Hey, what is 2000x5?
1 answer:
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Answer:
<em>f(-5)=149603</em>
Step-by-step explanation:
<u>Synthetic Substitution</u>
It's a method to find the value of a polynomial for a given value of x. The polynomial we want to evaluate is
at x=-5
We can, of course, just replace x for -5 and compute the powers, products and sums and subtractions, but we can use the synthetic substitution to avoid the powers, just by multiplying and adding or subtracting. The method requires us to use only the coefficients of the ordered and complete polynomial as shown:
-1 4 -4 -6 -3 -6 -1 -2
Now we set up an arrangement where we can place some operations
-1 4 -4 -6 -3 -6 -1 -2
-5
The second row and a new third row will be filled by computing values as explained below.
The first value of the third row is the very same first coefficient (-1)
-1 4 -4 -6 -3 -6 -1 -2
-5
-1
The second value of the second row is the -5 times the first value of the third row: (-5)(-1)=5
Next value of the third row is the sum of the values above of it: 4+5=9
-1 4 -4 -6 -3 -6 -1 -2
-5 5
-1 9
Now we proceed the same with next values to get the full arrangement or synthetic substitution
-1 4 -4 -6 -3 -6 -1 -2
-5 5 -45 245 -1195 5990 -29920 149605
-1 9 -49 239 -1198 5984 -29921 149603
The very last value of the third row is the required substitution
f(-5)=149603
The formatted table can be seen in the image below
Answer:
105in²
Step-by-step explanation:
Surface area is the total area of the faces.
The faces of pyramid consist of triangles and a square
The area of a square can easily be calculated by squaring the side length
the square of this pyramid has a side length of 5
so
area of square = 5²
5² = 25
the area of the square is 25in²
Now to find the area of the triangles
All we have to do is find the area of one triangle and multiply that buy 4 ( because there are four triangle)
the area of a triangle can be calculated using this formula :
where b = base and h = height
The triangles have a base length of 5 in and a height of 8 in
so
So the area of one triangle is 20 in²
Now we multiply 20 by 4 to find the area of all 4 triangles
20 * 4 = 80
So the total area of the triangles is 80in²
Finally we add the two areas together
Surface area = 80 + 25
80 + 25 = 105
Hence, the surface area is 105in²