Answer:
To find the number of genuine solutions for a system of equations consisting of a linear equation and a quadratic equation
1) With two variables, say x and y, rearrange the linear equation to express y, then substitute this y in the quadratic equation
After that, simplify the resulting equation and determine the number of real roots utilizing the quadratic formula, 
for equations of the type 0 = a·x² - b·x + c.
When b² exceeds 4·a·c, two real solutions emerge; if b² equals 4·a·c, there will be a single solution.
Step-by-step explanation:
Answer: 0.12
Step-by-step explanation:
There are a total of 65 candy bars. Within this amount;
2 candy bars contain 300 to 350 calories
1 candy bar contains 350 to 400 calories
4 candy bars contain 400 to 450 calories
1 candy bar contains 450 to 500 calories
Thus, the overall ratio of candy bars with more than 300 calories is;
= (2 + 1 + 4 + 1) / 65
= 8/65
= 0.12
During an archaeological excavation, an ancient campfire is uncovered. The charcoal is determined to have significantly less than 1/1000 of the standard amount of 
. Calculate the minimal age of the charcoal, taking into account that 
Response:
57300 years
Step-by-step breakdown:
Using the relationship of half-life time against fraction, which can be expressed as:
In this context,
N indicates the current atom
represents the initial atom
t signifies the time
denotes the half-life
Since the charcoal was found to contain less than 1/1000 of the typical amount of
.
Thus;
However; the objective is to estimate the minimum age of the charcoal while noting
this means , then:
If
Then
Consequently, it can be estimated that the minimum time elapsed is 10 half-lives.
For , the standard half-life time is 5730 years
Thus, the estimation of the minimum age of the charcoal is 5730 years × 10
= 57300 years
