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)
The function A(x) = 2x²-3x-2 represents the area of the garden.
Keywords: Area, rectangle
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Answer: Choice C. 
and Choice E. 
Step-by-step explanation:
Algebraic exponents.
First term ,a=4 , common difference =4-7=-3, n =50
sum of first 50terms= (50/2)[2×4+(50-1)(-3)]
=25×[8+49]×-3
=25×57×-3
=25× -171
= -42925
derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an
S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d] → Equation (1)
S=an+an−1+an−2+an−3+...+a1
S=an+(an−d)+(an−2d)+(an−3d)+...+[an−(n−1)d] → Equation (2)
Add Equations (1) and (2)
2S=(a1+an)+(a1+an)+(a1+an)+(a1+an)+...+(a1+an)
2S=n(a1+an)
S=n/2(a1+an)
Substitute an = a1 + (n - 1)d to the above equation, we have
S=n/2{a1+[a1+(n−1)d]}
S=n/2[2a1+(n−1)d]
Answer:
82/13
Step-by-step explanation:
