Answer: 
Step-by-step explanation:
<u>Given function expression</u>
f(x) = -5x² - x + 20
Requirement of the question
Find the value of f(3)
<u>Substitute the values into the function</u>
f(x) = -5x² - x + 20
f(3) = -5(3)² - (3) + 20
<u>Simplify the exponents</u>
f(3) = -5(9) - 3 + 20
<u>Simplify by multiplication</u>
f(3) = -45 - 3 + 20
<u>Simplify by subtraction and addition</u>
f(3) = -48 + 20

Hope this helps!! :)
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Answer:


Step-by-step explanation:
<u>Linearization</u>
It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.
Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is

Let's find the linearization for the function

at (0,5) and (75,10)
Computing f'(x)

At x=0:

We find f(0)

Thus the linearization is


Now at x=75:

We find f(75)

Thus the linearization is


Answer:
$50.16
Step-by-step explanation:
There is a sale tax on the item to be purchased, and the tax is 4.5% of the amount of the flag i.e 4.5% × $48.00 = $2.16
After the rate of the sale tax has been changed to dollars, we then add the amount of the sales to the amount of the flag to give the total amount to be paid i.e $2.16 + $48.00 = $50.16
Thank You