Answer: The player need to make 2 consecutive free throws to raise the average to 75%.
Step-by-step explanation:
Let the number of extra consecutive free throws to raise the average to 75% be 'x'.
Number of free throws already taken = 32
Number of attempts = 45
According to question, it becomes,
Hence, the player need to make 2 consecutive free throws to raise the average to 75%.
Answer:
3. about 7.48 hours
4. about 1.8892 hours
Step-by-step explanation:
Both of these questions make use of the relation ...
time = distance / speed
3. time = (965 mi)/(129 mi/h) ≈ 7.48062 h ≈ 7.48 h
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4. time = (612.1 mi)/(324 mi/h) ≈ 1.889198 h ≈ 1.8892 h
(We have rounded the time to sufficient precision so that the distance at the given speed rounds to the number given.)
Answer:
B.60 inches
Step-by-step explanation:
you know you can consider two triangles because of the diagonal cut. and the distance wound be √(36²+48²)=60 inches
Answer:
g(-4) = -1
g(-1) = -1
g(1) = 3
Explanation:
If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.
For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.
Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.
As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.
It is a coincidence that g(-1) = -1.
Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.
We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3
