Answer:
Step-by-step explanation:
James: 4 and 1/5 hours = 4.2 hours = 252 minutes
Bob: 2 and 1/4 hours = 2.25 hours = 135 minutes
252 - 135 = 116 minutes
answers (use whichever form you need)
1 hour and 56 minutes
116 minutes
1 and 14/15 hours
Answer:
71.42
Step-by-step explanation:
Percentage change:×100%
Now, the change is given from 42 acres to 72 acres, therefore
Change= 72-42=30
⇒Percentage change= ×100%
= 71.42
Using it's concept, the range of the given exponential function is:
C. 0 < y ≤ 46638.
<h3>What is the range of a function?</h3>
The range of a function is the set that contains all possible output values for the function.
In this problem, the function is:
y = 46,638(0.78)^x.
It is an exponential function with initial value 46,638 and rate of change 0.78. Exponential functions that are not shifted down, such as this one, are never negative nor zero, hence the range also has the restriction y > 0, and is given by:
C. 0 < y ≤ 46638.
More can be learned about the range of a function at brainly.com/question/28388172
#SPJ1
Answer:
B. (-0.73, 0), (2.73, 0)
Step-by-step explanation:
vertex form of a parabola
y = a(x-h)^2 +k
y = a(x-1)^2 -9
substitute the point in to find a
-6 = a (0-1) ^2 -9
-6 = a *1 -9
add 9 to each side
-6+9 = a -9+9
3 =a
y = 3(x-1)^2 -9
FOIL
y = 3(x-1)(x-1) -9
y = 3(x^2-2x+1) -9
distribute
y = 3x^2-6x+3-9
combine like terms
y = 3x^2 -6x -6
factor out 3
y= 3(x^2 - 2x -2)
set = 0
0 = 3(x^2 - 2x -2)
x^2 - 2x -2 =0
using the quadratic formula
-b±sqrt(b^2 -4ac)
----------------------
2a
-(-2) ± sqrt(2^2 - 4(1)(-2))
-------------------------------
2(1)
2 ± sqrt(4+8)
------------------
2
2±sqrt(12)
---------------
2
2±2sqrt(3)
----------------
2
1±sqrt(3)
roots: 2.73, and -.73
