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2 years ago

What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?

Mathematics

1 answer:

julsineya [31]2 years ago

6 0

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function between x = a and x = b will be,

Average rate of change = $\frac{f(b)-f(a)}{b-a}$

We have to calculate average rate of change of the given quadratic function between x = 0 and x = 2.

From the given graph,

f(2) = 6

f(0) = 10

Therefore, average rate of change = $\frac{f(2)-f(0)}{2-0}$

= $\frac{10-6}{2-0}$

= 2

Option B will be the answer.

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The ratio of two side lengths for the triangle is given. What is the value of “q” AB:BC is 3:4

Vera_Pavlovna [14]

Answer:

$q=8.5$

Step-by-step explanation:

The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

$\frac{AB}{BC}=\frac{3}{4}$

Substitute,

$\frac{60}{10q+15}=\frac{3}{4}$

Cross products,

$\frac{60}{10q+15}=\frac{3}{4}$

$(60)(4)=(10q+15)(3)\\\\240=30q+45$

Inverse operations,

$240=30q+45\\\\195=30q\\\\8.5=q$

4 0

2 years ago

Need help please show how to complete

Mice21 [21]

Answer: 4). A = (b1 + b2)h/2
5).
A = (b x h)/2
6). A = b x h
7). A = b x h = 65 x 50 = 3250 ft^2
8). A = (b x h)/2 = (12 x 18)/2 = 108 inches^2
9). A = (b1 + b2)h/2 = (15 + 7)4/2 = 44m^2

8 0

3 years ago

Read 2 more answers

Rick cuts a 12-foot-long ribbon into 2 pieces. One piece is 3.5 feet longer than the other. What is the length of each piece?

GREYUIT [131]

Its impossible there is no way to solve it because x+3.5= y no number can make 12 if one number is 3.5 ft longer than the other Ignore this i dont feel like erasing this part.

144 in. 42 in. greater than the other 42 + x = y Nvm if you convert the numbers too in. the numbers are 93 + 51 = 144 and if you convert it back it would be

7.75 + 4.25 = 12

3 0

2 years ago

Dr. Goodrich wanted to demonstrate that his tires were better than those of his competitor, Dr. Goodyear. From car registration

dem82 [27]

Answer:

Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving

Step-by-step explanation:

Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.

Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear

Dependent Variable is the 'Tire tread wear '.
Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc

Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.

In this case : Individuals driving the vehicles could be a confounding variable. A particular person could wear out tire more than another person.

6 0

3 years ago

82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85 order from least to greatest find the The median of the lower half of the data an

Studentka2010 [4]

Answer:

The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Step-by-step explanation:

Step 1: Order from least to greatest

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Step 2: Determine the median of the lower half of the data

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data. So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.

(62 + 72) / 2 = 67

Step 3: Determine the median of the upper half of the data

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.

(89 + 95) / 2 = 92

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

5 0

2 years ago