Answer:
A. Vertex is ( -1, 16)
B. Do they mean y-intercept for vertical intercept? That is (0,14)
C. X-intercepts are
(-3.838, 0) and (1.828, 0)
Step-by-step explanation:
plug the equation into desmos. It will graph and give you the info.
To find y-int, plug in 0 for x. This gives you the point 0, 14.
You can also use the quadratic equation to find the x-intercepts.
Answer:
Constant of proportionality: 
Equation: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:

Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:

Then, the first step is to find the Constant of proportionality "k".
Knowing that:

We can substitute values into the equation:

Now, solving for "k", we get:

Therefore, we can write the following equation that represents that proportional relationship:


Convert the mixed number to an improper fraction:

Subtract the fractions to get your final answer:

Answer:
x=3, solution is not extraneous
Step-by-step explanation:
we have

Solve for x
squared both sides


<u><em>Verify</em></u>
For x=3



-----> is true
therefore
x=3, solution is not extraneous
Answer:
3 11/21
Step-by-step explanation:
2 2/3=(2*3+2)/3=<u>8/3</u>
8/3+6/7=56/21+18/21=74/21 or 3 11/21