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Questions in mathematics

📝 Answered - \begin{aligned} y & =6 x-9 \\ 2 x-6 y & =-48\end{aligned}

📝 Answered - Which represents a perfect cube? [tex]$8 \cdot 8 \cdot 8$[/tex] [tex]$8+8+8$[/tex] [tex]$9 \cdot 9 \cdot 9 \cdot 9$[/tex] [tex]$9+9+9+9+9$[/tex]

📝 Answered - Solve [tex]C=2 \pi r[/tex] for [tex]r[/tex]. A. [tex]r=\frac{C \pi}{2}[/tex] B. [tex]r=\frac{C}{2 \pi}[/tex] C. [tex]r=2 \pi r[/tex] D. [tex]r=\frac{2 C}{\pi}[/tex]

📝 Answered - What is the inverse of the function [tex]f(x)=\frac{1}{4} x-12[/tex]? A. [tex]h(x)=48 x-4[/tex] B. [tex]h(x)=48 x+4[/tex] C. [tex]h(x)=4 x-48[/tex] D. [tex]h(x)=4 x+48[/tex]

📝 Answered - 5. If [tex]$\alpha$[/tex] and [tex]$\beta$[/tex] are roots of the quadratic equation [tex]$5 x^2-3 x-1=0$[/tex], find a quadratic equation with integral coefficients which have roots: (i) [tex]$\frac{1}{\alpha^2}$[/tex] and [tex]$\frac{1}{\beta^2}$[/tex] (ii) [tex]$\frac{\alpha^2}{\beta}$[/tex] and [tex]$\frac{\beta^2}{\alpha}$[/tex]

📝 Answered - For [tex]f(x)=4 x+1[/tex] and [tex]g(x)=x^2-5[/tex], find [tex](f+g)(x)[/tex] A. [tex]4 x^3-4[/tex] B. [tex]x^2+4 x+6[/tex] C. [tex]4 x^2-19[/tex] D. [tex]x^2+4 x-4[/tex]

📝 Answered - Which ordered pair makes both inequalities true? [tex] \begin{array}{l} y>-3 x+3 \\ y \geq 2 x-2 \end{array} [/tex] A. $(1,0)$ B. $(-1,1)$ C. $(2,2)$ D. $(0,3)$

📝 Answered - A painter uses the expression $35h + 30c$ to determine how much he charges a customer for a job that takes h hours and c cans of paint. His last job required 3 cans of paint and took 15 hours to complete. How much did the painter charge?

📝 Answered - A. Find the sum of each of the following: 1. integers from 1 to 50 2. odd integers from 1 to 100 3. even integers between 1 and 101 4. first 25 terms of the arithmetic sequence [tex]$4,9,14,19,24, \ldots$[/tex] 5. multiples of 3 from 15 to 45 6. numbers between 1 and 81 which are divisible by 4 7. first 20 terms of the arithmetic sequence [tex]$-16,-20,-24, \ldots$[/tex] 8. first 10 terms of the arithmetic sequence [tex]$10.2,12.7,15.2,17.7, \ldots$[/tex] 9. [tex]$1+5+9+\ldots+49+53$[/tex] 10. [tex]$\frac{1}{2}+\frac{3}{2}+\frac{5}{2}+\ldots+\frac{17}{2}+\frac{19}{2}$[/tex]

📝 Answered - A private university charges GHC13,500 tuition, GHC5,400 boarding, GHC350 application, and GHC400 graduation fees per student. What percentage of total per-student revenue falls under "tuition"? Options: 58% 64% 72% 65%