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Jlenok [28]
3 years ago
9

Consider the function f(x)=x^2−4x+3 on the interval [0,4]. Verify that this function satisfies the three hypotheses of Rolle's T

heorem on the interval.
f(x) is _______ on [0,4]
f(x) is _______ on (0,4)
f(0) = f(4)= ?

Then by Rolle's theorem, there exists a c such that f′(c)=0. Find the value c.
Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

The following are the answers to the questions presented:

f(x) is defined on [0,4]

f(x) is continuous on (0,4)

<span>f(0) = f(4)= </span>3

c= 2

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

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What is the approximate value of 113−−−√ to the nearest tenth?
castortr0y [4]

Answer:

10.6

Step-by-step explanation:

1. First, we need to find which digits √(113) is between, and that would be 10 and 11.

2. Okay, so √(113) is between 10 and 11, meaning 113 is between 100 and 121.

3. Since 113 is a little over half between 100 and 121, let's multiply 10.6 by 10.6 to see how close we are to 113:

  • 10.6 * 10.6
  • 112.36

4. 112.36 is pretty close to 113, therefore, the dot on the number-line should be placed at 10.6.

7 0
3 years ago
Sami made 23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What was his
xxTIMURxx [149]

Answer:

$15 per hour

Step-by-step explanation:

30 hours per week x 52 weeks in a year = 1560 hours per year

23,400 / 1560 = $15 per hour

7 0
3 years ago
6n+n+14=0 i need the math
Fofino [41]
Let's solve your equation step-by-step.<span><span><span><span>6n</span>+n</span>+14</span>=0</span>

Step 1: Simplify both sides of the equation.<span><span><span><span>6n</span>+n</span>+14</span>=0</span><span>Simplify: (Show steps)</span><span><span><span>7n</span>+14</span>=0</span>

Step 2: Subtract 14 from both sides.<span><span><span><span>7n</span>+14</span>−14</span>=<span>0−14</span></span><span><span>7n</span>=<span>−14</span></span>

Step 3: Divide both sides by 7.<span><span><span>7n</span>7</span>=<span><span>−14</span>7</span></span><span>n=<span>−2</span></span>

Answer:<span>n=<span>−<span>2</span></span></span>
6 0
3 years ago
Simplify:
OLEGan [10]
15x4y2 letter B is your answer
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3 years ago
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Need help on my math test. Any Answers?
nasty-shy [4]

Answer:

use symbolab

Step-by-step explanation:

6 0
3 years ago
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