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which of the following systems of inequalities has point b as a solution?

two linear functions f of x equals 3 times x plus 4 and g of x equals negative one half times x minus 5 intersecting at one point, forming an x on the page. a point above the intersection is labeled a. a point to the left of the intersection is labeled b. a point below the intersection is labeled c. a point to the right of the intersections is labeled d.

a) f(x) ≤ 3x + 4
g of x is less than or equal to negative one half times x minus 5

b) f(x) ≥ 3x + 4
g of x is less than or equal to negative one half times x minus 5

c) f(x) ≤ 3x + 4
g of x is greater than or equal to negative one half times x minus 5

d) f(x) ≥ 3x + 4
g of x is greater than or equal to negative one half times x minus 5

Solve each quadratic equation by factoring and using the zero product property. n^2 - 49 = 0

Which will form a composite function?

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)