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3 years ago

Calculate the average rate of change over the interval 2

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

8 0

Answer:

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5: 3

y = 3x^2 + 1: 21

y = 3^x: 78

Step-by-step explanation:

2<= x <= 5

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5

y(5) = 3(5) + 5 = 20

y(2) = 3(2) + 5 = 11

Average rate of change = (20 - 11)/(5-2) = 9/3 = 3

y = 3x^2 + 1

y(5) = 3(5^2) + 1 = 75 + 1 = 76

y(2) = 3(2^2) + 1= 13

Average rate of change = (76 - 13)/(5-2) = 63/3 = 21

y = 3^x

y(5) = 3^5 = 243

y(2) = 3^2 =9

Average rate of change = (243-9)/(5-2) = 234/3 = 78

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3. A research study asked children which of four different emotions they associated with the color red. The response and gender

user100 [1]

Answer:

This is required solution

Step-by-step explanation:

Given that:

for male

joy = 28

happiness = 20

love = 40

anger = 18

a] we need to calculate the percentage of emotions for the male

using formula for percentage

$\percentage\ of\ emotions=\dfrac{emotion}{total\ emotions}\times100$

percentage of joy = $\dfrac{28}{106}\times100$

percentage of joy = 26.41

percentage of happiness = $\dfrac{20}{106}\times100$

percentage of happiness = 18.86

percentage of love = $\dfrac{40}{106}\times100$

percentage of love = 37.73

percentage of anger = $\dfrac{18}{106}\times100$

percentage of anger = 16.98

for female

joy = 61

happiness = 25

love = 80

anger = 60

we need to calculate the percentage of emotions for the female

using formula for percentage

$\percentage\ of\ emotions=\dfrac{emotion}{total\ emotions}\times100$

percentage of joy = $\dfrac{61}{226}\times100$

percentage of joy = 26.99

percentage of happiness = $\dfrac{25}{226}\times100$

percentage of happiness = 11.06

percentage of love = $\dfrac{80}{226}\times100$

percentage of love = 35.39

percentage of anger = $\dfrac{60}{226}\times100$

percentage of anger = 26.54

B] We need to draw a bar graph for male and female

using percentage of emotion of male and female

according to using percentage we draw a bar graph using data of part A.

Hence, this is required solution

7 0

4 years ago

Ben has b dollars. Cam has 7 fewer dollars than Ben. How many dollars does Cam have? Write your answer as an expression.

Citrus2011 [14]

B - 7
B is the number of dollars Ben has and Cam has 7 less so you just subtract 7 from b

7 0

3 years ago

Read 2 more answers

Math To Do, i-Ready

marysya [2.9K]

Answer:

The price before tip ,Mrs. Henry's move is 351.9 $

Step-by-step explanation:

Given:

Total bills of 414 $ in which 15 % is tip

To Find:

What is the price before tip, Mrs. Henry's move

Solution:

Total bill amount is 414$

And 15 % is tip bill and 85 % is bill before tip

So,

85 % of total bill can give price before tip

calculate 15 % and subtract from total bill.

So 85 % of 414=0.85 *414

=351.9 $

15 % 414=0.15 *414

=62.1 $

Price before Tip is =414$ -62.1 $

=351.9$

So BY Both ways we can get same answer i.e. 351.9 $

8 0

3 years ago

Read 2 more answers

What is an equation that represents a non proportional relationship???

Dvinal [7]

When b does not equal 0 it’s a non proportional relationship
y=mx+b

8 0

3 years ago

Find the simplified form of the expression give your answer in scientific notation (3 x 10^8)(9 x 10^7)

Mazyrski [523]

(3 x 10^8)(9 x 10^7)
=(3x9)(10^8x10^7)
= 27 x 10^15
= 2.7 x 10^16

answer
2.7 x 10^16

5 0

3 years ago