Step-by-step explanation:
We are given that x < 13 so: x equals every number <u>below</u> 13. For the table:
x
9 YES because 9 < 13
11 YES because 11 < 13
15 NO because 15 is NOT less than 13
19 NO because 19 is NOT less than 13
A certain allergen affects approximately 7 people per 10,000 in the United States. Assuming the U.S. population is approximately 324 million people, how many people suffer from this allergen?
A certain allergen affects approximately 7 people per 10,000 in the United States. Assuming the U.S. population is approximately 324 million people, how many people suffer from this allergen?
Answer:
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Step-by-step explanation:
(-5, 15)
This is because y = 11 is a flat line that is 4 away from the point. Thus, the new point must also be 4 away from the line.
You can use the definition:

Then if

we have

Then the derivative is

I'm guessing the second part of the question asks you to find the tangent line to <em>f(x)</em> at the point <em>a</em> = 0. The slope of the tangent line to this point is

and when <em>a</em> = 0, we have <em>f(a)</em> = <em>f</em> (0) = -2, so the graph of <em>f(x)</em> passes through the point (0, -2).
Use the point-slope formula to get the equation of the tangent line:
<em>y</em> - (-2) = 3 (<em>x</em> - 0)
<em>y</em> + 2 = 3<em>x</em>
<em>y</em> = 3<em>x</em> - 2