The intercepts of the graph are:
x-axis interception:
.
y-axis interception:
.
See the graph of the function
in the attached image.
<h3>
Constructing a graph</h3>
For constructing a graph we have the following steps:
- Determine the range of values for x of your graph.
For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.
Replace these x-values in the given equation. For example:
When x=-4, we will have:
. Do this for the all x-values of your ranges.
See the results for this step in the attached table.
Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.
The attached image shows the graph for the given function.
<h3>
Find the x- and y-intercepts</h3>
The intercepts are points that crosses the axes of your plot. From your graph is possible to see:
x-axis interception points (y=f(x)=0) are:
.
y-axis interception point (x=0) is:
.
Learn more about intercepts of the graph here:
brainly.com/question/4504979
Answer:

Step-by-step explanation:
It is given that,
V = bdt i.e. V is equal to the product of b, d and t
We need to find the formula for d.
Dividing both sides of the given expression by bt
So,

Hence,
is the value of d.
The exponential equation that gives the number of bees in week 12 is of:

<h3>What is an exponential function?</h3>
It is modeled by:

In which:
In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

Hence, after 12 weeks, the expression is:

More can be learned about exponential equations at brainly.com/question/25537936
Answer:
Using the Pythagorean theorem for isosceles right triangle, the length of the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in
Hope this helps!
:)