The number of roots of a quadratic function can be determined from its discriminant.
If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.
The discriminant can be calculated as:
Disc = b² - 4ac
For the given equation:
Disc = 9 - 4(2)(1) =1
Since the value of discriminant is positive, the function will have two distinct roots.
So, the answer to this question is option B
Answer:
369.7 mL of medication
Step-by-step explanation:
How many mL of medication are needed to last 10 days if the dose of medication is 2.5 tsp TID (three times a day)?
From the above question,
The dosage of the medication =
2.5 tsp 3 times a day
= 2.5 × 3 = 7.5 tsp per day.
Since
1 day = 7.5 tsp
10 days = x tsp
Cross Multiply
x = 10 × 7.5 tsp
x = 75 tsp of medication for 10 days.
Step 2
It is important to note that:
1 tsp = 4.929 mL
75 tsp = x mL
Cross Multiply
x = 75 × 4.929 mL
x = 369.669 mL of medication
Approximately = 369.7 mL of medication
Let x represent the number.
"three times a number" is 3x
eight less than "three times a number" is 3x-8
"is more than 22" is "> 22"
Your inequality is
3x-8 > 22
Answer:
Step-by-step explanation:
Given that a consumer magazine article titled "How Safe Is the Air in Airplanes" reports that the air quality, as quantified by the degree of staleness, was measured on 175 domestic flights.
The purpose was to study about the safety of all flights as a whole.
Since all flights cannot be measured within a reasonable time, a sample of 175 domestic flights were taken.
a) The population of interest here would be the measure of safety of all the airplanes.
b) Sample is the 175 domestic flights selected
c) Characteristics of interest is the safety in travelling by air in Airplanes due to air quality.
