Richard is designing a new website for students to create study groups and collaborate with other students. the site will launch with five study groups, each with its creator as its only member, and richard anticipates that two study groups will be added every month. he also estimates that seven new members will be added to each study group every month. the estimate for the total number of group members is given by the polynomial expression below, where x is the number of months since the site's launch. use the information given to determine how best to complete the following sentences. the constant of the polynomial expression represents the the binomial (1 + 7x) is a factor of the polynomial expression and represents the

The constant of the polynomial expression represents the y intercept. the binomial (1 + 7x) is a factor of the polynomial expression and represents the value of x.

< i think this is the answer unless i did my math wrong

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