Imagine that points A, B, C and D are collinear and appears in that order from the left to the right. You want to find the measure of the first line segment AB. First, let's find the value of x.
BD = BC
5x + 26 = 2x + 1
5x - 2x = 1 - 26
3x = -25
x = -8.33
2(-8.33) + 1 = -15.67
So, BD=BC= -15.67
To find AB, the solution is as follows:
AC = AB + BC
43 = AB + (-15.67)
AB = 58.67
Answer:
The answer in interval notation is ( 73 , 100 )
Step-by-step explanation:
If we call x and y the lower and upper values for David to get an average of 80 and 89 respectively, we can calculate these two values solving a pair of equations:
(81 + 92 + 74 + x ) / 4 = 80 ⇒ (247 + x )/4 = 80
247 + x = 320 ⇒ x = 320 - 247
x = 73
And
(81 + 92 + 74 + y ) / 4 = 89 ⇒ ( 247 + y ) / 4 = 89
247 + y = 356
y = 356 - 247
y = 109
But tests are a 100-point test
Then the answer in interval notation is ( 73 , 100 )
Answer:
f−1(f(x)) = f(f−1(x)) = x
Step-by-step explanation:
Follow this simple example using the function f(x) = x + 2
f(x) = x + 2
NOw we find the inverse function f^(1)(x).
y = x + 2
x = y + 2
y = x - 2
f^(-1)(x) = x - 2
The inverse function is f^(-1)(x) = x - 2
Now we do the two compositions of functions:
f^(-1)(f(x)) = x + 2 - 2 = x
f(f^(-1)(x)) = x - 2 + 2 = x
Both are equal to x.
Answer: f−1(f(x)) = f(f−1(x)) = x
No because Edward can do 26 push-ups per minute while Micah can only do 25 push-ups per minute
