Questions in mathematics

Questions in mathematics

📝 Answered - The surface area of a table tennis ball is $\frac{1}{\pi} cm^2$. What is its diameter? a) $\frac{7}{22} cm$ b) $\frac{22}{7} cm$ c) 7 cm d) 3 cm

📝 Answered - Estimate the difference of 645 and 273.

📝 Answered - Mr. Walker gave his class the function [tex]f(x)=(x+3)(x+5)[/tex]. Four students made a claim about the [tex]f[/tex]. student's claim is below. Jeremiah: The [tex]y[/tex]-intercept is at [tex](15,0)[/tex]. Lindsay: The [tex]x[/tex]-intercepts are at [tex](-3,0)[/tex] and [tex](5,0)[/tex]. Stephen: The vertex is at [tex](-4,-1)[/tex]. Alexis: The midpoint between the [tex]x[/tex]-intercepts is at [tex](4,0)[/tex]. Which student's claim about the function is correct? The claim by [ ] is correct.

📝 Answered - $5x - 2y = 5$ Step 1 of 2: Determine if the given ordered pair $(-3, \frac{5}{2})$ satisfies the given equation.

📝 Answered - Solve $\sqrt{x+7}-3 \sqrt{2}=1$, leaving your answer in the form $m+n \sqrt{2}$, where $m$ and $n$ are integers.

📝 Answered - Which expression is equivalent to $\sqrt[4]{\frac{16 x^{11} y^8}{81 x^7 y^6}}$ ? Assume $x>0$ and $y=0$. A. $\frac{4 x\left(\sqrt[4]{y^2}\right)}{9}$ B. $\frac{2 x\left(\sqrt{y^2}\right)}{3}$ C. $\frac{4 x^2 y}{9}$ D. $\frac{2 x^2 y}{3}

📝 Answered - Describe how to transform $\left(\sqrt[5]{x^7}\right)^3$ into an expression with a rational exponent. Make sure you respond with complete sentences.

📝 Answered - The solution to the system of equations below is (-2, -1): [tex]\begin{array}{l} 2 x-3 y=-1 \\ 11 x-9 y=-13 \end{array}[/tex] When the first equation is multiplied by -3, the sum of the two equations is equivalent to [tex]$5 x=-10$[/tex]. Which system of equations will also have a solution of (-2, -1)? A. [tex]\begin{array}{r} 5 x=-10 \\ 11 x-9 y=-13 \end{array}[/tex] B. [tex]\begin{array}{c} 2 x+9 y=-1 \\ 11 x-9 y=-13 \end{array}[/tex] C. [tex]\begin{array}{c} -6 x+9 y=-1 \\ 11 x-9 y=-13 \end{array}[/tex]

📝 Answered - What is $56,490,000$ written in scientific notation? A. $56.49 \times 10^6$ B. $5.649 \times 10^{-7}$ C. $5.649 \times 10^8$ D. $5.649 \times 10^7$

📝 Answered - Which function has a vertex at $(2,-9)$? A. $f(x)=-(x-3)^2$ B. $f(x)=(x+8)^2$ C. $f(x)=(x-5)(x+1)$ D. $f(x)=-(x-1)(x-5)$