Answer:
Total surface = 102.4 cm^2 (second answer in the list of options)
Step-by-step explanation:
Notice that we need to add the surface of 4 rectangles, two have smaller sizes than the other two. A pair of rectangles are 7.2 cm x 4 cm = 28.8 cm^2, while the other pair has 7.2 cm x 2 cm = 14.4 cm^2
There are also two equal bases each one of size 4 cm x 2 cm = 8 cm^2
Now we add two of each of the individual surfaces discussed above to complete the total surface area:
2 * 28.8 + 2 * 14.4 + 2 * 8 = 102.4 cm^2
which agrees with the second answer option provided.
First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.
If we need the vertex to be at
, the equation will contain a
term.
If we start with
we have a parabola, concave down, with vertex at
and a maximum of 0.
So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be 
We have

Now we only have to fix the fact that this parabola doesn't land at
, because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

such that:
Plugging these values gets us

As you can see in the attached figure, the parabola we get satisfies all the requests.
Answer:
1) According to your choices, 3.
2) The other two points must be critical points/undefined (imaginary according to your choices)
3) Synthetic division
4) I don't see why the quadratic formula is a choice, but it's the last remaining option.
Answer: The graph is shifted vertically, but not horizontally
Step-by-step explanation:
Since the added constant is outside the x term, the constant will only shift the graph vertically.
Answer:
J- 2
Step-by-step explanation:
its where the line goes through the plot on the vertical axis