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timurjin [86]
3 years ago
5

PLEASE HELP FOR A QUIZ !!!! 40 POINTS

Mathematics
2 answers:
ki77a [65]3 years ago
6 0
It's A or B most likely B tho
Inessa05 [86]3 years ago
4 0
6 more than one-fifth (1/5) would be 1/5x + 6 

The correct answer is B. 1/5x + 6 

Hope this helps! 

<em>~ ShadowXReaper069</em>


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Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and the local extrema. f (x )equa
Kaylis [27]

Answer:

f(x) is increasing in the intervals (-∞,-4) and (9,∞)

f(x) is decreasing in the ingercal (-4,9)

The local extrema is:

local max at (-4,496)

and local min at (9,-1701)

Step-by-step explanation:

In order to solve this problem we must start by finding the derivative of the provided function, which we can find by using the power rule.

if f(x)=ax^{n} then f'(x)=anx^{n-1}

so we get:

f(x)=2x^{3}-15x^{2}-216x

f'(x)=6x^{2}-30x-216

in order to find the critical points we mus set the derivative equal to zero, since the local max an min will happen when the slope of the tangent line to the given point is zero, so we get:

6x^{2}-30x-216=0

we can solve this by factoring, so let's factor that equation:

6(x+4)(x-9)=0

we can now set each of the factors equal to zero so we get:

x+4=0 and x-9=0

when solving each for x we get that:

x=-4 and x=9

These are our critical points, now we can build the possible intervals we are going to use to determine where the function will be increasing and where it will be decreasing:

(-∞,-4), (-4,9) and (9,∞)

so now we need to test these intervals in the derivative to see if the graph will be increasing or decreasing in the given intervals. So let's pick x=-5 for the first one, x=0 for the second one and x=10 for the third one.

When evaluating them into the first derivative we get that:

f'(-5)=84, this is a positive answer so it means that the function is increasing in the interval (-∞,--4)

f'(0)=-216, this is a negative anser so it means that the function is decreasing in the interval (-4,9)

f'(10)=84, this is a positive answer so it means that the function is increasing in the interval (9,∞)

Now, for the local extrema, we can see that at x=-4, the function it's increasing on the left of this point while it's decreasing to the right, which means that there will be a local maximum at x=-4, so the local max is the point (-4,496)

We can see that at x=9, the function it's decreasing on the left of this point while it's increasing to the right, which means that there will be a local minimum at x=-9, so the local min is the point (9,-1701)

7 0
3 years ago
a manufacturing company with 450 employees begins a new product line and mist increase their number of employees by 18%. how man
Mamont248 [21]

Answer

531

Step by step

  1. Calculate 18% of 450, 450/1 * 18/100=81
  2. Add 81 to 450, 450+81=531
4 0
3 years ago
Value of x in 2x-7=35 is​
Reika [66]

Answer:

x=21

Step-by-step explanation:

2x - 7 = 35

    +7    +7

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

2x = 42

-----   -----

 2      2

  x = 21

The answer is 21, hope this helps.

4 0
3 years ago
Read 2 more answers
Evaluate 2-(-4) + (-g) where y= 7.
Phantasy [73]

Answer:

<h2>-1</h2>

Step-by-step explanation:

2 - (-4) + (-y)

Substitute y = 7 to the expression:

2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1

4 0
2 years ago
Barney ate 21 M&amp;M's. If he ate 15% of the bag of M&amp;M's, how many were in the bag to start?
natali 33 [55]

Answer:

3.15

i just used the calculater :)

8 0
3 years ago
Read 2 more answers
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