Answer: A
Step-by-step explanation:
Answer:
9x - 45
Step-by-step explanation:
To simplify this expression, we need to use Distributive Property to get rid of the parentheses. So, we multiply the -9 by everything inside the parentheses.
-9(-x + 5)
-9 · -x = 9x
-9 · 5 = -45
Now we add our products together.
9x + -45
Since there is a '+' sign and a '-' sign next to each other, we can simplify it to just a '-'.
9x - 45
Hope this helped! Let me know if you have any other questions! :)
*the scatter plot of the question is attached below
Answer:
Strong negative correlation
Step-by-step explanation:
In the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.
Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.
Therefore, the phrase that best describes the scatter plot is: strong negative correlation.
In the
direction we consider the
subintervals [0, 1] and [1, 2] (each with length 1), while in the
direction we consider the
subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of
are (1, 0), (2, 0), (1, 2), (2, 2).
Let
. The volume of the solid is approximately

###
More generally, the lower-right-corner Riemann sum over
and
subintervals would be

Then taking the limits as
and
leaves us with an exact volume of
.