Answer:
Option d) is correct
That is x equals plus or minus start fraction 11 over two end fraction
Step-by-step explanation:
Given quadratic equation is 
To write the given quadratic equation by using a difference-of-squares factoring method:
The above equation can be written as
The above equation is in the form of difference-of-squares
Therefore the given quadratic equation can be written in the form of difference-of-squares
by factoring method is
(which is in the form 
)
2x+11=0 or 2x-11=0
or 
or 
Therefore option d) is correct
That is x equals plus or minus start fraction 11 over two end fraction
Answer:
x = sqrt(29)/2 - 3/2 or x = -3/2 - sqrt(29)/2
Step-by-step explanation by completing the square:
Solve for x over the real numbers:
x^2 + 3 x - 5 = 0
Add 5 to both sides:
x^2 + 3 x = 5
Add 9/4 to both sides:
x^2 + 3 x + 9/4 = 29/4
Write the left hand side as a square:
(x + 3/2)^2 = 29/4
Take the square root of both sides:
x + 3/2 = sqrt(29)/2 or x + 3/2 = -sqrt(29)/2
Subtract 3/2 from both sides:
x = sqrt(29)/2 - 3/2 or x + 3/2 = -sqrt(29)/2
Subtract 3/2 from both sides:
Answer: x = sqrt(29)/2 - 3/2 or x = -3/2 - sqrt(29)/2
Answer:
y = 2x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
- 2x + y = 1 ( add 2x to both sides )
y = 2x + 1 ← in slope- intercept form
Given :
For the school's sports day, a group of students prepared 12 1/2 litres of lemonade. At the end of the day they had 2 5/8 litres left over.
To Find :
How many litres of lemonade were sold.
Solution :
Initial amount of lemonade, I = 12 1/2 = 25/2 litres.
Final amount of lemonade, F = 2 5/8 = 21/8 litres.
Amount of lemonade sold, A = I - F
A = 25/2 - 21/8 litres
A = 9.875 litres
Therefore, 9.875 litres of lemonade were sold.
Hence, this is the required solution.
9514 1404 393
Answer:
5 hours
Step-by-step explanation:
Time is proportional to distance:
t/1075 = 3/645
t = 1075(3/645) = 5
It will take 5 hours to travel 1075 miles at that rate.
