Answer:
y = (5/4)2^x
Step-by-step explanation:
The function value increases by a factor of 40/10 = 4 when x increases by 2. The function can be written as ...
y = (reference value)·(growth factor)^((x -reference)/(change in x for growth factor))
y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference
This can be simplified to ...
y = 10·2^(x -3) = 10/8·2^x
y = (5/4)2^x
Answer:
$35.50
Step-by-step explanation:
55.50-48= 7.5
2008-2005 = 3
7.5 divided by 3 = 2.5 per year
2005-2000 = 5 multipled by 2.5 = 12.5
48-12.5=35.5
Answer:
-44
Step-by-step explanation:
Answer:
1) d. 2400
2) d.4200
Step-by-step explanation:
As per given data:
F(x) represents number of fish
x represents number of weeks
Relation between F(x) and x is given as
F(x)= 500 (1.2)x
Now part 1:
How many fish are in the pond after 4 weeks=?
x=4
Putting in given equation F(x)= 500 (1.2)x
F(x)= 500(1.2)(4)
= 2400
Now part 2:
How many fish are in the pond after 7 weeks?
x=7
Putting in given equation F(x)= 500 (1.2)x
F(x)= 500(1.2)(7)
= 4200 !
Step-by-step explanation:
there is no real number solution for the square root of a negative number.
a sqare root multiplied by itself had to deliver exactly the number inside the square root.
so for sqrt(-49), what can be the answer ?
which number multiplied by itself gives -49 ?
it any negative number at that.
because
a × a = a²
and
-a × -a = a² but definitely not -a².
we get a negative number only, when we multiply a positive number with a negative number or vice versa.
the only solution is complex or imaginary (based on the imaginary number i):
i² = -1
i = sqrt(-1)
so, sqrt(-49) = sqrt(49 × -1) = 7×sqrt(-1) = 7i
but again, no real solution.
