To solve, use properties of logs, specifically log(u)+log(v)=log(uv). This makes your equation logb(x+1)+logb(x-8)=logb((x+1)(x-8)), which can be made into logb(x^2-7x-8) by expanding the factored form.
price of the original ticket is p
discounted ticekt means that the ticket is sold at a lower price than the original price
the price of the discounted ticket is $53
the price you pay for the discounted ticket is $14.5 less than the original price
therefore we can bulid the following formula
p - 14.5 = 53
p = 53 + 14.5 = 67.5
therefore original price is $67.5
Given :
In 2006, 65.2 million people subscribed to cable television.
In 2013, that number had decreased to 54.2 million.
To Find :
The percent decrease in the number of cable TV subscribers from 2006 to 2013.
Solution :
Decrease in the number of cable TV subscribers from 2006 to 2013 is :
Therefore, percentage decrease is 16.87 %.
Answer:
D
Step-by-step explanation:
Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the corresponding factors are
(x - 5) , (x - 7)
The equation is then the product of the factors, that is
y = (x - 5)(x - 7) ← expand using FOIL
= x² - 7x - 5x + 35 ← collect like terms
y = x² - 12x + 35 → D
<h3><u>The value of a is equal to 0.93.</u></h3>
-6(7a - 4) = 3(a - 7) + 3
Distributive property.
-42a + 24 = 3a - 21 + 3
Add 42a to both sides.
24 = 45a - 21 + 3
Combine like terms.
24 = 45a - 18
Add 18 to both sides.
42 = 45a
a = 0.93