Response:
0; 10; 20
Detailed explanation:
x serves as the independent variable
y functions as the dependent variable
the value of y relies on x
a) What is the independent variable value that makes the function result in −6
y=0.3x−6
-6 = 0.3x-6
0=0.3x
x = 0
Hence, when the independent variable is 0, the function yields -6.
b) What is the independent variable value for which the function equals −3
y=0.3x−6
-3 = 0.3x-6
0.3x = -3+6
0.3x = 3
x = 3/0.3
x = 10
Thus, if the independent variable is 10, the function will give -3.
c) What independent variable value results in a function of 0.
y=0.3x−6
0=0.3x-6
6 = 0.3x
x = 6/0.3
x = 20
Therefore, for an independent variable of 20, the function results in 0.
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:
The correct response is D; we can treat the survey as one involving a single variable, responding with either "yes, I attended more than 4 games" or "no." Given the random survey of 10 students meets the randomization criterion and that their responses are independent, options B and C can be dismissed. However, since only 10 students were surveyed, the confidence interval will not be narrow. As per Statistical Solutions, a minimum of 10 subjects per variable is essential for regression analysis. If the query concerns the number of games each student attended, the potential variables increase; conversely, if it solely asks, “Did you attend more than 4 games?”, then we only consider a single variable, making 10 students sufficient.
It's from Dublin to San Juan
The departure is scheduled for Friday at 1:30 PM (Dublin Time) ==> Time in San Juan is 9:30 (-4 Hours)
Travel duration is 16 Hrs (Dublin arrives on Saturday at 6:30PM) and reaching San Juan on Saturday at 9:30 +16;30 means it's 2 AM (26-24)
