The total area should be 808 square feet
One hose can fill the pond in 30 minutes, which means every minute it fills 1/30 of the pond.
the second hose can fill the pond in x minutes, which means every minute it fills 1/x portion of the pond.
together it fills the WHOLE pond in 21 minutes: 21/30 +21/x=1
21/x=1- 21/30=9/30=3/10
x=70
Answer:
2 (n + 2) = 2n + 4
n + n + n + n = 4n
2 (3n) = 6n
4n + n = 5n
Step-by-step explanation:
f(x) has vertex = (- 1, - 5 ) and is a minimum
g(x) has vertex = (2, 3 ) and is a maximum
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x + 1)² - 5 is in this form with vertex = (- 1, - 5 ) and minimum
to determine if maximum/ minimum
• if a > 0 then minimum
• if a < 0 then maximum
g(x) = - (x - 2)² + 3 is also in vertex form with a < 0
vertex = (2, 3 ) and is a maximum
