Answer:
<em>The total number of games is </em><em>40.</em>
Step-by-step explanation:
Let us assume the total number of games played is x.
So 80% of total number of games is,
As it is given as 32, so
Therefore, the total number of games is 40
Answer:
$59
Step-by-step explanation:
Half off means you pay half price. The $22 is the item of lesser value, so you pay ...
$48 + (1/2)·22 = $59
Answer:
I searched it up
Step-by-step explanation:
Answer:
The two horiz. tang. lines here are y = -3 and y = 192.
Step-by-step explanation:
Remember that the slope of a tangent line to the graph of a function is given by the derivative of that function. Thus, we find f '(x):
f '(x) = x^2 + 6x - 16. This is the formula for the slope. We set this = to 0 and determine for which x values the tangent line is horizontal:
f '(x) = x^2 + 6x - 16 = 0. Use the quadratic formula to determine the roots here: a = 1; b = 6 and c = -16: the discriminant is b^2-4ac, or 36-4(1)(-16), which has the value 100; thus, the roots are:
-6 plus or minus √100
x = ----------------------------------- = 2 and -8.
2
Evaluating y = x^3/3+3x^2-16x+9 at x = 2 results in y = -3. So one point of tangency is (2, -3). Remembering that the tangent lines in this problem are horizontal, we need only the y-coefficient of (2, -3) to represent this first tangent line: it is y = -3.
Similarly, find the y-coeff. of the other tangent line, which is tangent to the curve at x = -8. The value of x^3/3+3x^2-16x+9 at x = -8 is 192, and so the equation of the 2nd tangent line is y=192 (the slope is zero).
Answer:
Range
Step-by-step explanation:
In statistics, the range of a set of data is the difference between the largest and smallest value in the distribution. It is calculated by subtracting the lowest value from the highest value. The range shows how widely spread out a set of given data is.
