Answer:
12
Step-by-step explanation:
To find the common difference, we take the 2nd term and subtract the first term
17-5 =12
We check it with the 3rd term minus the second term
29-17 = 12
The common difference is 12
We add 12 each time
Answer:
130,110,40,90,165
Step-by-step explanation:
supplementary angles add up to 180
so 180-50= 130
180-70=110
etc
9514 1404 393
Answer:
y = 3.02x^3 -5.36x^2 +5.68x +8.66
Step-by-step explanation:
Your graphing calculator (or other regression tool) can solve this about as quickly as you can enter the numbers. If you have a number of regression formulas to work out, it is a good idea to become familiar with at least one tool for doing so.
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If you're trying to do this by hand, the x- and y-values give you 4 equations in the 4 unknown coefficients.
a·1^3 +b·1^2 +c·1 +d = 12
a·3^3 +b·3^2 +c·3 +d = 59
a·6^3 +b·6^2 +c·6 +d = 502
a·8^3 +b·8^2 +c·8 +d = 1257
Solving this by elimination, substitution, or matrix methods is tedious, but not impossible. Calculators and web sites can help. The solutions are a = 317/105, b = -75/14, c = 1193/210, d = 303/35. Approximations to these values are shown above.
The value of x is
-4x + 8 = 42
-4x = 42 -8
-4x = 34
x = -8,5