Answer:
4 can be rewrite as 2•2, and that's the same as 2².
8 can be rewrite as 2•2•2, and that's the same as 2³
So we can rewrite the whole expression as:
2^x = (2²)⁸•(2³)⁴
2^x = 2¹⁶•2¹²
2^x = 2²⁸
So x = 28
Answer:
A.
Step-by-step explanation:
1.5m + 6.5q > 100
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Answer:
S = 1564
Step-by-step explanation:
S = 12 + 22 + 32 + .. + 172
= 12 + (12+10) + (12+20) + .. + (12+160)
= 10(1 + 2 + .. + 16) + 12×17
= 10×16×17/2 + 12×17
= 1360 + 204
= 1564
The general rule for a linear equation is y=mx+c where m is the slope or gradient... therefore the slope is 3.
Now we need to get 2 points on the line.
You can easily get the y-int by substituting x=0 into the equation... therefore the y-int is 11... you have one point on the line: (0,11)
Now that you have one point and we know the gradient or slope which is 3, go from the point you have found (0,11) and go up 3 and across 1 to find a second point... then simply rule a line in between the two points.