Answer:
1680
Step-by-step explanation:
nPr = n!/(n-r)!
Therefore;
8P4 = 8!/(8-4)!
we get;
= 8!/4!
= (8×7×6×5×4×3×2×1)/(4×3×2×1)
= 40,320/ 24
= 1680
Answer:
74
Step-by-step explanation:
13 x 5 is 65. 65 + 9 is 74.
Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
To find Ken's speed divide total distance by total time:
174 miles / 3 hours = 58 miles per hour.
In the equation for Brenda, the 57 is the miles per hour because you would multiply that by x ( hours) to get total miles (y).
Ken had the faster driving speed.
Functions can be used to model real life situations.
The hose is 3.2 feet above the ground, at a horizontal distance of 4 fee
The function is given as:
At a horizontal distance of 4 feet, the value of x is 4
i.e. 
Substitute 4 for x in f(x).
So, we have:
Evaluate the exponent
Open both brackets
Add -4.8 and 8
Hence, the hose is 3.2 feet above the ground
Read more about functions at:
brainly.com/question/10837575
