.125 is the answer to that question
Answer:
p = 5/7
Step-by-step explanation:
The given function is:
for -4 ≦ x < 1
for 1 ≦ x ≦ 5
Part a)
A continuous function has no breaks, jumps or holes in it. So, in order for g(x) to be continuous, the point where g(x) stops during the first interval -4 ≦ x < 1 must be equal to the point where g(x) starts in the second interval 1 ≦ x ≦ 5
The point where, g(x) stops during the first interval is at x = 1, which will be:

The point where g(x) starts during the second interval is:

For the function to be continuous, these two points must be equal. Setting them equal, we get:
3 = 7p - 2
3 + 2 = 7p
p = 
Thus the value of p for which g(x) will be continuous is
.
Part b)
We have to find p by setting the two pieces equal to each other. So, we get the equation as:

Substituting the point identified in part (a) i.e. x=1, we get:

This value agrees with the answer found in previous part.
Answer:
Rules & Examples of Integers multiplication.
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction of integers (positive or negative numbers). Every integer is a rational number.
They are multiplied based on following rules :
- Positive (+) x Positive (+) = Positive (+) , +2 x +2 = 4
- Positive (+) x Negative (-) = Negative (-) , +2 x -2 = -4
- Negative (-) x Positive (+) = Negative (-) , -2 x +2 = -4
- Negative (-) x Negative (-) = Positive (+) , -2 x -2 = 4
Mean: 4.6 (basically the average
Median: 4 (the number in the middle
Mode: there isn’t one (it’s the number repeated the most)
Range: 7 (largest and smallest number subtracted
Answer:
B
Step-by-step explanation:
In this case we multiply the function f(x) = 2^x by 5, so the correct answer is B.