Questions in mathematics

Questions in mathematics

📝 Answered - Solve the linear equation: [tex]$3.4+2(9.7-4.8 x)=61.2$ What are the possible steps involved in solving this equation? Check all that apply. A. Add 3.4 and 2. B. Distribute 2 to 9.7 and [tex]$-4.8 x$. C. Combine 3.4 and 19.4. D. Divide both sides by 22.8. E. Subtract 22.8 from both sides. F. Divide both sides by -9.6.

📝 Answered - Jason kept track of the number of songs he downloaded each week for 10 consecutive weeks. This function models the number of songs he downloaded, where $x$ is the number of weeks: [tex]N(x)=-3(x-4)^2+60[/tex] Plot the axis of symmetry and the vertex for this function.

📝 Answered - Complete the following multiplication and division calculations involving fractions (show all the steps). 4.1.1. [tex]$\frac{4}{6} \div \frac{3}{12}$[/tex] 4.1.2. [tex]$\frac{7}{9} \times \frac{4}{28}$[/tex] 4.1.3. [tex]$4 \frac{1}{6} \times 6 \frac{2}{5}$[/tex] 4.1.4. [tex]$\frac{3}{17}+6$[/tex]

📝 Answered - Find the difference of the place values of two sevens in $37,29,218$

📝 Answered - Select the correct answer from each drop-down menu. Consider function [tex]$f$[/tex], where [tex]$B$[/tex] is a real number. [tex]$f(x)=\tan (B x)$[/tex] Complete the statement describing the transformations to function [tex]$f$[/tex] as the value of [tex]$B$[/tex] is changed. As the value of [tex]$B$[/tex] increases, the period of the function [ ] and the frequency of the function [ ]. When the value of [tex]$B$[/tex] is negative, the graph of the function [ ] [ ].

📝 Answered - Simplify: $21 \sqrt{3}+19 \sqrt{5}+8 \sqrt{3}+12 \sqrt{5}$ A. $8 \sqrt{3}+31 \sqrt{5}$ B. $29 \sqrt{3}+31 \sqrt{5}$ C. $29 \sqrt{5}+31 \sqrt{3}$ D. $29 \sqrt{3}-31 \sqrt{5}$

📝 Answered - Decide which is the correct factored form of the polynomial [tex]$6 y^2+41 y-56$[/tex]. Choose the correct factored form. A. [tex]$(2 y+8)(3 y-7)$[/tex]

📝 Answered - $\left(-3 x^2\right) \times 4 x \times(-x)$

📝 Answered - The hypotenuse of a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle measures 4 cm. What is the length of one leg of the triangle? A. 2 cm B. $2 \sqrt{2} cm$ C. 4 cm D. $4 \sqrt{2} cm$

📝 Answered - A math student has a plan to solve the following system by the elimination method. To eliminate the $x$-terms, he wants to multiply the top equation by 7. What should he multiply the second equation by so that when he adds the equations, the $x$ terms are eliminated? [tex] \begin{array}{l} -3 x-7 y=-56 \\ -7 x+10 y=1 \end{array} [/tex]