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2 years ago

Describe how to find the average rate of change between x=3 and x=5 for the function f(x)= 3x^3+2

Mathematics

1 answer:

Anastasy [175]2 years ago

5 0

Answer:

We'll use the traditional "slope" formula, evaluating

$\frac{f(5) - f(3)}{5-3}$

To find f(5), plug in x = 5 to f(x).

3(5)^3 + 2 = 377

Same thing for f(3)

3(3)^3 + 2 = 83

$\frac{377-83}{5-3} = \frac{294}{2} = 147$

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Consider the probability that more than 99 out of 157 software users will not call technical support. Assume the probability tha

Rainbow [258]

Answer:

$P(x>99)= 0.468$

Step-by-step explanation:

From the question we are told that:

Sample size 157

Sample mean

$\=x =np$

$\=x =157*0.56$

$\=x = 87.92$

Generally the equation for Standard deviation is mathematically given by

$\sigma=\sqrt{npq}$

$\sigma=\sqrt{157*0.56*0.44}$

$\sigma =6.22$

Therefore

$P(x>99)=P(z>(\frac{99.5-87.92)}{6.22})$

$P(x>99)=P(z>1.86)$

$P(x>99)= 0.468$

8 0

2 years ago

Eight less than three times a number

seraphim [82]

Answer:

3n-8

Step-by-step explanation:

Let n be our number

3 times n

eight less than

3n-8

4 0

3 years ago

What is the answer for part b

trasher [3.6K]

Answer:

(-3,-10)

Step-by-step explanation:

Given part a, you seem to know the midpoint formula. We can easily edit that to figure out what an endpoint is. Say that a variable "a" represents the x coordinate of D, and b the y coordinate. As the x coordinate of M is 0.5, and the x coordinate of C is 2, we can use the midpoint formula to say that $\frac{a+2}{2} =-0.5$ . Multiplying both side by 2, we get that a+2=-1, and subtracting both sides by 2, a=-3. Similarly, $\frac{b+7}{2} =-1.5$ , b+7=-3, and b=-10, making our answer (-3, -10). Let me know if you have any questions.

5 0

3 years ago

A certain book is for sale in both Belize and Brazil. In Belize, it sells for 80.39 Belize dollars. In Brazil, it sells for 63.6

bixtya [17]

A book is sold in Belize for 80.39 Belize dollars.
In Brazil, it sells for 63.65 Brazilian reals.

The exchange rate of US Dollars to Belize Dollars is 1:1.9246
The exchange rate of US Dollars to Brazilian Real is 1:1.7880

If we convert the two into dollars,
Belize Dollars
1 : 1.9246 = X : 80.39
1.9246X = 80.39
X = $ 41.77

Brazilian Real
1 : 1.7880 = X : 63.65 
1.7880X = 63.65 
X = $ 35.60

Difference = $ 41.77 - $ 35.60
Difference = $ 6.17

So, in Belize the book is more expensive by $ 6.17

7 0

3 years ago

Ryan set a table with a fork, knife, and spoon for each dinner guest. He used a total of 36 pieces of silverware. Which number s

Crazy boy [7]

Answer: 12 guests

Step-by-step explanation:

Take 36 (silverware) and divide by three (spoon fork and knife) and you will get 12!

3 0

3 years ago