Questions in mathematics

Questions in mathematics

[Done] Factor completely the expression: \[ 2x^3 - 2x^2 - 12x \]

[Done] JoAnn works in the publicity office at the state university. She is paid $10 an hour for the first 35 hours she works each week and $15 an hour for every hour after that. If she makes $455 one week, how many hours did she work?

[Done] What is the product of \((x+1)\) and \((2x^2+3x-1)\)?

[Done] A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after [tex]t[/tex] years can be modeled by the equation [tex]P(t) = 2000(1.05)^t[/tex]. What is the average rate of change in the number of mice between the second year and the fifth year, rounded to the nearest whole number?

[Done] If [tex]f(x) = |3x - 4| + 2[/tex], find [tex]f(-10)[/tex].

[Done] Which inequality is equivalent to [tex]7x - 2y > 8[/tex]? A) [tex]y > \frac{7}{2}x + 8[/tex] B) [tex]y > -\frac{2}{7}x + \frac{8}{7}[/tex] C) [tex]y < \frac{7}{2}x - 4[/tex] D) [tex]y < -\frac{2}{7}x - \frac{4}{7}[/tex]

[Done] Using the equation [tex]y = ax^2 + bx + c[/tex] to represent a parabola on a graph, which statement is true? 1. If [tex]b[/tex] is negative, the parabola opens downward. 2. If [tex]a[/tex] is negative, the parabola opens upward. 3. If [tex]a[/tex] is positive, the parabola opens upward. 4. If [tex]c[/tex] is negative, the parabola opens downward.

[Done] What is the value of \( x \) in \( 15x - 10 = 20 \)?

[Done] 1,352 pounds is what fraction short of a ton? A) \(\frac{169}{250}\) B) \(\frac{77}{100}\) C) \(\frac{13}{20}\) D) \(\frac{140}{223}\)

[Done] Which of the following is equivalent to \(3a + 4b - (-6a - 3b)\)? A. \(16ab\) B. \(-3a + b\) C. \(-3a + 7b\) D. \(9a + b\) E. \(9a + 7b\)