/2
Step-by-step explanation:
3/4 x 2/3
= 1/2
