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Anna11 [10]
3 years ago
15

Find the value(s) of x such that f''(x)=0

Mathematics
2 answers:
ElenaW [278]3 years ago
5 0
25q + 10d + 5n = 127cents (not possible for the sum to be this. (sum needs to end in 0 or 5)"One dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies." Let q be the number of quarters, d be the number of dimes, and n be the number of nickels. A. Create and simplify the equation that represents the value of the coins. Make it an equation that expresses the value of quarters, dimes, and nickels. B. Is it possible to have exactly 60 pennies in $1.87? Explain.for ex25 + 10 + 50r50 + 10 + 5
Goryan [66]3 years ago
4 0
f(x)=\dfrac x{x^2+2}\implies f'(x)=\dfrac{2-x^2}{(x^2+2)^2}\implies f''(x)=\dfrac{2x^3-12x}{(x^2+2)^3}

The denominator is always positive, so any x for which f''(x)=0 is determined only by the numerator:

2x^3-12x=0\implies f''(x)=0
2x^3-12x=2x(x^2-6)=2x(x-\sqrt6)(x+\sqrt6)=0\implies x=0,\pm\sqrt6
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Randy ordered 3 T-shirts for $25.67 each and one skirt for $23.55 and an 8% tax. What is the total cost of the order?
DerKrebs [107]
KP - break this one down to three parts: Total cost of shirts, total cost of shirts and the skirt, and then including tax. 

3 T-shirts for $25.67 each would be 3 * 25.67 = 77.01
Shirts and skirt would be 77.01 + 23.55 = 100.56
Tax can be found quite a few different ways, the easiest of which would be multiplication. 

8% = .08

100.56 (total cost of clothes) * .08 (tax) = $8.05

Now just add tax and total cost of the clothes. Because of rounding, our answer might be slightly different but that's okay because it's multiple choice and only 1 answer makes sense!

3 0
3 years ago
Read 2 more answers
Plz help !! Needed to graduate
Eddi Din [679]

x {}^{2}  - x -  \frac{5}{2}  = 0
(1±√(1-4(1)(-5/2))/(2)

(1±√1+10)/(2)

\frac{1  +     \sqrt{11} }{2}  \\  \frac{1 -  \sqrt{11} }{2}


8 0
3 years ago
How to solve 5h-2(3/2h+4)=10
trasher [3.6K]

Answer:

h = 9

Step-by-step explanation:

Solve for h:

5 h - 2 ((3 h)/2 + 4) = 10

Put each term in (3 h)/2 + 4 over the common denominator 2: (3 h)/2 + 4 = (3 h)/2 + 8/2:

5 h - 2(3 h)/2 + 8/2 = 10

(3 h)/2 + 8/2 = (3 h + 8)/2:

5 h - 2(3 h + 8)/2 = 10

(-2)/2 = (2 (-1))/2 = -1:

5 h + -1 (3 h + 8) = 10

-(3 h + 8) = -3 h - 8:

5 h + -3 h - 8 = 10

Grouping like terms, 5 h - 3 h - 8 = (5 h - 3 h) - 8:

(5 h - 3 h) - 8 = 10

5 h - 3 h = 2 h:

2 h - 8 = 10

Add 8 to both sides:

2 h + (8 - 8) = 8 + 10

8 - 8 = 0:

2 h = 10 + 8

10 + 8 = 18:

2 h = 18

Divide both sides of 2 h = 18 by 2:

(2 h)/2 = 18/2

2/2 = 1:

h = 18/2

The gcd of 18 and 2 is 2, so 18/2 = (2×9)/(2×1) = 2/2×9 = 9:

Answer: h = 9

6 0
3 years ago
How do you convert .3125 to 5/16
Lilit [14]

Answer: 625

Step-by-step explanation:

Here are the steps to convert .3125 into fraction form:

First we write .3125 as  

.3125

1

Now we multiply both the numerator and denominator by 10 for each digit after the decimal point:

.3125

1

 =  

.3125 x 10000

1 x 10000

 =  

3125

10000

In order to reduce the fraction we find the Greatest Common Factor (GCF) for 3125 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.

The factors of 3125 are: 1  5  25  125  625  3125

The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000

The Greatest Common Factor (GCF) for both 3125 and 10000 is: 625

3 0
2 years ago
Solve the system.<br> x=5y<br> y=22-2x<br><br> What is the solution?
Furkat [3]
The solution is (10,2) or x=10, y=2. Hope this helps :)
6 0
3 years ago
Read 2 more answers
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