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Questions in mathematics

[Done] Consider the function represented by the equation $y-6 x-9=0$. Which answer shows the equation written in function notation with $x$ as the independent variable? A. $f(x)=6 x+9$ B. $f(x)=\frac{1}{6} x+\frac{3}{2}$ C. $f(y)=6 y+9$ D. $f(y)=\frac{1}{6} y+\frac{3}{2}$

[Done] Vlad spent 20 minutes on his history homework and then completely solved $x$ math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of $y$, the total time that Vlad spent on his homework, and what are the constraints on the values of $x$ and $y$? A. $y=2 x+20 ; x$ is any integer greater than or equal to 0, and $y$ is an integer greater than or equal to 20. B. $y=2 x+20 ; x$ is any real number greater than or equal to 0, and $y$ is any real number greater than or equal to 20. C. $y=20 x+2 ; x$ is any integer greater than or equal to 0, and $y$ is an integer greater than or equal to 20. D. $y=20 x+2 ; x$ is any real number greater than or equal to 0, and $y$ is any real number greater than or equal to 20.

[Done] (b) The scores of nine students in Mathematics and Physics are as follows: Mathematics: $35, 23, 47, 17, 10, 43, 9, 6, 28$ Physics: $30, 33, 45, 23, 8, 49, 12, 4, 31$ Compute the students' ranks in the two subjects and compute Spearman's correlation.

[Done] Read, analyze and solve. 1. How many numbers between 7 and 501 are divisible by 5? 2. How many numbers are divisible by 3 between 100 and 1000? 3. In the sequence 2, 6, 10, ...; find n if the nth term is 102. 4. In the sequence: 10, 7, 4, ...; what term has a value of -296?

[Done] The slope of a line is -3. Find the slope of a line that is perpendicular to this line. A. -3 B. -1/3 C. 1/3

[Done] $f(x)=x^2-8 x-9$ Vertex: $\left(\frac{-b}{2 a}, f\left(\frac{-b}{2 a}\right)\right)$

[Done] Identify the greatest common factor of $36 y^3$ and $18 y^4$.

[Done] A cell phone company charges by the minute (and partial minute) for making phone calls. Arionna's plan includes 300 minutes in the $20 monthly base cost. If she uses more than 300 minutes in a month, there is a $5 overage fee and an additional charge of $0.25 per minute. Which graph represents the monthly cost, $y$, in dollars for making $x$ minutes of calls?

[Done] A. $250 B. $40 C. $25 D. $400 E. None of these $2 \frac{1}{2} \% \text{ of } \square = $10

[Done] Write three ratios that are equivalent to $1: 5$