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Len [333]
3 years ago
13

9. Let f be a continuous function such that f(3) = 4 and f(5)=2. Let h(x)= f(x) + 2x. Explain why

Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Since <em>f(x)</em> is continuous, so is <em>h(x)</em>.

Also, since <em>f</em> (3) = 4 and <em>f</em> (5) = 2, we have

<em>h</em> (3) = <em>f</em> (3) + 2•3 = 4 + 6 = 10

<em>h</em> (5) = <em>f</em> (5) + 2•5 = 2 + 10 = 12

It follows from the intermediate value theorem that there is some <em>t</em> between 3 and 5 such that <em>h(t)</em> is between 10 and 12, and namely there is some <em>t</em> for which <em>h(t)</em> = 11.

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Would like to see the step-by-step how to solve this!
tiny-mole [99]

The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

a) 23 + (-16) + 42 * 5 - (-3)

= 23 - 16 + 210 + 3 = 220

b) -6(12 - 15) + 23

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c) -50 + (-10) + (5 - 3)4

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The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11

Find out more on equation at: brainly.com/question/2972832

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Mr. palmer does an experiment to investigate the effects of distractions on studying and learning. he gives each participant a l
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According to the line of best fit, the number of words a person would remember after being distracted by 7 words will be 5 words. Option B. This is further explained below.

<h3>What is an experiment?</h3>

Generally, an experiment is simply a scientific technique used to produce a discovery, test a hypothesis, or show a previously unknown fact.

In conclusion, the experiment shows that according to the line of best fit 5words will be remembered after being distracted.

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