Questions in mathematics

Questions in mathematics

📝 Answered - A sporting goods store uses quadratic equations to monitor the daily cost and profit for various items it sells. The store's daily profit, $y$, when soccer balls are sold at $x$ dollars each, is modeled by $y=-6 x^2+100 x-180$. Why is there an interval over which the graph decreases? A. If the store sells more soccer balls, they can decrease the price. B. If the soccer balls are returned for a refund, the store will lose money. C. If the soccer balls are too expensive, fewer will be sold, reducing profit.

📝 Answered - Directions: Solve the puzzle to find the price of each item. Then, fill out the chart and answer the questions. 1. J'siri wants to buy 6 cupcakes with a candle. How much will it cost? 2. Hanna wants to buy two of each treat. She has $50. How much money will she have left? 3. Use the back of this page to design a bakery menu with prices. Make sure to include 10 different items.

📝 Answered - \frac{3 a b^2}{5 x y} \div \frac{12 a b-6 a}{x^2 y+2 x y^2}

📝 Answered - What is the solution of $\sqrt{x-4}+5=2 $?

📝 Answered - The sum of the ages of a father and his son is 50 years. In 5 years, the father will be three times as old as his son. How old is the father now? a) 30 b) 35 c) 40 d) 45

📝 Answered - A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. [tex] \begin{array}{l} x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1 \\ y=\left(\frac{m}{m+n}\right)\left(y_2-y_1\right)+y_1 \end{array} [/tex] What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.

📝 Answered - What is the domain of [tex]f(x)=\frac{3 x}{x-1}[/tex]? A. all real numbers B. all nonzero numbers C. all real numbers except 1 D. all real numbers except 3

📝 Answered - Which is equivalent to [tex]$80^{\frac{1}{4} x}$[/tex]? A. [tex]$\left(\frac{80}{4}\right)^x$[/tex] B. [tex]$\sqrt[4]{80}^x$[/tex] C. [tex]$\sqrt[x]{80^4}$[/tex] D. [tex]$\left(\frac{80}{x}\right)^4$[/tex]

📝 Answered - Select the correct answer. Consider functions [tex]$f$[/tex] and [tex]$g$[/tex]. [tex]$\begin{array}{l} f(x)=4 x^2+3 x \\ g(x)=-4 x-6 \end{array}$[/tex] Which expression is equal to [tex]$f(x) \cdot g(x)$[/tex]? A. [tex]$-16 x^3-36 x^2-18 x$[/tex] B. [tex]$-16 x^3+18 x$[/tex] C. [tex]$-16 x^3-36 x^2+18 x$[/tex] D. [tex]$-16 x^3+12 x^2-18 x$[/tex]

📝 Answered - What is the vertex of the graph of $f(x)=|x+5|-6$?