Using the matrix method, solve the following simultaneous equations 3x + 2y = 10 3x – 2y = 14
answer all these questions please:
1.) Using the matrix method, solve the following simultaneous equations
3x + 2y = 10
3x – 2y = 14
2.)
Given that f(x) = 3x + 2 g(x) = 4 – x and h(x) = 2x - 7
2
Find:- i) f(-4) = ii) g[h(5)] =. iii) f[g(8)] =
iv) hᴏf(x) v) g-1(0) =
3) . a) Two numbers, when multiplied, equal 54.
If the difference of the two numbers is three and x represents the smaller number
i) Represent the information given in equation form
ii) Express as a
iii) Solve the quadratic equation to find possible values for x
iv) If told that x is a positive number, what are the values of the two original numbers?
4) Find the equation of the line joining the points (4, -3) and (-2, 7).
5) Find the equation of the line passing through the point (2,
-7) and perpendicular to the line 3y = 8 – 2x
6) Give Log 2 = 0.301, log 3 = 0.477 and log 5 = 0.699 using the information given find
a) Log 60 b) Log 1.5
7.) Given the functions g(x) = 5x - 3 find g-1(x)
x – 3
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