Find an equation of the line that has the given slope and contains the given point. If possible, write your equation in slope-intercept form.m = 0; (-8, 8)
A. y = -8
B. y = 8
C. x = 8
D. x = -8
Answer: B
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Approximate the area under the curve and above the x-axis using n rectangles. Let the height of each rectangle be given by the value of the function at the right side of the rectangle.y = 2x3 - 1 from x = 1 to x = 6; n = 5
A. 825 B. 875 C. 800 D. 850
Find the probability.Each person in a group of students was identified by his or her hair color and then asked whether he or she preferred taking classes in the morning, afternoon, or evening. The results are shown in the table below. Find the probability that a student preferred morning classes given that he or she has blonde hair.Hair ColorClass Time PreferenceBlondeBrunetteReheadMorning452510Afternoon401550Evening352030
Fill in the blank(s) with the appropriate word(s).
Answer the question or provide the appropriate response.Which of the following graphical methods may be used to find two positive numbers whose sum is 12 and whose product is 32? (More than one method may be correct.)(i) Graph the function y = x2 - 12x + 32 and find its x-intercepts.(ii) Graph the functions y1 = -x2 + 12x and y2 = 32. Find the intersection points of these two graphs.(iii) Graph the function y = x2 - 12x + 32 and find the coordinates of the vertex.
A. (i) only B. (i), (ii) C. (iii) only D. (i), (ii), (iii)
Solve the problem.The temperature in Fairbanks is approximated by T(x) = 37 sin 
+ 25,where T(x) is the temperature on day x, with x = 1 corresponding to 
and x = 365 corresponding to Dec. 31. Estimate the temperature on day 31.
A. -10° B. 21° C. -35° D. -25°