Answer: I THINK A function f (x) is called increasing in an interval [a,b] when f' (x) > 0 in the interval (a,b). That is, in that interval, with increasing the value of x the value of f (x) increases. Let f (x) be the function which is shown in the given diagram.
Step-by-step explanation:
Answer:
- The effect of the negative sign is that it reflects the graph of the function over the x-axis.
- That means that the graph that represents such function is a parabola that opens downward, being its vertex the maximum of the graph.
Explanation:
The vertex form of a parabola is y = A (x - h)² + k.
The values of A, h, and k means the following:
- A > 0 the parabola opens upward and the vertex is a minimum,
- A < 0 the parabola opens downward and the vertex is a maximum.
- A cannot be equal to zero.
- | A | > 0 the parabola is stretched vertically.
- | A | < 0 the parabola is compressed vertically.
- The vertex of the function is the point (h, k).
So, for the given function you have:
- A = - 1/2, so the parabola opens downward and the vertex is the maximum.
- Also, since |A| < 1 means that the parabola is compressed vertically.
- The vertex is (1, 3), so the maximum of the function is 3 and it happens at x = 1.
Answer:
a) 2.5 shots
b) 59.4 shots
c) 4.87 shots
Step-by-step explanation:
Probability of making the shot = 0.6
Probability of missing the shot = 0.4
a) The expected number of shots until the player misses is given by:
The expected number of shots until the first miss is 2.5
b) The expected number of shots made in 99 attempts is:
He is expected to make 59.4 shots
c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:
The standard deviation is 4.87 shots.
Answer:
-6a⁷b⁸
Step-by-step explanation:
(-2a³b²)(3a⁴b⁶)
remove parenthesis:
-2a³b²3a⁴b⁶
reorganize the expression:
-2 × 3a³a⁴b²b⁶
simplify:
-6a⁷b⁸
The way you wrote it, it should be b=3v/hr