Answer:
Step-by-step explanation:
Area of rectangle = Length × Width
The given rectangle has a length if x meters
The width of the triangle is (x-3) meters
The area of the rectangle is given as 10 square meters.
Area if rectangle = x(x-3) = 10
Multiplying each term in the parentheses,
x^2 -3x = 10
x^2 -3x -10 = 0
This is a quadratic equation
We will look for two numbers such that when they are multiplied, it will give us -10x^2 and when they are added, it will give -3x. It becomes
x^2 + 2x - 5x -10 = 0
x(x+2)-5(x+2) =0
( x + 2)(x-5) = 0
x = -2 or x = 5
The length of the rectangle cannot be negative so the length is 5 meters
Widith = x+3 = 5-3 = 2 meters
Answer:
(g•f)(x) = x.
Step-by-step explanation:
Let 
, then the inverse function of the f(x) is 
So, (g•f)(x) = ![g[f(x)] = g(x^{2} + 1 ) = \sqrt{(x^{2} + 1) - 1} = \sqrt{x^{2} } = x](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%20%3D%20g%28x%5E%7B2%7D%20%2B%201%20%29%20%3D%20%5Csqrt%7B%28x%5E%7B2%7D%20%2B%201%29%20-%201%7D%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%20%7D%20%3D%20x)
Therefore, we can write if f(x) and g(x) are inverse functions of each other, then (g•f)(x) = x.
Hence, option D is correct. (Answer)
The answer would be 4.49%
Answer:
8793
Step-by-step explanation:
9×1013= 9117
3×108=324
9117-324= 8793
Answer:
Step-by-step explanation:
I just finished this exam review and it should be f(x)=4(^3sqrt16)^2x
Hope this helps you out!
