Answer:
Step-by-step explanation:
let the plane intersects the join of points in the ratio k:1
let (x,y,z) be the point of intersection.

point of intersection is (8/3,14/3,8/3)
and ratio of division is 2:1
You’re answer will be “x=-2”
Answer:

Step-by-step explanation:
Given
Phone R-Us= $16.95 + $0.05 per SMS
Awesome Wireless = $22.95 + $0.02 per SMS
Required
Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us
Represent the SMS with S
For Phone R-Us, we have:

For Awesome Wireless, we have:

For Awesome Wireless is greater or equal to Phone R-Us, we have:

Collect Like Terms


Solve for S


<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>
Answer:
A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.
A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.
There are many different methods in arriving to the final answer. However, errors cannot be perfectly avoided. One of these errors to mistakenly identify equations as linear. It is important that we know that the equations we are dealing with are of exact or correct characteristics.
Also, if she had used substitution method, she might have mistakenly taken the value of one variable for the other.
Answer:
First option: The slope is negative for both functions.
Fourth option: The graph and the equation expressed are equivalent functions.
Step-by-step explanation:
<h3>
The missing graph is attached.</h3><h3>
</h3>
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Given the equation:

We can identify that:

Notice that the slope is negative.
We can observe in the graph that y-intercept of the other linear function is:

Then, we can substitute this y-intercept and the coordinates of a point on that line, into
and solve for "m".
Choosing the point
, we get:

Notice that the slope is negative.
Therefore, since the lines have the same slope and the same y-intercept, we can conclude that they are equivalent.