we are given
airthematic sequence
we can use nth term formula

n is number of terms
an is nth term
d is common difference
a1 is first term
We are given
a7=40
we can use it



a18 = 106


we can subtract both equations



now, we can find a1

we can plug d=6


12th term:

now, we can plug values



so, 12th term is 70...........Answer
The graph of G(x) is the graph of F(x) shifted 4 units down. B. The graph of G(x) is the graph of F(x) shifted 4 units to the left C. The graph of G(x)...
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We are asked to find the G.C.F. of 8x-6.

- G.C.F. stands for Greatest Common Factor.
So what is the G.C.F. of 8x-6? We can list all of their common factors and then select the greatest one, like so:
1, 2, 4, 8, x
-1, 1, 2, -3, 3, -6, 6
So the GCF is:
2
Now, we can also factor it out by placing it outside the parentheses ():
2(4x-3)
See, we factored it out by dividing both terms of the expression by the G.C.F.
Remember this...

Hope this helps you out! :D
Ask in comments if any queries arise.
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Answer:
y=1/5x-31/5 (or y=0.2x-6.2 in decimals)
Step-by-step explanation:
x=5y-8 (original equation)
x+8=5y <u>(Addition Property of Equality)</u>
1/5x+8/5=y <u>(Division Property of Equality, </u><u>slope </u><u>of </u><u><em>original equation </em></u><u>is </u><u>1/5</u><u>)</u>
<u />
y-y1=m(x-x1) <u>(point-slope formula)</u>
y-(-5))=1/5(x-(6)) <u>(plug in the slope that was found earlier and the point given in the question)</u>
y+5=1/5(x-6)
y+5=1/5x-6/5 (Distributive Property of Multiplication) Note: 5 = 25/5
<u>y=1/5x-31/5</u> (Subtraction Property of Equality, and there's your answer)
<u>y=0.2x-6.2</u><em> </em>(This is the same answer, but written with decimals)
Answer:
9.4
Step-by-step explanation: