A linear function is usually in the form: y=Mx+c. In equation 1, there is no x term and same for equation 3, leaving your only and correct answer to be equation 2. And if you rearrange equation 2, you will get: 5y = -2x + 8.
angles x and y are complimentary angles, hat means that their angles added together have a total of 90 degrees.
Let x = age of jack
Let y = age of Lacy
x=3y (Jack age is 3 times that of Lacy)
(x+y)-8 = 25
Substituting value of x:
(3y+y) -8 = 25
4y - 8 = 25
4y = 33
y = 33/4 = 8.25 or 8 years 3 months (age of Lacy)
x = 3(8.25) = 24.75 or 24 years 9 months (age of Jack)
Checking:
Substituting in equation ( x + y ) -8 = 25
24.75 + 8.25 - 8 = 25
25 = 25
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Answer:
Common difference
Next three terms
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Find the common difference by subtracting the previous term from a term. We can use the terms 1/4 and 1/2:
Convert 1/2 into a fraction over 4:
1/2 · 2/2 = 2/4
Find the common difference by subtracting the fractions:
2/4 - 1/4 = 1/4. This is the common difference.
Find the next 3 terms by adding 1/4:
5/4 + 1/4 = 6/4 (Reduce fraction) = 3/2
6/4 + 1/4 = 7/4
7/4 + 1/4 = 8/4 (Reduce fraction)
Therefore, the next 3 terms are 3/2, 7/4 and 2.