Answer:
16
Step-by-step explanation:
a = age

- you will multiply by 8 now

- now move a's with a's and the numbers that don't have a variable with each other

- now subtract

- I hope it helps you!
Answer: 
Step-by-step explanation:
Slope of two lines that are perpendicular to each other is 1.
If one line is
, then its slope = 3 [by comparing to the linear equation y= mx+c, here m=3]
Let n be the slope of the required line, then

Equation of line with slope n and passers through (a,b) is

Equation of line with slope n=
and passes through point ( 0,-4) :

Hence, Required equation : 
Answer:
a) The demand function is

b) The nightly revenue is

c) The profit function is

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Step-by-step explanation:
a) Lets find the slope s of the demand:

Since the demand takes the value 79 in 7, then

b) The nightly revenue can be found by multiplying q by p

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Answer:
Check it below, please
Step-by-step explanation:
Hi there!
Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.
Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.
Statement Reason
Given
Isosceles Triangle the altitude, the bisector coincide.
Bisector equally divide a line segment into two congruent
Right angles, perpendicular lines.
Perpendicular Line segment
Answer:
471
Step-by-step explanation:
do to the number in the tenths place not being higher than 5 all number past the decimal become zero and the whole number stay the same