The domain { x | x = -5 , -3 , 1 , 2 , 6}
The function A(x) = 2x²-3x-2 represents the area of the garden.
Step-by-step explanation:
Given,
Length of rectangular garden is given by;
L(x) = 2x+1
Width of rectangular garden is given by;
W(x) = x-2
Area of rectangular garden;
A(x) = L(x) * W(x)
![A(x) = (2x+1)(x-2)\\A(x) = 2x(x-2)+1(x-2)\\A(x) =2x^2-4x+x-2\\A(x) = 2x^2-3x-2](https://tex.z-dn.net/?f=A%28x%29%20%3D%20%282x%2B1%29%28x-2%29%5C%5CA%28x%29%20%3D%202x%28x-2%29%2B1%28x-2%29%5C%5CA%28x%29%20%3D2x%5E2-4x%2Bx-2%5C%5CA%28x%29%20%3D%202x%5E2-3x-2)
The function A(x) = 2x²-3x-2 represents the area of the garden.
Keywords: Area, rectangle
Learn more about area at:
#LearnwithBrainly
Answer:
36
Step-by-step explanation:
4*6=24
3*4=12
24+12=36
To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.
So, for the first function, you have
![T(x) = -x-2 \implies T(-4) = -(-4)-2 = 4-2 = 2](https://tex.z-dn.net/?f=%20T%28x%29%20%3D%20-x-2%20%5Cimplies%20T%28-4%29%20%3D%20-%28-4%29-2%20%3D%204-2%20%3D%202%20)
The name of the variable is obviously irrelelvant, so the same goes for the second function:
![w(x) = 14-6x \implies w(-3) = 14-6\cdot(-3) = 14 + 18 = 32](https://tex.z-dn.net/?f=%20w%28x%29%20%3D%2014-6x%20%5Cimplies%20w%28-3%29%20%3D%2014-6%5Ccdot%28-3%29%20%3D%2014%20%2B%2018%20%3D%2032%20)
B. Total number of times the activity is performed: Number of times an event occurs