Answer:
what are the equations to the math on this?
1. a = 1/2x - 3
2. a = 2x + 7
let
r--------> Alvin's average paddling rate in km/hour
y -------> speed of the current
in km/hour
we know that
speed= distance/time
------> solve for distance
distance=speed*time
to Campsite against the current
speed=r-y-----> speed=(r-3)
time=8 hours
distance=(r-3)*8------> equation 2
From Campsite with the current
speed=r+y-----> speed=(r+3)
time=3 hours
distance=(r+3)*3------> equation 1
equate equation 1 and equation 2-----> because is the same distance
(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour
therefore
the answer is
Alvin's average paddling rate is 6.6 km/hour
In 4 years, Ms. Squires has experienced three regular years, and one leap year.
Regular year - 365 days
Leap year - 366 days.
(365*3)+366=1461
1461 days is the correct answer.
Answer:
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)
Step-by-step explanation:
we have the function

where
m(x) is the number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes)
x is the rainfall (in centimeters)
This is a vertical parabola open downward
The vertex represent a maximum
The x-coordinate of the vertex represent the centimeters of rain that will produce the maximum number of mosquitoes
so
Convert the quadratic equation into vertex form

Factor -1

Complete the square


Rewrite as perfect squares

The vertex is the point (7,49)
therefore
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)