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e allowed: 2:40 Hours
(Scien
Attempt the following Questions.
SECTION -

{:[" If "A=[[1,1],[1,2]]","B=[[-2,6],[4,7]]" then find "X" when "],[X+4A=7B],[" S. "x:A=[[1,1],[1,2]]","B=[[-2,6],[4,7]]],[X+4A=7B],[(4^(m'')×15^(4m-2m-1)×9^(n-2m))/(10^(2m)×25^(m-2)20 m)]:}
Simplify:

e allowed: 22:4040 Hours\newline(Scien\newlineAttempt the following Questions.\newlineSECTION -\newline If A=[1amp;11amp;2],B=[2amp;64amp;7] then find X when X+4A=7B S. x:A=[1amp;11amp;2],B=[2amp;64amp;7]X+4A=7B4m×154m2m1×9n2m102m×25m220m \begin{array}{l} \text { If } A=\left[\begin{array}{ll} 1 & 1 \\ 1 & 2 \end{array}\right], B=\left[\begin{array}{cc} -2 & 6 \\ 4 & 7 \end{array}\right] \text { then find } X \text { when } \\ X+4 A=7 B \\ \text { S. } x: A=\left[\begin{array}{ll} 1 & 1 \\ 1 & 2 \end{array}\right], B=\left[\begin{array}{cc} -2 & 6 \\ 4 & 7 \end{array}\right] \\ X+4 A=7 B \\ \frac{4^{m \prime \prime} \times 15^{4 m-2 m-1} \times 9^{n-2 m}}{10^{2 m} \times 25^{m-2} 20 m} \\ \end{array} \newlineSimplify:

Full solution

Q. e allowed: 22:4040 Hours\newline(Scien\newlineAttempt the following Questions.\newlineSECTION -\newline If A=[1112],B=[2647] then find X when X+4A=7B S. x:A=[1112],B=[2647]X+4A=7B4m×154m2m1×9n2m102m×25m220m \begin{array}{l} \text { If } A=\left[\begin{array}{ll} 1 & 1 \\ 1 & 2 \end{array}\right], B=\left[\begin{array}{cc} -2 & 6 \\ 4 & 7 \end{array}\right] \text { then find } X \text { when } \\ X+4 A=7 B \\ \text { S. } x: A=\left[\begin{array}{ll} 1 & 1 \\ 1 & 2 \end{array}\right], B=\left[\begin{array}{cc} -2 & 6 \\ 4 & 7 \end{array}\right] \\ X+4 A=7 B \\ \frac{4^{m \prime \prime} \times 15^{4 m-2 m-1} \times 9^{n-2 m}}{10^{2 m} \times 25^{m-2} 20 m} \\ \end{array} \newlineSimplify:
  1. Identify Function Types: Identify the types of functions.\newlinef(x)=8x+3.3f(x) = 8x + 3.3 is a linear function.\newlineg(x)=3.3x5g(x) = 3.3^x - 5 is an exponential function.
  2. Compare Growth Rates: Compare the growth rates of the functions. Exponential functions grow faster than linear functions.
  3. Determine Function Exceedance: Determine which function will exceed the other as xx increases. g(x)=3.3x5g(x) = 3.3^x - 5 will exceed f(x)=8x+3.3f(x) = 8x + 3.3 because it is an exponential function.

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