Answer:
the y intercept would be 4 pr (0,4)
Answer:
125 km in 100 minutes
Step-by-step explanation:
In order to solve this problem, you have to divide 7.5 by six to find out how fast it goes per minute. BY doing this you are left with 1.25. You then multiply 1.25 by 100 to find out how far it goes in 100 minutes.
Hope this helped :)
Answer:
a. B. Frequency is the number of times a particular distinct value occurs. Relative frequency is the ratio of the frequency of a value to the total number of observations.
b. A. A relative frequency is the same as a percentage expressed as a decimal.
Step-by-step explanation:
Frequency is the number of repetitions of a particular observation.
Relative Frequency is the ratio of the frequency of particular observation to the sum of frequencies of all the observations.
The percentage is the proportion of the whole.
Thus, In question (a)
Option B is the only correct answer.
and in question (b)
Option A is the only correct answer.
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:
the answer to this would be $5.20
Step-by-step explanation:
0.40 times 13 = 5.20
