1. irrational
2. irrational
3. rational
4. rational
5. rational
16 balls.
Let's call x the total number of golf balls that Ricardo had before he lost the first 6 balls. (x - 6).
Then he bought 12 more and lost 4 so basically 12 - 4 = 8
Add that to the equation: (x-6) + 8
And now that he has 18 golf balls at end of the second day the total must add to 18.
Full equation: (x-6) + 8 = 18
(x-6) + 8 = 18
(x-6) = 18 - 8 <-- Transpose
(x-6) = 10
16 - 6 = 10 <-- What would x have to be inoder to make this equation true? 16!
So x = 16
16 is the number of golf balls the Ricardo began with.
The surface area of the triangular prism is of 140 cm².
<h3>What is the surface area of a prism?</h3>
It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:
- One rectangle of dimensions 8 cm and 6 + 4 + 5 = 15 cm.
- Two right triangles with sides 4 cm and 5 cm.
For a rectangle, the area is given by the multiplication of the dimensions, hence:
Ar = 8 x 15 = 120 cm²
For each right triangle, the area is given by half the multiplication of the sides, hence:
At = 2 x 0.5 x 4 x 5 = 20 cm².
Then the surface area of the prism is:
S = 120 cm² + 20 cm² = 140 cm².
More can be learned about surface area at brainly.com/question/28123954
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The smallest unit of measure is the millimeter
Hope this helps ;)
ANSWER
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EXPLANATION
The given function is
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When we plug in x=3 into this function, we obtain,
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This means that the function is discontinuous at x=3.
We need to simplify the function to obtain,
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This implies that,

The graph this function is a straight line that is continuous everywhere.
To graph
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we draw the graph of

and leave a hole at x=3.
See diagram in attachment.
Hence the coordinates of hole is