A company sells widgets. The amount of profit, y , made by the company, is related to the selling price of each widget, x , by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. \[ y=-13 x^{2}+553 x-3136 \]

What significant change marked the transition from nomadic to settled lifestyles in early human history? forming large hunting parties establishing trade routes puilding permanent shelters

2. Lors d'essais, un TGV a parcouru 160 km en 24 minutes. Quelle est sa vitesse moyenne sur ce trajet?

Solve the inequality. Write the solution set in interval notation. \( 4(x+2)+4 \geq 5+4 x \)

Line \( s \) has an equation of \( y=-\frac{7}{4} x+2 \). Line \( t \) is parallel to line \( s \) and passes through \( (6,-7) \). What is the slope of the line \( t \) ? What is the \( y \)-intercept of line \( t \) ? What is the equation of line \( t \) ?

xercice \( 3:(1 p t) \) \( a \) et \( b \) deux nombres rationnels non nuls. Calculer l'expression \( I=\left(b-\frac{5}{7}\right)-\left(\frac{12}{21}-a\right) \) sachant que \( a+b=-\frac{5}{7} \)