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Angelina_Jolie [31]
3 years ago
14

Find all critical numbers for the following function. Then use the​ second-derivative test on each critical number to determine

whether it leads to a local maximum or minimum.

Mathematics
1 answer:
Gelneren [198K]3 years ago
5 0
Critical values are values where f'(x)=0 and the bounds of a function. Thus, let's solve for f'(x)!

f(x)=2x^3-3x^2+3x+8
f'(x)=6x^2-6x+3

Now let's set f'(x)=0

0=6x^2-6x+3
0=2x^2-2x+1

As it turns out, 2x^2-2x+1 isn't factorable!
This saves me some time because this means there are no critical numbers!
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The measures of two supplementary angles total 180 degrees. The measure of angle y is 65 degrees less than the measure of angle
iVinArrow [24]
The measures of the angles are given to be x and y. Since y is 65 degrees less than the measure of angle x then, it can also be expressed as x - 65. The sum of the angles x and y should be 180 degrees as they are supplementary angles, 
                                    x + y = 180
                                   x + (x - 65) = 180
The value of x is 122.5 and that of y is 57.5. Therefore, the measures of the angles are 122.5 and 57.5.
3 0
3 years ago
A certain 90-mile trip took 2 hours. Exactly 1/3 of the distance traveled was by rail and this part of the trip took 1/5 of the
antiseptic1488 [7]

The average rate, in miles per hour, of the rail portion of the trip is; D: 75

<h3>How to calculate the average speed?</h3>

Since exactly 1/3 of the distance travelled was by rail, then we can say that;

(1/3) * (90) = 30 miles

We are told that part of the trip took 1/5 of the travel time. Thus;

Time it takes to travel that distance is:

(1/5) * (2) = 2/5 of an hour

Average rate is;

30/(2/5) = 150/2 = 75 mph

Read more about Average speed at; brainly.com/question/4931057

#SPJ1

7 0
2 years ago
What is this Method???
Rina8888 [55]
Standard algorithm i think 
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3 0
3 years ago
Read 2 more answers
This is simple, but I don't have time to do this now, list the composite numbers from 2-50 please!
Kamila [148]
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50
6 0
3 years ago
5/7 ............. 15/21<br><br> NONE OF THESE<br> EQUAL<br> GREATER THAN<br> LESS THAN
sertanlavr [38]

Answer: EQUAL

Step-by-step explanation:

Just as you can do the same thing to both sides of an equation, you can do the same thing to both sides of a fraction.  15 = 5*3 and 21 = 7*3.  Thus, 5/7=15/21

Hope it helps <3 :)

5 0
3 years ago
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