Answer:
see the explanation
Step-by-step explanation:
we know that
The equation of a horizontal line is equal to the y-coordinate of the point that passes through it
so
In this problem, the line passes through the points
(-3.5,4),(0,4), and (6.2,4)
The y-coordinate is 4
The equation of the horizontal line is
y=4
therefore
Any point with the y-coordinate equal to 4, fall on this line
Example
(1,4) and (5,4)
Answer:
.
Step-by-step explanation:
Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to
. Make use of the power rule to find the following:
.
.
The question states that the graphs of
and
touch at
, such that
. Therefore:
.
On the other hand, since the graph of
and
coincide at
,
(otherwise, the two graphs would not even touch at that point.) Therefore:
.
Solve this system of two equations for
and
:
.
Therefore,
whereas
.
Substitute these two values back into the expression for
and
:
.
.
Evaluate either expression at
to find the
-coordinate of the intersection. For example,
. Similarly,
.
Therefore, the intersection of these two graphs would be at
.
<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
As the question states,
John's brother has Galactosemia which states that his parents were both the carriers.
Therefore, the chances for the John to have the disease is = 2/3
Now,
Martha's great-grandmother also had the disease that means her children definitely carried the disease means probability of 1.
Now, one of those children married with a person.
So,
Probability for the child to have disease will be = 1/2
Now, again the child's child (Martha) probability for having the disease is = 1/2.
Therefore,
<u>The total probability for Martha's first child to be diagnosed with Galactosemia will be,</u>

(Here, we assumed that the child has the disease therefore, the probability was taken to be = 1/4.)
<em><u>Hence, the probability for the first child to have Galactosemia is
</u></em>