Lookover Lane divides two rows of houses. Each house on one side of the lane is directly
opposite a house on the other side of the lane. The houses are numbered consecutively 1, 2, 3,
and so on along one side. Once the end of that side of the lane is reached, the consecutive
numbering continues at the house on the other side of the street opposite house number 1. The
consecutive numbering continues along this second side until the last house is numbered. When
the residents of house number 37 look directly across the lane, they see the house numbered 84.
How many houses are on Lookover Lane?

a

step-by-step explanation:

the answer is 3/2 and for decimal: 1.5

hope i

-lavira: )

0lz try yourself sorry for not answering

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.