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rusak2 [61]
3 years ago
10

NEED HELP WITH FUNCTIONS

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Answer:

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Find the slope of each line 2-3. please help thank you.
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(-3, 3) (2,0)
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y = 3
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the last side is 30 inches

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Complete the tables of values below.
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Answer:

Step-by-step explanation:

For the second column

1. 4*5+8=28

2. 4*5.5+8=30

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4. 4*6.5+8=34

5. 4*7+8= 36

6. 4*7.5+8=38

For the third column

1. 7*5-11=24

2. 7*5.5-11=27.5

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Marking brainliest <br><br> Please help!
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Think about the way the cupcakes were set up...

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Let f be a continuous function defined on the interval [0,1] such that f(0) = f(1). Show that there exists a number 0 &lt;= a &l
Leni [432]

Explanation:

In order to prove that affirmation, we define the function g over the interval [0, 1/2] with the formula g(x) = f(x+1/2)-f(x) .

If we evaluate g at the  endpoints we have

g(0) = f(1/2)-f(0) = f(1/2) - f(1) (because f(0) = f(1))  

g(1/2) = f(1) - f(1/2) = -g(0)

Since g(1/2) = -g(0), we have one chance out of three

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  • g(0) < 0 and g(1/2) > 0
  • g(0) = g(1/2) = 0

We will prove that g has a zero on [0,1/2]. If g(0) = 0, then it is trivial. If g(0) ≠ 0, then we are in one of the first two cases, and therefore g(0) * g(1/2) < 0. Since f is continuous, so is g. Bolzano's Theorem assures that there exists c in (0,1/2) such that g(c) = 0.  This proves that g has at least one zero on [0,1/2].

Let c be a 0 of g, then we have

0 = g(c) = f(c+1/2)-f(c)

Hence, f(c+1/2) = f(c) as we wanted.

5 0
3 years ago
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