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2. (K/U: 6 marks and T: 6 marks) Solve for x. (a) 2x3 – 3x² – 8x +12<0 o bob UAH (b) log(x + 3) + log(x - 1) – log 21 = 0 (c) 32x+1 < 81
Write a system of inequalities for the graph. → --10-8-6 1-4 -26 21416 8 10 x Sysx - 3 ly> -1x - 6 Syzx-2 Ty> -3x – 6 Sy<- 2 ly < –3x – 6 Sy <x+3 |g > 32 – 6 | Sysx+3 | |g > 2x – 6 ſy<+3 ly< 2x – 6 None of the Above Amy's restaurant has budgeted at most $60 to spend this month on gourmet coffee. All international blends cost $8.50 per package...
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...
Solve: x^2 - 3x < 4
Determine the end behavior of graph -3(x-5)(3x-1)2(x+6)5 the 2 and 5 is exponent
Eliminate the parameter t from the following. z(t) = 2 sint - 6 ly(t) = 3 cost - 6 Preview Eliminate the parameter t from the following. S *(t) = sint - 5 ly(t) = cost + 3 Preview Eliminate the parameter t from the following. { r(t) = 4 + 4 sint y(t) = 2 + 2 cost Preview Eliminate the parameter t from the following. *(t) = 5 tant 1 y(t) = 5 sect Preview Eliminate the parameter...
3. Graph: f (x)=\x2-4 4. Use the calculator to determine: $(x) = 3x² - 12x +4 10 9 A) vertex: 7 5 B) y-int: 2 C) opens: . -10 -10-387-5 -1 0 1 2 3 4 5 6 7 8.9 10
Consider the following discrete-time systems: T[x(n)] = 2x(n) T[x(n)] = 3x(n) + 4 T[x(n)] = x(n) +2x(n − 1) – x(n − 2) Use (2.12) to determine analytically to see whether these systems are time-invariant? Let x1(n) be a uniform distributed random sequence and x2(n) be a Gaussian distributed random sequence with mean 0 and variance 10 over 0 ≤ n ≤ 100. Test time-invariant of 3rd system only. Choose any values for a1 and a2.
6. If 3x – 3 5 f(x) < x2 – 3x + 6 for x 2 0, find lim f(x). X-3
please answer both problems.
3x + 6, if x < 0 5. Sketch the graph of f(x) = { 1 -= x+3, if x > 0 ,-0.2371 6. The number of grams Q of a substance after t hours is given by Q=Qoe How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places.