Answer: Mean(Mia)=34.33 Mean(Sophia)=35.667
Sophia's phone calls on average, are longer in length than Mia's phone calls.
Step-by-step explanation:
Answer:
C=78
D=102
Step-by-step explanation:
co-interior angles are sepplementary
Expression is 45 + m
Step-by-step explanation:
- Step 1: Given the time taken on the hike to a creek = 45 minutes and the time taken on the hike from the creek to the picnic spot = m. Write expression based on this data.
Total number of minutes they hiked = 45 + m
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:Line graphs can give a quick analysis of data. You're able to quickly tell the range, minimum/maximum, as well as if there are any gaps or clusters. This also means that it can easily observe changes over a certain period of time. When drawing them, you're able to use exact values from your data.
Step-by-step explanation:
