Answer:
Quotient = x - 7
Step-by-step explanation:
We are dividing x^2 - 5x +8 by x + 2
x + 2√x^2 - 5x + 8
Starting with dividing by x
x - 7
x + 2√ x^2 - 5x + 8
Multiplying x by x + 2
x
x + 2√ x^2 - 5x + 8
-
x^2 + 2x
= -7x + 8
Step ii, pick -7 for division
-7x + 8
-
-7x - 14
= +8 -(-14)
= 8+14
= 22
The answer is
( x - 7) remainder 22
(x - 7) is the quointent
22 is the remainder
Answer:
Sam initially made 45 bread rolls
Step-by-step explanation:
Let x = total number of bread rolls made by Sam. He gives 2/5 of the bread to his neighbor. This means he gave 2/5 × x =
2x/5 bread rolls to his neighbor.
The remainder would be x - 2x/5 =3x/5
He gave 4/9 of the remainder to his cousin = 4/9 ×3x/5=12x/45
=4x/15
He has 15 bread rolls left
Total number of bread rolls = what he has left + what he gave his cousin + what he gave his neighbor
x = 15 + 4x/15 + 2x/5
Taking LCM of 15 and cross multiplying
15x= 225+4x + 6x
15x = 225 +10x
15x-10x = 225
5x = 225
x = 225/5 =45
Sam initially made 45 bread rolls
Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Answer:
Step-by-step explanation:
percentage of graduates with loan = 62%
total sample = 50
Number of student in the sample with student loan
= (percentage of graduates with loan) x (total sample)
= 62% x 50
= 31
Proportion of student in the sample with student loan =
Answer is 553 beasts
Step by step:
Multiply 158 by 3 to get 474
Divide 158 by 2 to get 79
Add 474 with 79 and get 553
