Given the function h(x)=x2+6x+6h(x)=x^2+6x+6h(x)=x2+6x+6, determine the average rate of change of the function over the interval
1 answer:
Answer:
<h2>The answer is -11.</h2>Step-by-step explanation:
The function is given by .
Rate of change refers to the ratio between the change of the dependent variable with the change of independent variable.
The minimum value of x is -7 and the maximum value is 2.
h(-7) = 49 + 42 + 6 = 97.
h(2) = 4 - 12 + 6 = -2.
The average rate of change is .
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Answer:
Heidi (260 cookies)
Step-by-step explanation:
Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:
#First calculate Heidi's total number of bags, cookies and cookies:
#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:
Hence, Megan makes 416 cookies.
#From our calculations:
Hence, Heidi makes the least number of cookies(260 cookies) compared to Megan's 416 cookies.
The line that passes through (-2, 1) and (8, 2) is:
y = (1/10)*x + 12/10
<h3>How to find the equation of the line?</h3>I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).
A general linear equation is written as:
y = a*x + b
If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:
In this case, we know that it passes through (-2, 1) and (8, 2), then:
Then the line is:
y = (1/10)*x + b
To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.
2 = (1/10)*8 + b
2 - 8/10 = b
20/10 - 8/10 = b
12/10 = b
Then the linear equation is:
y = (1/10)*x + 12/10
If you want to learn more about linear equations:
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