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Bogdan [553]
3 years ago
6

Given the following polynomial find the maximum possible number of turning points

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0
f'(x)=6x^5+10x^9+9x^8+10x^9=20x^9+9x^8+6x^5

The degree of the derivative is 9, so t<span>he maximum possible number of turning points is 9.</span>
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Determine whether the statements are True or False. Justify your answer with an explanation.
frez [133]

Problem 1

<h3>Answer: False</h3>

---------------------------------

Explanation:

The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.

So,

f(x) = x+1

f( g(x) ) = g(x) + 1 .... replace every x with g(x)

f( g(x) ) = 6x+1 ... plug in g(x) = 6x

(f o g)(x) = 6x+1

Now let's flip things around

g(x) = 6x

g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)

g( f(x) ) = 6(x+1) .... plug in f(x) = x+1

g( f(x) ) = 6x+6

(g o f)(x) = 6x+6

This shows that (f o g)(x) = (g o f)(x)  is a false equation for the given f(x) and g(x) functions.

===============================================

Problem 2

<h3>Answer: True</h3>

---------------------------------

Explanation:

Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.

For example, let

f(x) = 1/(x+2)

g(x) = -2

The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.

So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).

7 0
3 years ago
Answer to 42.7 -(-12.4)
Aleks [24]
<span>42.7−<span>(<span>−12.4</span>)

</span></span><span>=<span>42.7−<span>(<span>−12.4</span>)

</span></span></span><span>=<span>42.7+12.4

</span></span><span>=<span>55.1</span></span>
4 0
3 years ago
Which expression is equivalent to -6x^3 • x • y^2 • y^6?
Georgia [21]

Use the Product Rule: x^ax^b = x^a + b

6x^3 + 1y^2 + 6

Simplify 3 + 1 to 4

6x^4y^2 + 6

Simplify 2 + 6 to 8

<u>= C) 6x^4 y^8</u>

4 0
3 years ago
The table shows how the time it takes a train to travel between two cities depends on its average speed.
Ivahew [28]

Answer:

y=\frac{160}{x}

Step-by-step explanation:

The table shows how the time it takes a train to travel between two cities depends on its average speed.

function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour

y represents the time

and x represents the average speed

WE know distance = speed * times

LEts find the distance using the table

distance = 32* 5= 160

40*4= 160

50*3.2 = 160

Time = distance / speed

times is y , distance is 160  and speed is x

y=\frac{160}{x}

6 0
3 years ago
Read 2 more answers
7.6 x 103^3 in standard form
Sever21 [200]

Answer:

8304725.2x

Step-by-step explanation:

Hope this helps. Plz give brainliest.

8 0
3 years ago
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