If (x^6)^y = x^3, then y = ___. Show your work!
1 answer:
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<h2>Steps:</h2>
So for this, I will be factoring by grouping. Firstly, factor x³ + 2x² and -4x - 8 separately. Make sure that they have the same quantity inside of the parentheses:
Now we can rewrite it as:
However, we aren't finished factoring yet. The first factor, x² - 4, can be factored further using the difference of squares. The difference of squares goes by the formula here: . In this case:
<u>In short, the answer is </u>
Answer:
Option A
Step-by-step explanation:
Function One is represented by the graph. We can see that the slope of the First Function is positive because the formula of slope is
And we can see that in the graph the change in y and change in x are both positive as the function is increasing because if we see the graph closely,
When x = 1 the value of y = 2 and when x = 2 the value of y = 4 and when x = 3 the value of y = 6 so the values are increasing of x and of y hence the slope is positive and the value of slope is 2.
Now the Second Function which is y = -4x here the slope is negative because the slope-intercept form of the equation is .
and the second function is
if we compare both these equations we get the value of m = -4 where m is also called the slope. So the slope of the second function is negative.
So
Option B is incorrect because the slope of the first function is positive
Option C is incorrect because the slope of the second function is negative
Option D is incorrect because the slope of the first function is 2 and the slope of the second function is -4
That leaves us with Option A which is correct, where we can see that the slope of the first function is positive and the slope of the second function is negative