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strojnjashka [21]
1 year ago
7

What is the maximum number of relative extrema contained in the graph of

Mathematics
1 answer:
maxonik [38]1 year ago
5 0

Step-by-step explanation:

an expression (polynomial) with the highest exponent = n has n zeros (solutions, where y = 0, although some of them can be imaginary numbers, or some can fall together into 1 solution).

and it has max. n-1 relative extrema ("bumps" in the curve, where the curve changes direction from up to down or vice versa).

so, in our case of

f(x) = 3x⁵ - x³ + 4x - 2

we have max. 5-1 = 4 relative extrema.

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Encrypt the word TO using an alphabetic Caesar shift cipher with shift 10 (mapping A to K). Use only capital letters in your ans
Lady bird [3.3K]

Answer:

DY

Step-by-step explanation:

TO ENCRYPT TO USING CAESAR ALPHABETIC SHIFT CIPHER OF 10. THIS MEANS WE'RE EXPECTED TO LOOP EVERY ALPHABET BY 10, SKIPPING EVERYONE TILL WE GET TO THE TENTH.

TO ENCRYPT T, WE HAVE

T = U - V - W - X - Y - Z - A - B - C - D

THEREFORE, T WILL BE ENCRYPTED AS D

TO ENCRYPT O, WE HAVE

O = P - Q - R - S - T - U - V - W - X - Y

HENCE, O WILL BE ENCRYPTED AS Y.

THIS MEANS THAT OUR QUESTION, TO, WILL BE ENCRYPTED AS DY

4 0
2 years ago
X/7 = -3<br> 1. x = -21<br> 2. x = -10<br> 3. x = 4<br> 4. x = 21
SOVA2 [1]
X/7= -3
X= -21

Hope this helps!
5 0
2 years ago
the contractor demands a working temperature of 82 degrees Fahrenheit. what is the equivalent temperature in degrees Celsius
stiks02 [169]

Answer:

27.8 Celsius

Step-by-step explanation:

The equation to convert Fahrenheit and Celsius is:

F = (9/5)C + 32

82 = (9/5)C + 32 -- subtract 32 from both sides

50 = (9/5)C -- multiply both sides by 5

250 = 9C -- divide by 9

27.777 = C

round up to 27.8 C

7 0
3 years ago
A kangaroo hops 2 kilometers in 3 minutes. At this rate, how far does the kangaroo travel in 2 minutes? *
Dmitrij [34]

Answer:

At a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would travel 1,333 km.

Step-by-step explanation:

If a kangaroo hops 2 kilometers in 3 minutes, to calculate how much distance this animal hops in 2 minutes, the following calculation should be performed:

2 km / 3 min = 0.666 km per minute (2/3 x 2)

0.666 km per minute x 2 minutes = 1.333 kilometers in 2 minutes (0.666 x 2)

Therefore, at a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would hop 1,333 km.

5 0
3 years ago
Solve 3x-2/4 - 2x-5/3 = 1+x/6
elena-14-01-66 [18.8K]

Answer:

x = 3.8

hope it's helpful ❤❤❤

THANK YOU.

5 0
2 years ago
Read 2 more answers
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