Sigma(i = 7 to 16, 2i-12) = 2*sigma(i = 7 to 16, i) -120
= 2*115-120 = 110
The profits this year are $3000. found by $2500×1.2
The consult must make at least 600 dollars. That means the combination of reviews and new written pieces must be at least $600, or greater than or equal to (<span>≥) $600.
You are also told that each new piece = $120 and each review = $60. Let's use variables n = new piece and r = review. (You might be given different variables for your answer choices). That means the total money made from a combination of new pieces and reviews is:
120n (money made from each new piece times n number of new pieces) + 60r (money made from each review times r number of reviews).
Put that all together to get your inequality:
120n + 60r </span>≥ 600
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Answer: 120n + 60r ≥ 600
the correct functions are
h(x) = 3x + 2
g(x) = 2^x
proceed to calculate the different values of K (x)
case 1) k(x) = g(x) ∘ h(x)
g(x) ∘ h(x)=g(h(x))
k(x) = [2]^[3x + 2]-----------> is the option 4. k(x) = 2^(3x + 2 )
case 2) k(x) = g(x) + h(x)
k(x) = [2^x]+[3x + 2]=2^x+3x+2--------> is the option 1.) k(x) = 2^x + 3x + 4
case 3)k(x) = g(x) - h(x)
k(x) = [2^x]-[3x + 2]=2^x-3x-2--------> is the option 2.) k(x) = 2^x - 3x - 2
