28.
2 to the third power is 8. Therefore, the answer is 28.
Hope this helps!
The number of items she should sell from her collection is 24
<h3>How to determine the number of items she should sell from her collection?</h3>
From the question, we have the following parameters that can be used in our computation:
Ratio = Piglets : Books
For 130 piglets and 110 books, we have the following representations
Ratio = 130 : 110
Also, for 13 piglets, we have the following representations
Ratio = 13 : Books
Using the above as a guide, we have the following:
13 : Books = 130 : 110
This can also be rewritten as
Books : 13 = 110 : 130
Multiply the second ratio by 1/10
So. we have
Books : 13 = 11 : 13
By comparison, we have
Books = 11
So, the total items sold is
Items = 11 books + 13 piglets
Evaluate
Items = 24 items
Hence, the number of items is 24
Read more about ratios at
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The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function that has vertex at (2, 6)
The options are:
f(x) = 2|x – 2| – 6
f(x) = 2|x – 2| + 6
f(x) = 2|x + 2| + 6
f(x) = 2|x + 2| – 6
As we know the vertex form of a quadratic function is given by:
f(x) = a(x - h)² + k
Similarly, mod function can be expressed as:
m(x) = a|x - h| + k
Here (h, k) is the vertex of a function.
In the function:
f(x) = 2|x – 2| + 6
The vertex of the function is (2, 6)
Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
Learn more about the function here:
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Answer:
-9/4
Step-by-step explanation:
Slope is equal to the change in y, over the change in x, or rise over run.
x, is the run
y, is the rise
You can substitute the coordinate numbers on the equation to find the slope. which is y2-y1/x2-x1
m= 17-(8)
——
2-(6)
Your answer will be -9/4 (it doesn’t matter where the negative goes, and there’s a negative because 2-6= -4)
Hope this helps.
The correct answer is 3418.801
