The function f(x) = 800(1.09)4x shows the growth due to interest that Jim earns on an investment. The steps to calculate an equi
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Answer:
The number of bottles recycle by Alice is 21.
Step-by-step explanation:
Given:
Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice.
Now, to find the quantity of bottles Alice recycle.
Let the number of bottles recycle by Alice = .
And the number of bottles recycled by Mike = .
So, according to question:
⇒
<em>Dividing both sides by 7 we get:</em>
⇒.
Therefore, the number of bottles recycle by Alice is 21.
Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
