Questions in mathematics

Questions in mathematics

📝 Answered - Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz box costs $3.50, while the 16 oz box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. [tex]\begin{array}{l} x+y=24 \\ 3.50 x+5.00 y=97.50 \end{array}[/tex] Solve the system of equations. How many 10 oz boxes were sold?

📝 Answered - A hyperbola centered at the origin has a vertex at $(0,-40)$ and a focus at $(0,41)$. \begin{tabular}{|l|l|} \hline Vertices: (-a,0), (a,0) & Vertices: ( $0,-a),(0, a)$ \\ \hline Foci: (-c,0),(c,0) & Focii $(0,-c),(0, c)$ \\ \hline Asymptotes: $y= \pm \frac{b}{a} x$ & Asymptotes: $y= \pm \frac{a}{b} x$ \\ \hline Directrices: $x= \pm \frac{a^2}{c}$ & Directrices: $y= \pm \frac{a^2}{c}$ \\ \hline Standard Equation: $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ & Standard Equation: $\frac{y^2}{a^2}-\frac{x^2}{b^2}=1$ \\ \hline \end{tabular} Which are the equations of the asymptotes?

📝 Answered - A line has a $y$-intercept of -1 and is parallel to the line passing through $(2,3)$ and $(4,7)$. Write its equation in slope-intercept form.

📝 Answered - Find the rational zeros of the polynomial function and write in factored form. f(x) = x^3 + 2x^2 - 7x - 24 A. f(x) = (x-3)(x^2 + 8x + 5) B. f(x) = (x-3)(x^2 + 5x + 8) C. f(x) = (x+3)(x+5)(x+8) D. f(x) = (x+3)(x-5)(x-8)

📝 Answered - 3. If LIGHT:L9I6G5H8T0::WHIT:? a. W7H4I6T2 b. W3H8I6T0 c. W5H4I9T6 d. WIH8I9T4

📝 Answered - Simplify $\left(\frac{16}{81}\right)^{-\frac{3}{4}}$

📝 Answered - Which statement is true about the circumference of a circle? A. The circumference is equal to the radius of the circle. B. The circumference is equal to the diameter of the circle. C. The circumference is found by multiplying by the radius. D. The circumference is found by multiplying by the diameter.

📝 Answered - If you determine that the x value of a system of linear equations is 1, what should you do next? A. You can stop because you know there is no solution. B. Substitute 1 for y in one of the equations, and solve for x. C. Substitute 1 for x in one of the equations, and solve for y. D. You can stop because you know that there is an infinite number of solutions.

📝 Answered - Select the correct answer. Henry used these steps to solve an equation: Step 1: [tex]$-3(x+2)=5(x-7)$[/tex] Step 2: [tex]$\quad-3 x-6=5 x-35$[/tex] Step 3: [tex]$\quad-8 x-6=-35$[/tex] Step 4 : [tex]$-8 x=-29$[/tex] Step 5 : [tex]$\quad x=\frac{29}{8}$[/tex] Between which two steps did Henry apply the distributive property? A. steps 1 and 2 B. steps 2 and 3 C. steps 3 and 4 D. steps 4 and 5

📝 Answered - Solve $2 x^2-3 x=12$ using the quadratic formula. A) $x=\frac{3}{4}+\frac{\sqrt{87}}{4}, x=\frac{3}{4}-\frac{\sqrt{87}}{4}$ B) $x=\frac{3}{4}+\frac{\sqrt{87}}{4} i, x=\frac{3}{4}-\frac{\sqrt{87}}{4} i$ C) $x=\frac{3}{4}+\frac{\sqrt{105}}{4}, x=\frac{3}{4}-\frac{\sqrt{105}}{4}$ D) $x=\frac{3}{4}+\frac{\sqrt{105}}{4} i, x=\frac{3}{4}-\frac{\sqrt{105}}{4} i$