Answer:
Option C. The robin flies fastest because its rate is 15 m/s
Step-by-step explanation:
Let
x -----> the time in seconds
y ----> the distance in meters
The speed is equal to divide the distance by the time
In this problem, the slope or unit rate of the linear equation is the same that the speed
<em>Robin's Flight</em>
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
take two points from the table
(2,30) and (3,45)
substitute in the formula

<em>Cardinal's Flight</em>


<em>Blue Jay's Flight</em>
take two points from the graph
(0,0) and (2,20)
substitute in the formula

Compare
The robin flies fastest because its rate is 15 m/s
The monthly amortization is P23,511.63
<h2>Compound interest</h2>
The formula for calculating the compound interest is expressed as:

whrere:
- P is the principal = P700,000
- r is the rate = 12% = 0.12
- t is the time = 4 years
- n = 12
Substitute the parameters

Calculate the monthly payment:
Monthly payment = 
Hence the monthly amortization is P23,511.63
Learn more on compound interest here: brainly.com/question/24924853
If y varies directly with x, that means they change at proportion rates. We can define their relationship using a constant k.
y = kx
Plug in what we know to find k.
-3 = 5k
k = -3/5
So:
y = -1 * (-3/5)
y = 3/5
Answer:
Prove set equality by showing that for any element
,
if and only if
.
Example:
.
.
.
.
.
Step-by-step explanation:
Proof for
for any element
:
Assume that
. Thus,
and
.
Since
, either
or
(or both.)
- If
, then combined with
,
. - Similarly, if
, then combined with
,
.
Thus, either
or
(or both.)
Therefore,
as required.
Proof for
:
Assume that
. Thus, either
or
(or both.)
- If
, then
and
. Notice that
since the contrapositive of that statement,
, is true. Therefore,
and thus
. - Otherwise, if
, then
and
. Similarly,
implies
. Therefore,
.
Either way,
.
Therefore,
implies
, as required.