What is the inverse operation of division?
2 answers:
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Suppose for the moment that the inequality holds for all :
Expanding everything gives
In particular, the inequality says that for any choice of
. But if
and
, then
while
.
So one possible choice of could be
and
. Then we get
but clearly it's not true that .
Answer:
Part a) Exactly values
The width of the rectangle is
The length of the rectangle is
Part b) Approximately values
The width of the rectangle is
The length of the rectangle is
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of rectangle is equal to
we have
substitute the values in the formula
so
Solve for x
Divide by 4 both sides
square root both sides
The solution is the positive value
therefore
<em>Exactly values</em>
<em>Approximately values</em>
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
