Answer:
25/4 will have to be added to "complete the square"
Step-by-step explanation:
x² - 5x - 18 = 0
x² - 5x = 18
Find the half of the coefficient of x and square it
(5/2)² = 25/4
Add 25/4 to both sides to complete the square
x² - 5x + 25/4 = 18 + 25/4
x² - 5x + 25/4 = 18(4/4) + 25/4
x² - 5x + 25/4 = 72/4 + 25/4
x² - 5x + 25/4 = (72+25)/4
x² - 5x + 25/4 = 97/4
(x - 5/2)² = 97/4
Find the square root of both sides
√(x - 5/2)² = ±√97/4
x - 5/2 = √97/2
x = √97/2 + 5/2 or x = -√97/2 + 5/2
x = 7.42443 or -2.42443
Answer:
Option (c) is correct.
The distance covered by the man in 1 hour is represented by te expression
miles.
Step-by-step explanation:
Given: A man walks 10 miles in x hours.
We have to choose a correct expression that represents the distance covered by the man in 1 hour.
Consider the given statement."A man walks 10 miles in x hours."
Using UNITARY METHOD,
(is a method in which we first find the value of a single unit and then multiply it with desired quantity)
Distance covered by man in x hours = 10 miles,
So distance covered by man in 1 hour =
miles.
So, The distance covered by the man in 1 hour is represented by te expression
miles.
Data:
P (Principal) = $1500
I (Simple Interest) = ?
t (time) = 5 years
r (percentage rate) = 4% = 0.04
Formula:

Solving (1) <span>Find the interest earned.</span>



Solution (2) <span>Find the balance of the account.
</span>The future value, (Account), of a loan is given by the equation: A = P + I

