Answer:
triangular prism
Step-by-step explanation:
B~ The line has a negative slope
The correlation coefficient of a scatter plot with line of best fit shown will be the slope of the line.
We can eliminate last 2 choices because the line is clearly a downward sloping line and it's slope wont be positive.
From the first two, it looks like the plot's slope is very close to -1. So we take -0.91, instead of -0.35. <em>[note: 0.91 is more steeper than 0.35 (which is very relaxed)]</em>
ANSWER: -0.91
We'll need to find the 1st and 2nd derivatives of F(x) to answer that question.
F '(x) = -4x^3 - 27x^2 - 48x - 16 You must set this = to 0 and solve for the
roots (which we call "critical values).
F "(x) = -12x^2 - 54x - 48
Now suppose you've found the 3 critical values. We use the 2nd derivative to determine which of these is associated with a max or min of the function F(x).
Just supposing that 4 were a critical value, we ask whether or not we have a max or min of F(x) there:
F "(x) = -12x^2 - 54x - 48 becomes F "(4) = -12(4)^2 - 54(4)
= -192 - 216
Because F "(4) is negative, the graph of the given
function opens down at x=4, and so we have a
relative max there. (Remember that "4" is only
an example, and that you must find all three
critical values and then test each one in F "(x).
Answer:
You must add 9/4 in order to make this a perfect square.
Step-by-step explanation:
To make any binomial into a perfect square trinomial, you have to take the middle term (-3), cut it in half (-3/2) and then square it (9/4). This will give you the constant to make a perfect square trinomial every time.
