Answer:
4
Step-by-step explanation:
h(7)= 7²-1= 49-1= 48
f(h(7))= 48/3 -12
= 16-12
= 4
You can write it by putting 55 over 100 and simplify then you get an answer of 11 over 20.
X would equal 9. Subtract 18 from both sides then divide by two to get 9 as X
Answer:
the linearization is y = 1/4x +5/4
the linearization will produce <em>overestimates</em>
the values computed from this linearization are ...
f(3.98) ≈ 2.245
f(4.05) ≈ 2.2625
Step-by-step explanation:
Apparently, you have ...
![f(x)=\sqrt{x+1}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7Bx%2B1%7D)
from which you have correctly determined that ...
![f'(x)=\dfrac{1}{2\sqrt{x+1}}](https://tex.z-dn.net/?f=f%27%28x%29%3D%5Cdfrac%7B1%7D%7B2%5Csqrt%7Bx%2B1%7D%7D)
so that f(3) = 2 and f'(3) = 1/4. Putting these values into the point-slope form of the equation of a line, we get the linearization ...
g(x) = (1/4)(x -3) +2
g(x) = (1/4)x +5/4
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The values from this linearization will be overestimates, as the curve f(x) is concave downward everywhere. The tangent (linearization) is necessarily above the curve everywhere.
__
At the given values, we find ...
g(3.98) = 2.245
g(4.05) = 2.2625
Answer:
![0.09 < 0.1](https://tex.z-dn.net/?f=0.09%20%3C%200.1)
Step-by-step explanation:
Remember that it doesn't matter how many numbers are after the tenths place of a decimal point what matters is the tenths place itself. If you have a decimal that has dozens of numbers but it's tenth place is a 3 and then you have a decimal with 5 numbers in whole but it's tenths place is 4, the 4 is greater then the 3 simply because it's greater in tenths.
Hope this helps.