Answer:
Step-by-step explanation:
What ever one you think is better.
Answer:
.
Step-by-step explanation:
Let the
-coordinate of
be
. For
to be on the graph of the function
, the
-coordinate of
would need to be
. Therefore, the coordinate of
would be
.
The Euclidean Distance between
and
is:
.
The goal is to find the a
that minimizes this distance. However,
is non-negative for all real
. Hence, the
that minimizes the square of this expression,
, would also minimize
.
Differentiate
with respect to
:
.
.
Set the first derivative,
, to
and solve for
:
.
.
Notice that the second derivative is greater than
for this
. Hence,
would indeed minimize
. This
value would also minimize
, the distance between
and
.
Therefore, the point
would be closest to
when the
-coordinate of
is
.
Answer:
1920 men are there in college.
Step-by-step explanation:
Given the statement: At a certain college, the ratio of men to women is 6 to 5. If there are 3520 total students.
Ratio states that it is just a comparison between, or a relating of, two different things.
i.e a to b or a: b
Ratio of men to women:
Men : Women = 6: 5
Let x be the number.
Total number of Men in college = 6x and Total number of women = 5x
Since, total number of students = 3520
⇒
Combine like terms;
11x = 3520
Divide by 11 on both sides we get;
x = 320
Therefore, total number of men in college = 6x = 6(320) = 1920
Answer:
vertex form
Step-by-step explanation:
y= -3(x-5)^2+7
This equation is written in vertex form
y = a(x-h)^2 +k
The vertex is (h,k)