X^2 - x - 90 =0
This quadratic equation is in the standard format ax^2+ bx + c
The total of the solutions can be found using -b/a (where a and b are the coefficients from the original equation, not the solutions)
The resulting answer is 1/1 = 1
1. "The limit on John's credit card is defined by the function f(x)=15,000+1.5x," indicating that if John's monthly income is $5,000, he can spend a maximum of f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22,500 (dollars). As another example, if John's monthly income is $8,000, then he can spend up to f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars). 2. If we consider the maximum amount John can spend as y, it can be represented as y=15,000+1.5x. To express x, the monthly income, in terms of y, we rearrange this equation: y=15,000+1.5x results in 1.5x = y-15,000. Therefore, in functional notation, x is a function, referred to as g, based upon y, the maximum sum. Generally, we denote the variable of a function by x, so we redefine g as: This tells us that if the maximum amount that John can spend is $50,000, then his monthly income would be $23,333. 3. If John's limit is $60,000, his monthly income equals $30,000. Note: g is deemed as the inverse function of f because it reverses the actions of f.
Response:
e. 545
Detailed explanation:
In a survey sample containing n individuals, with a success probability of 
, and a confidence level of 
, the ensuing confidence interval for proportions is established.
Wherein
z denotes the z-score corresponding to a probability value of 
.
For this scenario, we find:
The estimate averages the two bounds. Thus 
95% confidence level
Consequently, z represents the z value corresponding to the p-value of 
, hence 
.
The lower boundary of this interval is:
In this query, L = 0.82. Therefore
Thus, the accurate response is:
e. 545
Mr. Rowley
16:14
Ms. Rivera
64:60
Upon simplifying 64:60, it becomes 16:15.
64/4 = 16
60/4 = 15
They are not equivalent since Ms. Rivera holds 1 more exit ticket than Mr. Rowley.
