Answer:
Below.
Step-by-step explanation:
7P4
= 7! / (7-4)!
= 7*6*5*4*3*2*1 / ( 3*2*1)
= 7*6*5*4
= 840.
12C5
= 12! / (12-5)! 5!
= 12*11*10*9*8*7*6*5*4*3*2*1 / ( 7*6*5*4*3*2*1 * 5*4*3*2*1)
= 12*11*10*9*8 / 5*4*3*2*1
= 792.
The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
<h3>How to determine the function (fg)(x)?</h3>
The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
Read more about composite function at:
brainly.com/question/10687170
Normally, to find the area of a circle you'd do π ×
so you have to find the radius by dividing 5 by 2 to get 2.5. Approximating pi as 3.14, you would do 3.14 ×
= 19.625. Because the porch is a quarter circle, you would then divide this by 4 to get 4.906. Rounded to the nearest square foot, your answer would therefore be 5 ft. I hope this helps!
Add the ratios together:
5 + 2 + 1 = 8
Divide the length of NQ by that:
24/8 = 3
Multiply the ratio of NO by that/l
The ratio of NO is 5, 5 x 3 = 15
NO = 15
Answer:
4 tiles
Step-by-step explanation:
Divide 24 by 2 (Coz): 12 tiles
Divide 24 by 3 (Amelia): 8 tiles
Subtract 8 from 12.
12 - 8 = 4
There are 4 more tiles in each of Coz's rows than Amelia's.
