In Exercises determine whether the given ordered pair is a solution of the system.
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- Make up two polynomial functions, f(x) and g(x). • f(x) should be of degree 3 or higher. g(x) should be of degree 4 or higher. • Find f(3) in each of the three ways: substitution, remainder theorem (synthetic division), and long division. You should get the same answer three times for f(3). Find g(-2) once using your choice of the three methods.arrow_forwardere are many real-world situations that exhibit exponential and logarithmic nctions. • Describe two real world scenarios, one exponential and one logarithmic. Do not identify yet whether your scenarios are logarithmic or exponential.arrow_forwardstacie is a resident at a medical facility you work at. You are asked to chart the amount of solid food that she consumes.For the noon meal today, she ate 1/2 of a 3 ounce serving of meatloaf, 3/4 of her 3 ounce serving of mashed potatoes, and 1/3 of her 2 ounce serving of green beans. Show in decimal form how many ounces of solid food that Stacie consumedarrow_forward
- I've been struggling with this because of how close the numbers are together!! I would really appreciate if someone could help me❤️arrow_forwardMatrix MЄ R4×4, as specified below, is an orthogonal matrix - thus, it fulfills MTM = I. M (ELES),- m2,1. We know also that all the six unknowns mr,c are non-negative with the exception of Your first task is to find the values of all the six unknowns. Think first, which of the mr,c you should find first. Next, consider a vector v = (-6, 0, 0, 8) T. What's the length of v, i.e., |v|? Using M as transformation matrix, map v onto w by w = Mv provide w with its numeric values. What's the length of w, especially when comparing it to the length of v? Finally, consider another vector p = ( 0, 0, 8, 6) T. What's the angle between v (from above) and p? Using M as transformation matrix, map p onto q by q = Mp - provide q with its numeric values. What's the angle between w and q, especially when comparing it to the angle between v and p?arrow_forward7. (a) (i) Express y=-x²-7x-15 in the form y = −(x+p)²+q. (ii) Hence, sketch the graph of y=-x²-7x-15. (b) (i) Express y = x² - 3x + 4 in the form y = (x − p)²+q. (ii) Hence, sketch the graph of y = x² - 3x + 4. 28 CHAPTER 1arrow_forward
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