In this question, you are only able to cancel out the (x + 5). The others are unable to be cancelled.
Answer:
d = 22 - x / 25
Step-by-step explanation:
The first thing is to calculate the tank capacity, we know that per gallon 25 miles are traveled and at 500 miles there were still two gallons, therefore:
500 miles / 25 miles / gallon = 20
and how there were still 2
20 + 2 = 22
the tank has a 22 gallon capacity
Therefore the equation would be:
d = 22 - x / 25
where x is the number of miles traveled.
for example, if they have traveled 500 miles it would be:
d = 22 - 500/25 = 22 - 20
d = 2 gallons
we can verify that it is correct because it is what the statement says
Answer:
Greatest integral value of K = 3.
Step-by-step explanation:
The nature of the roots of a quadratic equation is determined by the sign of the discriminant, b^2 - 4ac. For non-real roots this is negative.
2x^2 - kx + 9 = 0
The discriminant = (-k)^2 - 4*2*2 , so:
k^2 - 16 < 0 for non-real roots.
k^2 < 16
k < √16
k < 4
So the answer is 3.
The greatest integral value is 8.
