Monster Energy Drink Glucose - C6H12O6 Glucose is the body’s preferred fuel. Standard energy drinks contain a lot of sugar It’s a carbohydrate and a lot of exercise regimen suggests a good dose of carbohydrates for workouts lasting more than an hour. Caffeine - C8H10N4O2 Caffeine stimulates the central nervous system giving the body a sense of alertness as well as dilates blood vessels. It raises heart rate and blood pressure and dehydrates the body. Guarana Inositol- C6H12O6 Guarana comes
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e. hx=x f. kx=-x-2-4 3. Write the function in vertex form. Then state the vertex. g. fx=x2-6x+17 h. gx=2x2-16x+25 4. Determine the real and complex zeros of the function. i. fx=x3+5x2+x-10 j. gx=x3-9x2+4x-36 5. Perform the indicated operation. k. 3-7i+4+5i l. 3-7i-4+5i m. 3-7i4+5i n. 34+5i 6. Graph the rational functions by finding their intercepts and asymptotes. o. fx=(x+10)(x-2)(x+5)(x+5)(x-7)(x-2)
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Subject –MATHEMATICS (Time – Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent in reading the question paper. The time given at the head of this Paper is the time allowed for writing the answers. Attempt all questions from Section A and any four questions from Section B. All working‚ including rough work‚ must be clearly
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****To factor a polynomial means to write the polynomial as a product of prime polynomials. 1. Find the GCF of each of the terms 2. Factor out the GCF from each of the terms 1. 6a3 + 15a = 2. 32b2 + 12b = 3. 12a5b2 + 16a4b = 4. 9x2 + 18y4 = 5. 7x2 – 15y = 6. y4 – 3y2 – 2y = 7. 2x5 + 3x4 – 4x2 = 8. x2y4 – x2y – 4x2 = 9. a5n + a2n = 10. 3x2y – 9xy + 12y = 11. 25x5 + 30x3 – 15x2 = 12. 20a5b3 + 30a3b2 – 40a2b3 = 13. 4x6 + 16x10 + 64x12 = 14
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f(x) = –x4 – 4 by hand and describe the end behavior. (1 point) The function is quartic so the left and right end will continue in the same direction‚ the lead coefficient is negative so both sides will go down. 3. Graph the function f(x) = –3x3 + 9x2 – 2x + 3 using graphing technology and describe the end behavior. (1 point) The function is cubic so the left and right ends will not continue in the same direction‚ since the first coefficient is negative the left side will go up and the right down
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[pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic][pic] |1. Which expression is not a polynomial? | |(Points : 3) | | [pic] Option A: [pic] | |
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5ab) = (12)2 − (5ab)2 = 144 − 25a2b2 • Square of a Sum of Binomials (x + y)2 = x2 + 2xy + y2‚ we have: 1. (5a + 2b)2 = (5a)2 + 2(5a)(2b) + (2b)2 = 25a2 + 20ab + 4b2 2. (3x + 10y)2 = (3x)2 + (2)(3x)(10y) + (10y)2 = 9x2+ 60xy + 100y2 3. (9z + 3)2 = (9z)2 + 2(9z)(3) + (3)2[Apply pattern.] = 81z2 + 54z + 9[Simplify.] • Square of a Difference of Binomials (x − y)2 = x2 − 2xy + y2‚ we have: 1. (3p − 4q)2 = (3p)2 − (2)(3p)(4q)
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Chapter 11 CONIC SECTION CIRCLE: The equation of a circle with centre at (h‚ k) and radius r is ( ( ) Equation of a circle with centre at origin and radius r is PARABOLA( Symmetric about its axis) Right Equation Axis Figure y=0 Left y= 0 Upward x= 0 ) Downward x= 0 Focus (a‚ 0) (-a‚ 0) Vertex (0‚0) (0‚0) Latus 4a 4a Rectum Directrix x = -a x=a ELLIPSE ( Symmetric about both the axis) Equation Equation of the major axis Length of major axis Length of minor axis Vertices Foci Eccentricity Latus
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CURVE SKETCHING This is a handout that will help you systematically sketch functions on a coordinate plane. This handout also contains definitions of relevant terms needed for curve sketching. Another handout available in the Tutoring Center has 3 sample problems worked out completely. ASYMPTOTES: This handout will discuss three kinds of asymptotes: vertical‚ horizontal‚ and slant. VERTICAL ASYMPTOTES We define the line x = c as a vertical asymptote of the graph of ‚ iff (if and only
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PORTFOLIO PRESENTATION PRINCIPLES OF MANAGEMANT Stage 2 THIS ASSESSMENT IS WORTH 12% OF THE COURSE Student name:Student Number: | | Assessor name: | | Unit/s of competency and performance criteria: | | | | 2.1 | Recruit and induct employees within organisation’s policies‚ practices and procedures | 2.2 | Implement plans for acquisition of physical resources and services within organisation’s policies‚ practices and procedures and in consultation
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