Hi there!
We can use the discriminant of the quadratic formula to find the number of real solutions to this (or any other quadratic) equation.
The discriminant can be found by plugging in the data from the equation into the following formula:
When we fill in the data from the question we get
Since d < 0 the equation has zero real solutions.
The easiest way to find the number on a number line is to first multiply and then use it as a mixed number. Mixed numbers are generally easier to place on a number line than multiplication or improper fractions.
4 * 2/5 = 8/5 = 1 and 3/5
Since we have the mixed number of 1 and 3/5 we know we can go just past halfway between 1 and 2 on the number line.
Answer:
Jorge was charged for 10 hours that month
Step-by-step explanation:
Given : Jorge’s monthly bill from his Internet service provider was $25.
Also given : The service provider charges a base rate of $15 per month plus $1 for each hour that the service is used
We have to find the number of hours that Jorge was charged for that month.
Let the number of hour be x,
Total bill = base rate + 1 (number of hours used)
Total bill = base rate + 1(x)
Substitute the values, we get,
⇒ 25 = 15 + 1 (x)
Solving we get,
⇒ 25 - 15 = x
10 = x
Thus, Jorge was charged for 10 hours that month
We collect like terms:
15b + 13c - 12b + 10c + 8
= (15b - 12b) + (13c + 10c) + 8
= 3b + 23c + 8
Answer: 3b + 23c + 8
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