Questions in mathematics

Questions in mathematics

📝 Answered - 1. (a) If [tex]$123_{2 x-2}=313_x$[/tex], find the value of [tex]$x$[/tex]. (b) Express [tex]$2.51 \overline{6}$[/tex] as a mixed fraction.

📝 Answered - What is the volume of a cube with a side length of 3 inches? A. 27 square inches B. 12 cubic inches C. 27 cubic inches D. 12 square inches

📝 Answered - Drag the tiles to the boxes to form correct pairs. Match each operation involving [tex]f(x)[/tex] and [tex]g(x)[/tex] to its answer. [tex]f(x)=1-x^2 \text { and } g(x)=\sqrt{11-4 x}[/tex] [tex]\left(\frac{f}{g}\right)(-1) \quad(g \times f)(2) \quad(g-f)(-1) \quad(g+f)(2)[/tex]

📝 Answered - Which is equivalent to $(4+4^4)$? A. $8$ B. $48$ C. 260

📝 Answered - 2. a) Answer the following questions. [tex]$[1+1]$[/tex] i) Is [tex]$A =\{1,3,5,7,9\}$[/tex] a subset of [tex]$B =\{1,2,3,4,5, \ldots \ldots, 10\}$[/tex]? Give reason. ii) Is [tex]$P =\{1,2,4,5,10,20\}$[/tex] a proper or improper subset of [tex]$Q=\{x: x$[/tex] is a factor of 20[tex]$\}\[/tex]? Give reason. b) Let [tex]$A=\{s, e, t\}$[/tex] is a set of letters of the word 'set' [tex]$[1+1+2]$[/tex] i) Write the cardinal numbers of the set A. ii) Find how many subsets of the set A are possible? iii) Write all possible subsets of the set [tex]$A$[/tex].

📝 Answered - Find Partial $=3 x^2 y^3$

📝 Answered - The Art Club is selling photographs that are printed on canvas to raise money to paint a mural. The cost of printing 3 canvases is $644.25, and for 5 canvases the cost is $653.75. Write an equation in slope-intercept form that represents the total cost, [tex]$T$[/tex], of printing the canvases, [tex]$C$[/tex]. A. [tex]$T=4.75 c+630$[/tex] B. [tex]$T=4.75 c-630$[/tex] C. [tex]$T=630 c+4.75$[/tex] D. [tex]$T=630 c-4.75[/tex]

📝 Answered - Make an accurate drawing of the triangle shown below. You must show all of your construction lines. Measure the size of angle x on your drawing to the nearest degree 4.2, 5.5, 6.7.

📝 Answered - If the equation below is solved by graphing, which statement is true? [tex]$\log (6 x+10)=\log _{\frac{1}{2}} x$[/tex] A. The curves intersect at approximately [tex]$x=0.46$[/tex]. B. The curves intersect at approximately [tex]$x=0.75$[/tex]. C. The curves intersect at approximately [tex]$x=1.11$[/tex]. D. The curves intersect at approximately [tex]$x=3.07$[/tex].

📝 Answered - Which of the following describes the end behavior of [tex]f(x)=\frac{2 x}{3 x^2-3}[/tex]? The graph approaches 0 as [tex]x[/tex] approaches infinity. The graph approaches 0 as [tex]x[/tex] approaches negative infinity. The graph approaches [tex]2 / 3[/tex] as [tex]x[/tex] approaches infinity. The graph approaches -1 as [tex]x[/tex] approaches negative infinity.