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antiseptic1488 [7]
3 years ago
11

If f(x)=4-x^2, find the average rate of change of f(x) from x=-2 to x=0

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0
Just like a line
the slope between the points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
we are given the equation (how to find y1 and y2) and the x1 and x2 (x=-2 and x=0)


so
find y1 and y2
f(-2)=4-(-2)^2=4-4=0
(-2,0)

f(0)=4-0^2=4
(0,4)

slope=(4-0)/(0-(-2))=4/2=2

the average rate of change is 2
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What is 10/8 in simplest form
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10/8 in simplest form:

First, we can start off by finding the GCF of the denominator and the numerator. To do so, we need to list the factors of each of them and find the common ones.

Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8

We can see that our common factors are 1 and 2, considering that both the numerator and denominator has the same factors (1 and 2). Since we have our common factors, we need to find the greatest. Which is the greatest out of 1 and 2? The GCF is 2 because it is bigger than 1.

Second, divide the numerator and the denominator by the GCF (2).
10 \div 2 = 5  \\ 8 \div 2 = 4

Third, now we can revise our fraction and turn it into the simplest form. Take the two numbers you just got above us and put them in their numerator and denominator spot. You should get: \frac{5}{4}

Answer in fraction form: \fbox {5/4}
Answer in decimal form: \fbox {1.25}
Answer in mixed number form: \fbox {1 1/4}
4 0
3 years ago
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Harman [31]

Answer: 0.7893g//mL

If 20 mL of ethanol (density =0.7893g//mL) is mixed with 40mL water (density = 0.9971g//mL)

Step-by-step explanation:

4 0
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victus00 [196]

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scZoUnD [109]
Using binomial distribution where success is the appearing of any of the top 10 most common names, thus probability of success (p) is 9.6% = 0.096 and the probability of failure = 1 - 0.096 = 0.904. Number of trials is 11.
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Probability that none of the top 10 most common names appears is P(0) = 11C0 (0.096)^0 (0.904)^(11 - 0) = (0.904)^11 = 0.3295
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Therefore, I will be supprised that none of the names of the authors were among the 10 most common names given that the probability that at least one of the names appear is 67%.
6 0
3 years ago
Daily Distance Larry Biked (Km)
notsponge [240]

Answer:

The most common distance that Larry biked was of 6 Km.

Step-by-step explanation:

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The number which appears the most frequently is:

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This means that the most common distance that Larry biked was of 6 Km.

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