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SIZIF [17.4K]
3 years ago
10

The minimum value of the slope of the curve y=x^5+x^3−2x is: A. 0

Mathematics
1 answer:
patriot [66]3 years ago
6 0
The given curve is --- y = x^5 + x^3 - 2x 

<span>First derivative to this curve is y' = 5 x^4 + 3 x^2 - 2 </span>

<span>=> Slope (m) = 5 x^4 + 3 x^2 - 2 </span>

<span>For the minimum value of m we calculate dm/dx and put it = 0 </span>

<span>=> d( 5 x^4 + 3 x^2 - 2 ) / dx = 0 </span>

<span>=> 20 x^2 + 6 x = 0 </span>

<span>=> x ( 20 x + 6 ) = 0 </span>

<span>Turning values of x are 0 and - 6 / 20 = ( - 3 / 10 ) </span>

<span>At x = 0 , m = - 2 </span>

<span>and at x = - 3/10 </span>

<span>m = 5 x^4 + 3 x^2 - 2 </span>

<span>=> m = 5 ( - 3 / 10 )^4 + 3 ( - 3 / 10 )^2 - 2 = - 1.68 </span>

<span>Hence at turning points, the slope is minimum at x = 0 and is equal to = - 2 </span>

<span>MINIMUM VALUE OF THE SLOPE = - 2</span>
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A local Charity receives 1/3 of funds raised during a craft fair and bake sale. The total amount given to the charity was $137.4
Fed [463]

Answer:

The bake sale raised $412.35

Step-by-step explanation:

* Lets explain how to solve the problem

- A local Charity receives 1/3 of funds raised during a craft fair and

 bake sale

∴ The total amount given to the charity = 1/3 × the funds raised during

  a craft fair and bake sale

- The total amount given to the charity was $137.45

∴ The 1/3 of of funds raised during a craft fair and bake sale is $137.45

- Lets substitute the The total amount given to the charity in the

 equation above to find the funds raised during the bake sale

∴ 137.45 = 1/3 × the funds raised during the bake sale

- Multiply the both sides by 3

∴ 3 × 137.45 = the funds raised during the bake sale

∴ The funds raised during the bake sale = 412.35

* The bake sale raised $412.35

6 0
3 years ago
Please help&lt;3<br> Thank you so much:)
KengaRu [80]

Divide number of people who would buy it again by total number surveyed them multiply by 100 for the percent.

1815/3300 = 0.55

0.55 x 100 = 55%

The answer is 55%

6 0
2 years ago
Read 2 more answers
Which term has the definition "A portion of the population"?
Vitek1552 [10]

Answer:

A.

Step-by-step explanation:

6 0
2 years ago
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Factor Completely: -3x - 9
uranmaximum [27]

Step-by-step explanation:

-3x-9

divide the equation by -1 so that the -1's are taken from -3x and -9. so the -1 goes on the outside of 3x+9

-1(3x+9)

then divide the equation by 3 since 3x and 9 is divisible by 3.

(-1)(3)(3/3x+9/3)

-3(x+3)

Now we can expand again to check the problem

-3 times x=-3x

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and add

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Hope that helps :)

7 0
3 years ago
Kini earns 9 dollars an hour at her job and her allowance is 8 dollars per week. Duke earns 7.50 dollars an hour and his allowan
Softa [21]

Answer:

Step-by-step explanation:

y = 9x + 8

y = 7.5x + 16

1.5x = 8

x = 5.3 hours

3 0
3 years ago
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