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tresset_1 [31]
2 years ago
11

Based on the polynomial remainder theorem, what is the value of the function when x = 4?

Mathematics
1 answer:
ipn [44]2 years ago
4 0

Answer:

124

Step-by-step explanation:

When x=4, substitute 4 into the function to give f(4).

f(4) = (4)^4 - 2(4)^3 + 5(4)^2 -20(4) -4\\f(4) = 256 - 2(64) + 5(16) - 80 -4\\f(4) = 256 -128 + 80 - 80 -4\\f(4) = 128+80-80-4\\f(4) = 208-80-4\\f(4) = 128-4\\f(4) = 124

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2 years ago
Given the following equation, at what point will the graph intersect? f(x) =5x+1 g(x)= -2x+15
Andru [333]

Answer: (2,11)

Step-by-step explanation:

To find the point where the functions will intersect, we want to find the place that they are equal to each other. We do this by setting the equations equal to each other.

5x+1=-2x+15                       [add both sides by 2x]

7x+1=15                               [subtract both sides by 1]

7x=14                                  [divide both sides by 7]

x=2

Now, we know that the functions intersect at x=2. To find the point, we would plug x back into both equations to ensure that the points are the same.

f(2)=5(2)+1                         [multiply]

f(2)=10+1                            [add]

f(2)=11

The point on f(x) is (2,11).

g(2)=-2(2)+15                    [multiply]

g(2)=-4+15                         [add]

g(2)=11

The point on g(x) is (2,11).

Since the point at x=2 is the same for f(x) and g(x), we know that the graph intersects at (2,11).

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Since the height is in meters, we will convert it to cm.  3.5 m = 350 cm.
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This gives us:
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a person bought 8 items at a market and received $8 in change. if each item was priced at $4, how much did the person give the v
mariarad [96]

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How do you simplify 19/228
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Read 2 more answers
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