Express 10 as a product of prime factors in index form
1 answer:
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Answer:
x = 3 is extraneous
Step-by-step explanation:
Given
= x - 5 ( square both sides to clear the radical )
4x - 8 = (x - 5)² ← expand using FOIL
4x - 8 = x² - 10x + 25 ( subtract 4x - 8 from both sides )
0 = x² - 14x + 33 ← in standard form
0 = (x - 11)(x - 3) ← in factored form
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
x - 3 = 0 ⇒ x = 3
As a check
Substitute these values into the equation and if both sides are equal then they are solutions
x = 11
left side = =
= 6
right side = 11 - 5 = 6
Thus x = 11 is a solution
x = 3
left side = =
= 2
right side = 3 - 5 = - 2 ≠ 2
Thus x = 3 is an extraneous solution
we know that
The simple interest formula is equal to
where
I is the simple interest
P is the principal ( the amount borrowed or deposited)
r is the interest rate
t is the time
in this problem we have
Substitute the values in the formula above
therefore
<u>the answer is</u>
The amount of interest earned is equal to
Answer:
A=n*2+15n+36
Step-by-step explanation:
