HW Score: \( 6.25 \%, 2 \) of 32 points Determine whether the ordered pairs \( (4,14) \) and \( (-1,-9) \) are solutions of the following equation. \( \quad y=5 x-6 \)

Find the quotient using long division, \[ \frac{2 x^{3}+5 x^{2}-21 x+2}{x-2} \]

h) Find the equation of the line that is perpendicular to the line \( -2 x+5 y=10 \) and passes through the point \( (2,3) \). Write answer in slope-intercept form.

17. Hassan sells fruit and vegetables at the market. (a) The mass of fruit and vegetables he sells is in the ratio fruit:vegetables \( =5: 7 \). Hassan sells 1.33 tonnes of vegetables. How many kilograms of fruit does he sell? (b) The amount of money Hassan receives from selling fruit and vegetables is in the ratio fruit: vegetables \( =9: 8 \). Hassan receives a total of \( \$ 765 \) from selling fruit and vegetables. Calculate how much Hassan receives from selling fruit. (c) Calculate the average price of Hassan's fruit, in dollars per kilogr: (d) i) Hassan sells oranges for \( \$ 0.35 \) per kilogram. He reduces this price by \( 40 \% \) ii) The price of \( \$ 0.35 \) per kilogram of oranges is an increase of \( 25 \% \) on the previous day's price. Calculate the previous day's price.

Solve for x . Be sure to reduce your answer. Check your solution. \( \frac{1}{5} \mathrm{x}=4 \) \( \mathrm{x}=\square \)

Use properties of logarithms to find the exact value of the expression. Do not use a calculator. \( \log _{6} 48-\log _{6} 8 \) \( \log _{6} 48-\log _{6} 8=\square \) (Type an integer or a simplified fraction.)