Answer:
2(d-2)/(2d+1) or 1 - 5/(2d+1)
d can not be -½
Step-by-step explanation:
(d-3)/(2d+1) + (d-1)/(2d+1)
Lcm: 2d+1
(d-3+d-1)/(2d+1)
= (2d-4)/(2d+1)
= 2(d-2)/(2d+1)
If further simplification required:
= (2d-4)/(2d+1)
= (2d+1-5)/(2d+1)
= (2d+1)/(2d+1) - 5/(2d+1)
= 1 - 5/(2d+1)
2d+1 = 0
When d = -½
So d can not be -½ because when the denominator becomes 0, fraction becomes undefined
Answer:

Step-by-step explanation:
Rationalizing the denominator of a fraction is when one multiplying fraction such that it removes any radical from the denominator. This can be done by multiplying both the numerator and the denominator by the radical that is present in the denominator. In fractional terms, a number over itself is equal to one, therefore, doing this would keep the equation true. After multiplying, one will simplify the resulting fraction.

Simplify like factor found in both the numerator and the denominator,

Answer:
20 >= 4*c - 8
Step-by-step explanation:
Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. Let's solve for the initial value of the linear function that represents thissituation.
=> 45 gallon aquarium at rate of 15 gallons per minute.
=> 45 gallon / 15 gallon = 3 minutes.
Therefore with the rate of 15 gallons per minutes, Hideki will be able to finish the 45 gallon aquarium in 3 minutes.