\[ f(x)=x^{2}-42 x+80 \] The function \( f \) is defined by the given equation. Which of the following equivalent forms of the equation displays the zeros of the function as constants or coefficients? (A) \( f(x)=x^{2}-5 x-37 x+80 \) (B) \( f(x)=(x-2)(x-40) \) (C) \( f(x)=x(x-42)+80 \) (D) \( f(x)=(x-21)^{2}-361 \)

Una montaña rusa tiene 15 carritos para pasajeros. Algunos carritos pueden llevar hasta 4 pasajeros y los otros carritos restantes pueden llevar hasta 6 . El número total máximo de personas que pueden usar el juego en cada vuelta es de 72 . ¿Cuántos carritos de 4 pasajeros hay y cuántos de 6 ?

Cho hàm số \( f x=\left\{\begin{array}{ll}\frac{\sqrt{4 x+1-1}}{a x^{2}+(2 a+1) x 0} & \text { khi } x \neq 0 \\ 3 & k h i \quad x=0\end{array}\right. \). Biết rằng \( a \) là giá trị đề hàm số liên tu \( =0 \), hãy tìm số nghiệm nguyên của bất phương trình \( x^{2}-x+36 a<0 \).

2. (B-2) \( \sqrt{\sqrt[3]{x}}=x^{a} \) bo'lsa, \( a \) ning qiymatini toping. \( \begin{array}{llll}\text { A) } a=\frac{2}{3} & \text { B) } a=\frac{1}{5} & \text { C) } a=\frac{5}{6} & \text { D) } a=\frac{1}{6}\end{array} \)

\( k+9, k-6 \) र 4 एउटा गुणोत्तर अनुक्रमका \( k+9, k-6 \) and 4 are the three terms of a geometric progression (i) \( k \) को मान पत्ता लगाउनुहोस् । (Find the value of \( k \).) (ii) समान अनुपात पत्ता लगाउनुहोस् । (Find the common ratio.) (iii) चौथो पद पत्ता लगाउनुहोस् । (Find the value of fourth term.) odel 3 Problems based on finding the position of a given term i)

Three quantities \( t, x \) and \( y \) are such that \( t \) varies directly as \( x \) and invisely as the square root of \( y \). Find the percentage decrease in \( t \) if \( x \) decreases by \( 44 \% \).