Hello!
There is a discount of 40%, which means that we will be subtracting 40% of the price, and then sales tax is basically additional money added to the price, so we will be adding that.
65.00 * 40% = 26
65.00 - 26 = 39
So, the discounted price is $39. Now we must add tax on that.
39 * 5% = 1.95
39 + 1.95 = 40.95
The final price of the jacket is $40.95.
for an angle of 780°, we can say that is really a 360° + 360° + 60°, so two full revolutions plus an extra 60°. Check the picture below, with the coterminal in green.
Answer:
The vertex of this parabola,
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where
,
, and
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for
, and the coefficient for
should all match accordingly. That is:
.
The first equation implies that
is equal to
. Hence, replace the "
" in the second equation with
to eliminate
:
.
.
Similarly, replace the "
" and the "
" in the third equation with
and
, respectively:
.
.
Therefore,
would be equivalent to
. The vertex of this parabola would thus be:
.
The fewest number of expressions is 3.