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By means of <em>functions</em> theory and the characteristics of <em>linear</em> equations, the <em>absolute</em> extrema of the <em>linear</em> equation f(x) = - 3 · x + 3 are 27 (<em>absolute</em> maximum) for x = - 8 and - 9 (<em>absolute</em> minimum) for x = 4. (- 8, 27) and (4, - 9).
<h3>What are the absolute extrema of a linear equation within a closed interval?</h3>
According to the functions theory, <em>linear</em> equations have no absolute extrema for all <em>real</em> numbers, but things are different for any <em>closed</em> interval as <em>absolute</em> extrema are the ends of <em>linear</em> function. Now we proceed to evaluate the function at each point:
Absolute maximum
f(- 8) = - 3 · (- 8) + 3
f(- 8) = 27
Absolute minimum
f(4) = - 3 · 4 + 3
f(4) = - 9
By means of <em>functions</em> theory and the characteristics of <em>linear</em> equations, the <em>absolute</em> extrema of the <em>linear</em> equation f(x) = - 3 · x + 3 are 27 (<em>absolute</em> maximum) for x = - 8 and - 9 (<em>absolute</em> minimum) for x = 4. (- 8, 27) and (4, - 9).
To learn more on absolute extrema: brainly.com/question/2272467
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Answer:
Answer:age of new student is 13.4 years
Step-by-step explanation:
SUM of ages all 40 students =average age times 40
=15*40=600
after leaving 18 years old student
SUM of ages of 39 students will be 600-18=582
after adding new student with age x
SUM of ages of 40 students will become 582+x
and the average would be (582+x)/40
which is given as 14.885
so we get equation
(582+x)/40=14.885
582+x=14.885*40=595.4
x=595.4-582
x= 13.4
age of new student is 13.4 years
Hope it will help you
Please mark as brainliest answer
Answer:
A = 13 degrees
B = 65.3 degrees
C = 180 - (13 + 65.3) = 101.7 degrees
Side a = 35 km
Side b = 141.4 km
Side c = 152.4 km
Answer:
$323
Step-by-step explanation:
Hello! First you would need to divide $171 by 9 to see how much money she makes an hour....
$171 / 9 = $19 an hour
Now that you know how much she makes an hour, multiply that amount by 17 to find out how much money she will make if she works for 17 hours.
$19 * 17 = $323
She will make $323 if she works for 17 hrs. :)
Hope this helps!
-Mikayla