Find the value of 2−3x when x=7. The expression 2−3x is a polynomial. The term 3x contains a variable and a coefficient. The term 2 is a constant. Substitute x=7 to get 2−3(7)=2−21=−19.
Write the fraction representing the part-to-whole relationship of patients seeing the physical therapist each week. Reduce the answer to lowest form. 3212
Evaluate the linear function g(t)=3t+5 for various inputs. Create a table and graph the function.
a) Find g(0),g(3),g(1)−g(0),g(2)−g(1),g(1001)−g(1000),g(a+1)−g(a).
Solve the polynomial equation by factoring and then find the solution set. x3+8x2=40x+08. Select the correct choice: A. The solution set is ( ) or B. There is no solution.
Find the displacement of a mass suspended on a spring, with velocity v(t)=7sin(t)+7cos(t), between t=3 and t=8 seconds. Give the answer to at least three decimal places.
Chemical engineer must report the average volume of a pollutant produced by plants. Data: Platte 2.772 L, Macon 48.58 L, South Fork 2.36 L. What average volume should be reported with correct significant digits?
1. Find f(−2) where f(x)=−2x2−4x. 2. Graph y=21(x−4)2+2 and convert to standard form. 3. Factor x2−8x+15 and 2x2+7x−15. 4. Solve 2x2+8x−15=0 using the quadratic formula. 5. Find the function, in factored form, for a parabola with x-intercepts of -5 and 7, passing through (6,33).
Which measure of central tendency is most affected by the extreme value in the given half marathon pace data? {6.7,7.1,7.5,7.6,3.3,7.4,7.2,7.4,7.1,7.4,6.8,6.9,7.3}
Donna swam 13 of 26 laps. What fraction of the swim has she completed? What fraction remains? Rewritten problem statement: Donna swam 13/26 of her swim. What fraction of the swim has she completed? What fraction remains?
Rewrite the problem statement to find the intervals defined by the real solutions of x2−7x+10=0 on the number line. The points at 2 and 5 divide the number line into three intervals.
12. Find another point on a line with slope −32 and point A at (−1,−5). 13. A ladder leans against a wall. Its base is 1.5m from the wall, and its top touches the wall 4m above the ground. Find the ladder's slope.
(a) A potter bought clay, used 1/5 for mugs, 5/8 for teapots, and 7/12 of the remainder for bowls. He had 55 oz left. How many oz of clay did he buy?
(b) How many oz of clay was used on each set of items?
Find the 43rd and 53rd percentiles of the ages of 29 Academy Award winning best actors, given in ascending order: 24,27,27,30,30,36,37,37,37,39,42,45,46,47,48,49,50,51,51,56,61,63,64,69,70,71,77,78,78.