Answer:
In order to simplify improper fractions
1. Multiply the denominator and the whole number.
2. Add the numerator to the product.
3. Keep the denominator the same.
4. Easily simplify your solution
Step-by-step explanation:
And for proper fractions, just simplify by finding the GCF and divide Numerator by denominator.
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Answer:
y = 3x + 12
Step-by-step explanation:
y = 3x + 5 has slope 5.
We need the equation of a line with slope 5 that passes through point (0, 12).
y - y1 = m(x - x1)
y - 12 = 3(x - 0)
y - 12 = 3x
y = 3x + 12
-7x - 2y = 19
4x + y = -12
Set y equal to each other (opposite signs are fine and you could also set x equal instead of y)
-7x - 2y = 19
8x + 2y = -76
Add equations together
x = -52
Plug x value into an equation
4(-52) + y = -12
Solve for y
-208 + y = -12
y = 196
Hope this helps! ;)
Answer:
an = (n+3)/(n+1)
Step-by-step explanation:
The sequence can be written as ...
4/2, 5/3, 6/4, 7/5, 8/6, ...
where the first numerator is n+3 and the first denominator is n+1. Each numerator and denominator increase by 1 from term to term, so the explicit formula can be written
an = (n+3)/(n+1)
