A nursery sells small, potted cacti for $4 each and usually sells 20 cacti per week. For every one-dollar increase in price per cactus, the nursery sells three less cacti per week. The functions shown represent the price increase and
the number of cacti sold, respectively.
f() = 4 + xg(x) = 20 - 32
What is f(x) g(), the expression representing the revenue earned from selling cacti for one week?
-2.1 + 24
O 40 - 16
-3.2 + 8x + 80
O 3.0? + 32x + 80

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Jim has run 5/6 of a mile so far. i hope that answers your question! good luck : )