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 ...

from which you have correctly determined that ...

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
__
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
You can answer this question in numerous ways but one simple way is by multiplying fractions.
<span>2/3 of 24 is also 2/3 of 24/1 </span>
<span>To get the answer, you must multiply 2/3 by 24/1 </span>
<span>To do this, you multiply the numerator (the top number) by the other numerator. That is, 2 x 24 . The answer is 48. </span>
<span>Then, multiply the denominators (the bottom numbers) by each other. That is, 3 x 1. The answer is 3. </span>
<span>The answer is 48/3. But you must continue simplifying. </span>
<span>What is 48 divided by 3? 16. </span>
<span>If you do not understand it that way, think of it in a simpler way. </span>
<span>Say there are 24 slices of pieces. </span>
<span>What is one third of those 24 slices? </span>
<span>24 divided by 3 = 8. </span>
<span>Now you want TWO thirds. So all you do is multiply 8 by 2. </span>
<span>That gives you 16.
</span>
I hope i helped, and, if so, please mark as brainliest :P
Y=5 because you add 4+1=5
Between "my" age and "my" step sisters' age there is 7 years, the range is 7 years
Hope this helps
-GoldenWolfX
Answer:
a. 76 b. 52
Step-by-step explanation:
The perimeter of a rectangle is the sum of its four sides.
Now all rectangles have a width and a length.
To find the perimeter it is 2 width + 2 length or 2W +2L.
So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L
Then...
2(76) + 2L = 344 multiply 2 and 76
2L + 152 = 344 subtract 152 from both sides
2L = 192 divide both sides by 2
L = 96
The length is 96.
The equation of an area of a rectangle is A or area = width x length or W x L
So the equation is A = W x L
If the area is 4732 and the length is 91 then
91W = 4732 divide both sides by 91
W = 52
The width is 52.
Hope that helps, good luck with your homework!