Answer:
k = 4
Step-by-step explanation:
Given that a varies directly as b then the equation relating them is
a = kb ← k is the constant of variation
To find k use the condition a = 8 when b = 2
k = 
= 
= 4
Answer:
D) v = -2,000y + 20,000.
Step-by-step explanation:
The question gives a linear relationship between two quantities. This means that the relationship between the initial value of the car and the amount it depreciates each year is proportional, or constant. Since the value of the car decreases by 10% of its initial value each year, then each year the value will decrease by 10% of 20,000 or 0.10 x 20000 = $2,000. Since we know the value is decreasing each year, this amount would be subtracted from the initial value of $20,000. So, D) v = -2,000y + 20,000 would be the only equation that represents this scenario.
Answer:
6x - 2(x - 3) and x + 3(x - 2) - 6
The two expresaions that are quivalent are <u>6x - 2(x - 3)</u> and <u>x + 3(x - 2) - 6</u>.
Step-by-step explanation:
First expression which is 4(x - 3) is an example of a binomial that when multiplied together, the product would be 4x - 12. Therefore, second and third expressions are the answer.
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Answer:
d
Step-by-step explanation:
A(n) = 1 - 0.1(n-1)
A(1) = 1- 0.1*(1-1) = 1 - 0.1*0 = 1
A(2) = 1- 0.1*(2-1) = 1 - 0.1*1 = 1- 0.1 = 0.9
A(3) = 1 - 0.1(3-1) = 1 - 0.1*2 = 1-0.2=0.8
Method:
A(1)=1
D = A(2)-A(1) = 0.9 - 1 = -0.1
A(n) = A(1)+(n-1)*d = 1 + (n-1)*(-0.1)
= 1 - 0.1(n -1)
