Questions in mathematics

Questions in mathematics

📝 Answered - Write 4 examples of each. a) Natural Numbers b) Even numbers c) Odd numbers d) Prime numbers e) Composite numbers f) Square numbers

📝 Answered - Which are the solutions of the quadratic equation? [tex]x^2=9 x+6[/tex] A. [tex]\frac{-9-\sqrt{105}}{2}, \frac{-9+\sqrt{105}}{2}[/tex] B. [tex]\frac{-9-\sqrt{57}}{2}, \frac{-9+\sqrt{57}}{2}[/tex] C. [tex]\frac{9-\sqrt{105}}{2}, \frac{9+\sqrt{105}}{2}[/tex] D. [tex]\frac{9-\sqrt{57}}{2}, \frac{9+\sqrt{57}}{2}[/tex]

📝 Answered - Write the following proportion using colons: 7 is to 21 as 3 is to 9. a) [tex]$7: 21=3: 9$[/tex] b) [tex]$7: 3=21: 9$[/tex] c) [tex]$21: 7=3: 9$[/tex] d) [tex]$7: 21=9: 3$[/tex]

📝 Answered - The universal set, [tex]$U$[/tex], contains 60 elements. If [tex]$X \subset U$[/tex] and [tex]$n(X)=21$[/tex], then what is the value of [tex]$n(X')$[/tex]?

📝 Answered - Find the value of [tex]$c$[/tex] so that [tex]$(x+1)$[/tex] is a factor of the polynomial [tex]$p(x)$[/tex]. [tex]$p(x)=5 x^4+7 x^3-2 x^2-3 x+c$[/tex] [tex]$c=\square$[/tex]

📝 Answered - Which point is a solution to the system of linear equations? [tex] \begin{array}{l} y=-x+3 \ 2 x-y=6 \end{array} [/tex] A. (3,0) B. (3,-1) C. (0,3) D. (-1,3)

📝 Answered - Find the future value for the ordinary annuity with the given payment and interest rate. [tex]PMT = $850; 1.45\% compounded semiannually for 2 years.[/tex] The future value of the ordinary annuity is $ $\square$ . (Do not round until the final answer. Then round to the nearest cent as needed.)

📝 Answered - Which graph shows the solution set of the inequality $2.9(x+8)<26.1$?

📝 Answered - What value of $g$ makes the equation true? $(x+7)(x-4)=x^2+g x-28$

📝 Answered - Evaluate the integral. Give result in exact form. [tex]\int_{\frac{\pi}{2}}^{\frac{5 \pi}{6}}(3 \cos (x)+6) d x[/tex]