F(x) is a polynomial with real coefficients. Hence for any real numbers x, ...
• f(x) is a real-valued function
• f(x) is continuous on any closed interval of real numbers, such as [4, 6]
• f(x) is differentiable on any open interval of real numbers, such as (4, 6)
The conclusion is that there exists some "c" such that f'(c) = (f(6) -f(4)/(6 - 4).
The slope of interest is
m = (f(6) -f(4))/(6 -4) = (-44 -(-44))/2 = 0
The slope f'(x) is -20 +4x. It will be zero where
0 = -20 +4x
20 = 4x
5 = x
So, f'(5) = 0 = m
The point "c" of interest is
c = {5}
Since there is 16 fluid ounces in a pint, you would multiply 16x3 which is 48.
Hope this helps!
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Answer:
Step-by-step explanation:
The point means that 15 pounds of beans cost 12 dollars.
Answer:
No invariant point
Step-by-step explanation:
Hello!
When we translate a form, in this case a polygon We must observe the direction of the vector. Since our vector is:
1) Let's apply that translation to this polygon, a square. Check it below:
2) The invariant points are the points that didn't change after the transformation, simply put the points that haven't changed.
Examining the graph, we can see that no, there is not an invariant point, after the translation. There is no common point that belongs to OABC and O'A'B'C' simultaneously. All points moved.
Answer:
4x-y=19, y=4x-19
Step-by-step explanation:
I learned a really quick way to do these in geometry.
Let's use standard form or ax+by=c.
Slope of 4: 4x - y = c.
Passes through point 6,5.
4(6) - 5 = c
c= 24-5
c=19
4x-y=19
y=4x-19