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Questions in mathematics

[Free] A student states that a triangle can be formed with side lengths 2 in, 3 in, and 6 in. Is the student correct? Why, or why not? A. Yes, because [tex]$2+3\ \textless \ 6$[/tex] B. Yes, because [tex]$6+2\ \textgreater \ 3$[/tex] C. No, because [tex]$2+3\ \textless \ 6$[/tex] D. No, because [tex]$6+2\ \textgreater \ 3$[/tex]

[Free] What are the extremes of the proportion $9.8 / 11.5=4.9 / 5.75$? a) 9.8 and 4.9 b) 11.5 and 4.9 c) 9.8 and 5.75 d) 9.8 and 11.5

[Free] For the pair of functions [tex]f(x)=\frac{5 x+1}{x-7}[/tex] and [tex]g(x)=\frac{6 x}{2 x-5}[/tex] find the following. a. Find the functions [tex]f+g, f-g[/tex], fg, and [tex]\frac{f}{g}[/tex]. b. Determine the domain of the functions [tex]f+g, f-g[/tex], fg, and [tex]\frac{f}{g}[/tex].

[Free] answer this question and calculate the sum of P

[Free] What is the following difference? [tex]$11 \sqrt{45}-4 \sqrt{5}$[/tex] A. [tex]$95 \sqrt{5}$[/tex] B. [tex]$29 \sqrt{5}$[/tex] C. [tex]$14 \sqrt{10}$[/tex] D. [tex]$7 \sqrt{40}$[/tex]

[Free] Solve. [tex]b^2=54-3 b[/tex]

[Free] Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.0 hours. How much faster does Katie ride than Julia? | | Distance (mi) | Rate (mph) | Time (hr) | | :---- | :------------ | :--------- | :-------- | | Julia | 20 | | 1.2 | | Katie | 20 | | 1.0 | A. 4.2 mph B. 8.0 mph C. 12.5 mph D. 15.4 mph

[Free] Find the domain of the function. [tex]f(x)=\frac{\sqrt{x+7}}{-3 x+8}[/tex] Write your answer as an interval or union of intervals.

[Free] The table shows a schedule of Jorge's payment plan for a car. | | Jorge's Payment Plan | | | | :--- | :------------------------------------ | :---------- | :---------- | | Year | Balance | Monthly Payment | End of Year Balance | | 1 | $15,469.80 | $257.83 | | | 2 | | $257.83 | | | 3 | | $257.83 | | | 4 | | $257.83 | | | 5 | | $257.83 | | | 6 | | $257.83 | | How many years will it take Jorge to pay off the loan? A. 3 years B. 4 years C. 5 years

[Free] Area of a square is 4 sq. m more than \(\frac{2}{3}\) of the area of a rectangle. If the area of the square is 64 sq. m, then find the dimensions of the rectangle, given that the breadth is \(\frac{2}{5}\) of the length.