Miss Jones wants to buy at least 10 books. Paperback costs $10, hardcover costs $20. She plans to spend less than $240. Find the system of inequalities and a solution.
There are 15 books on a shelf, 9 new and the rest used. Find the ratio of (a) all books to used books, and (b) used books to new books. (a) Ratio of all books to used books: 15:6
(b) Ratio of used books to new books: 6:9
Find the vertex of the parabolic equation h=−4.9t2+23.4t describing the height of a golf ball in meters, rounding each coordinate to the nearest tenth. The vertex is (□,□).
Write the equation for a square root function that has been vertically stretched by 2, vertically reflected, horizontally reflected and stretched by 31, and translated 2 units down.
Finde die Ableitungsfunktion f′(x) von f(x)=3x2−4x und bestimme f′(5), f′(−2), f′(0), f′(0.5). Finde den Punkt b mit f′(b)=8 und den Punkt, an dem der Graph von f die Steigung 5 hat.
Solve the equation 2cos2(x)+cos(x)−1=0 and express the solution(s) as a comma-separated list in exact form, using symbolic fractions and k for any integer.
Calculate the fraction and percent of black pencils in a pack of 50 pencils, where 7 out of every 10 pencils are black. Fraction of black pencils: 107
Percent of black pencils: 70%
Investigate the relationship between x-intercepts, real zeros, and real solutions of the polynomial function P(x)=x3−2x2−5x+6. The x-intercepts are −2,1,3, the real solutions are −2,1,3, and the zeros are −2,1,3.