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
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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:
D. A E
Step-by-step explanation:
BEACAUSE THE A IS NEAR TO THE E
Step-by-step explanation:
x²/(x²-9) + 1/(x-3) = 1/(4x-12)
4x² + 4(x+3) = 1
4x² + 4x + 11 = 0
Since the discriminant is negative, there are no real solutions.
Answer:
<u>
</u>
Step-by-step explanation:
For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:
<u>
for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
<u>
for (-2,4)</u>

This does give 4 as the answer and is a possible solution.
<u>
for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
<u>
for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
The only possible solution is <u>
</u>
There are a couple of things you didn't mention.
In order to come up with an answer to the question,
I have to assume reasonable numbers for them, and
then answer the question that I have invented.
Assumption #1: Each day that you work, you work for 8 hours.
Assumption #2: You work for three days each week.
If those assumptions are true, then you earn
($7.25 / hour) x (8 hours/day) x (3 days/week) x (2 weeks) =
($7.25 x 8 x 3 x 2) = $348 before taxes and other deductions.