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The expression that is equivalent to the given expression is -4x^-5
<h3>How to determine which expression is equivalent to the given expression?</h3>The expression is given as:
Rewrite properly as
-4x^-5x^0
Express as products
-4x^-5 * x^0
The value of x^0 is 1
So, we have:
-4x^-5 * 1
Evaluate the product
-4x^-5
Hence, the expression that is equivalent to the given expression is -4x^-5
Read more about equivalent expressions at:
#SPJ1
Transformation that changes the size of a shape is referred to as dilation.
- The scale factor that moves the large triangle to the small one is 1/5
- The center of dilation is: (-1,1)
<u>The center of dilation</u>
From the diagram (see attachment), the triangles share a common vertex at (-1,1)
This means that, the center of dilation is (-1,1)
<u>The scale factor of dilation</u>
To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.
From the attached image:
So, the scale factor (k) from large to small is:
Read more about dilation at:
For this case we have the following polynomial:
What we must do for this case is to factor the polynomial, so that we have:
1) The number of bottles
2) the weight of each bottle.
We have then:
Answer:
A factorization that could represent the number of water bottles and weight of each water bottle is: