The product of the consecutive integers is 72. The equation xx+1) = 72 represents the situation where z represents
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If 3 = 
, then we know 9 = 
because 9 is 3 squared.
can be simplified to 
So now we know
= ·
Since and have the same base, we can express it as a single term by adding the exponents together.
So the answer is C)
So now we know
Since
So the answer is C)
<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
_____
<h3>f(x) = -1/4·2^(x+1) -1</h3>You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)