Answer:
C. g(x) eventually exceeds f(x) because g(x) is increasing exponentially
Step-by-step explanation:
Comments on the other choices:
A -- an exponential function eventually exceeds any polynomial function. (A linear function is a polynomial of degree 1.)
B -- at x=13, f(x) = 17; g(x) ≈ 18.2, so g(x) is more
D -- over the given interval, the average rate of change of g(x) is about 1/2 (1 unit rise for 2 units run) compared to the slope of 1 that f(x) has.
<u>Your question:</u> The amount of water leaking from a water tank can be modeled with the function f(x) = −x3 − 10x2 − x + 120, where x measures the number of minutes since the leak began and f(x) measures the volume of the tank. During what time period is there water in the tank? (0, 3) (0, 3]
(0, 3) is the best answer
Answer:
Step-by-step explanation:
let the unknown number be <em>x</em>
<em>
</em>
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<em>Can</em><em> </em><em>I</em><em> </em><em>have</em><em> </em><em>the</em><em> </em><em>brainliest</em><em> </em><em>please</em><em>?</em>
<em>Have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em><em> </em>
In a triangle, each exterior angle<span> has 2 </span><span>remote interior angles
Remote interior angles of <1 are <5 and <6
Answer
B. <5
C< 6</span>
Answer:4
,
5
)
Step-by-step explanation:
See a solution process below:
Explanation:
First, subtract
3
from each segment of the system of inequalities to isolate the
x
term while keeping the system balanced:
−
3
−
12
<
−
3
+
3
−
3
x
≤
−
3
+
15
−
15
<
0
−
3
x
≤
12
−
15
<
−
3
x
≤
12
Now, divide each segment by
−
3
to solve for
x
while keeping the system balanced. However, because we are multiplying or dividing inequalities by a negative number we must reverse the inequality operators:
−
15
−
3
>
−
3
x
−
3
≥
12
−
3
5
>
−
3
x
−
3
≥
−
4
5
>
x
≥
−
4
Or
x
<
5
and
x
≥
−
4
Or, in interval notation:
[
−
4
,
5
)
