Advanced Math

Chief Editor

Mar 23, 2024

Take all 3 MCQs in interactive quiz mode with timer and progress tracking

$5x^{2}-37x-24=0$What is the positive solution to the given equation?

Difficulty: Medium

\frac{3}{5}

$3$

$8$

$37$

The expression $4x^{2}+bx-45$, where $b$ is a constant, can be rewritten as $(hx+k)(x+j)$, where $h$, $k$, and $j$ are integer constants. Which of the following must be an integer?

Difficulty: Hard

\frac{b}{h}

\frac{b}{k}

\frac{45}{h}

\frac{45}{k}

$$y=0.25x^{2}-7.5x+90.25$$The equation gives the estimated stock price $y$ in dollars, for a certain company $x$ days after a new product is launched, where $0\leq x\leq 20$. Which statement is the best interpretation of $(x,y)=(1,83)$ in this context?

Difficulty: Medium

The company's estimated stock price increased $83 every day after the new product launched.

The company's estimated stock price increased $1 every 83 days after the new product launched.

1 day after the new product launched, the company's estimated stock price is $83.

83 days after the new product launched, the company's estimated stock price is $1.