The constant of proportionality is <em>4 .</em>
The equation is [ <em>Height = (4) times (Days)</em> ] .
When the sunflower is 60cm tall, 60 = (4) times (Days).
Divide each side of the equation by 4: <em>15 = Days</em>
Answer:
Step-by-step example explanation:
DOMAIN:
{
x
∣
x
≠
3
2
}
RANGE:
{
y
∣
y
≠
3
2
}
Explanation:
The domain consists of all numbers you can legally plug into the original. The excluded "illegal" values would be dividing by zero or negatives under square roots.
This expression has a denominator, so there is a risk of illegally dividing by zero. This would happen only if
2
x
−
3
=
0
2
x
=
3
x
=
3
2
This means that
x
=
3
/
2
is excluded from the domain. Therefore,
Domain: All real numbers except
x
=
3
/
2
. More formally, you could state the domain as
{
x
∣
x
≠
3
2
}
.
For rational functions, you find the range by evaluating the degree of the numerator compared to the degree of the denominator. If the degree of the top > degree of bottoms, then you have a horizontal asymptote at
y
=
0
. If they are equal, you have a horizontal asymptote. The coefficient of highest degree in the numerator is divided by the coefficient of the highest degree on the bottom. The result is
y
=
that fraction. So in our case, you have a horizontal asymptote at
y
=
3
2
Look at the unit circle and apply the hint. The x- and y-coordinates of each point are cosθ and sinθ, respectively. The radius of the unit circle is, of course, 1, and the center point is (0, 0).
General form of the parametric equations for a circle:
x = r·cosθ+h
and
y = r·sinθ+k
where r is the radius and (h, k) is the center. Therefore, the parametric equations for the unit circle are
x = cosθ
and
y = sinθ
:::::
The parametric equations
x = 2cosθ
and
y = 2sinθ
define a circle of radius 2, centered at the origin.
:::::
The parametric equations
x = 4cosθ
and
y = 2sinθ
define a horizontal ellipse centered at the origin, with transverse axis of length 8 and conjugate axis of length 4.
:::::
If a = b then
x = a·cosθ
and
y = b·sinθ
define a circle centered at the origin.
If a > b, then
x = a·cosθ
and
y = b·sinθ
define a horizontal ellipse centered at the origin.
If a < b, If a = b then
x = a·cosθ
and y = b·sinθ
define a vertical ellipse centered at the origin.
In order to get the answer,
1. Multiply 21*3/4
2. The answer is 63
___
4
3. Since that is a mixed fraction, you need to turn it into a mixed fraction. In order to do that you need to divide 63 by 4 and it'll be 5 3/4
4. YOUR ANSWER IS 5 3/4
