<span>Given that there are 50 campers at day camp and 10
counselors.
The ratio of campers to counselors as a fraction is given by
.
Using equivalent fractions we have
.
Thus, the related rate and unit
rate to the ratio of campers to counselors is given by
.
The unit rate indicates that for every counselor, there are 5 campers.</span>
What are you having trouble with..
Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.
For the painting,
For the frame,
Since she wants to maintain the same ratio; both scale must be the same.
i.e.
Express as fraction
Make w the subject
<em>The width of the frame must be 12 inches i.e. 15in by 12in frame</em>
Answer:
5.429503679 multiply by 10 power 12th
Part A:
The first step of completing the square is writing the expression
as
which expands to
.
We have the first two terms exactly the same with the function we start with:
and
but we need to add/subtract from the last term, 49, to obtain 41.
So the second step is to subtract -8 from the expression
The function in completing the square form is
Part B:
The vertex is obtained by equating the expression in the bracket from part A to zero
It means the curve has a turning point at x = -7
This vertex is a minimum since the function will make a U-shape.
A quadratic function
can either make U-shape or ∩-shape depends on the value of the constant
that goes with
. When
is (+), the curve is U-shape. When
(-), the curve is ∩-shape
Part C:
The symmetry line of the curve will pass through the vertex, hence the symmetry line is
This function is shown in the diagram below
