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Dmitriy789 [7]
4 years ago
9

Determine all critical points for the function. f(x)=(x-10)^5

Mathematics
1 answer:
nikdorinn [45]4 years ago
7 0
A critical point is just where a graph's slope is = to 0, so you can take the derivative of that function and set it equal to 0.

Using the chain rule:
f'(x) = 5(x-10)^4
0 = 5(x-10)^4

divide by 5 on both sides and take the 4th root of both sides.

0 = x - 10

add ten on both sides, and x = 10. Now, plug the x-value back into the original (you want to find the y-value on the original function ,not the derivative).

y = (10-10)^5 = 0

(10,0)
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kirza4 [7]

Answer:

f(8)=4

Step-by-step explanation:

Put the equation in y=mx+b

-3x+12y=24

Add 3x to both sides

12y=3x+24

Divide 12 on both sides

y=3/12x+2

Simplify the fraction

y=1/4x+2

Substitute 8 for x

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So, f(8)=4

Hope this helps! :)

7 0
4 years ago
75=(14y+5)<br> Please help me i cant figure this out
zalisa [80]

75=14y+5

or, -14y=5-75

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6 0
3 years ago
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LUCKY_DIMON [66]
Triangle is equilateral with sides of 6.
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3 years ago
Donny has three times as many candy canes as Marc. Marc has thirty more candy canes than Bob. They have 500 candy canes altogeth
VashaNatasha [74]

Answer:

318

Step-by-step explanation:

Bob=x

Marc=x+30

Donny=3(x+30)

x+x+30+3x+90=500

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x=76

Bob has x = 76

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4 0
3 years ago
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just olya [345]

Answer:

2x2x2x2.

Step-by-step explanation:

.

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