lena is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices.
company a charges
$115
and allows unlimited mileage.
company b has an initial fee of
$55
and charges an additional
$0.80
for every mile driven.
for what mileages will company a charge less than company b?
use
m
for the number of miles driven, and solve your inequality for
m
.

Cost of Company A: 114
Cost of Company B: 55 + 0.8m
Mileage where A is less than B:
114 < 55 + 0.8m
59 < 0.8m
m > 73.75 miles

Company A: 115.00 initial, 0.00 per mile
Company B: 55.00 initial, 0.80 per mile
Set the thing you want to be less than (Company A) less than the other (Company B).
115 < 55 + .8m (solve for m.)
60 < .8m
75 < m
Company A will charge less than Company B when the number of miles is greater than 75. (The charge will be equal at 75 miles.)

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