-2x + 6y = 6
6y - 6 = 2x
6(y-1) = 2x
(1/2) * 6(y-1) = 2x * (1/2)
x = 3(y-1)
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If, x = 3(y-1),
-7 * 3(y-1) + 8y = -5
-21 * (y-1) + 8y = -5
-21y + 21 + 8y = -5
21 + 5 = 21y - 8y
26 = 13y
y = 26/13
Therefore: y=2.
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If y=2,
x = 3(2-1) = 3
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Answers:
x=3 and y=2.
Answer: $ 290 thousand
Step-by-step explanation:
Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.
Let X be the the average price of a new home in 2000 .
Then , the 62 % increase in price is given by :-
Since , the the average price of the home in 2016 = $470 thosand
Hence, the average price of a new home in 2000 = $ 290 thousand .
Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
Answer:
-3/4
Step-by-step explanation:
-5/4 + 2/4 = -3/4
Hope this helps :)
