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pav-90 [236]
3 years ago
13

Во една продавница има повеќе видови на сокови. 16 л пепси, 18 л фанта, 26 л кока кола и 10 л џус од портокал. Колкав дел од сок

овите се џусови

Mathematics
1 answer:
ozzi3 years ago
4 0

Answer:

Step-by-step explanation:

тоа е

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Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×&lt
brilliants [131]

Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

f'(x) = \dfrac{(-x + 2)^4}{dx}  = -4 \cdot (-x + 2)^3 = 0

∴ (-x + 2)³ = 0

x = 2

f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx}  = -12 \cdot (-x + 2)^2

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).

5 0
3 years ago
Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day. If Mr.Mason drinks 118 ounces
denis-greek [22]

The total weight of Mason is 177

<em><u>Solution:</u></em>

Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day

Mr.Mason drinks 118 ounces each day

Let "x" be the total weight of Mr.Mason

Therefore, we can say,

Two third of body weight = Amount of gatorade drank in ounces per day

Two third of x = 118

\frac{2}{3} \text{ of } = 118\\\\\frac{2}{3} \times x = 118\\\\2x = 118 \times 3\\\\2x = 354\\\\x = \frac{354}{2}\\\\x = 177

Thus total weight of Mason is 177

6 0
3 years ago
Rachel is packing up her room to move to a new city.Together,all the books on her bookshelf weigh 85 pounds.She wants to divide
attashe74 [19]

Answer:

21.25

Step-by-step explanation:

85/4 = 80/4+5/4 = 20 + 1 + 1/4 = 21 + 0.25 = 21.25

3 0
3 years ago
Enter the values of h and I so that y=x2+6x+10 is in vertex form<br> Y=(x+__)^2+___
DiKsa [7]

Use\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\y=x^2+6x+10=x^2+2(x)(3)+10=\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2+10\\\\=(x+3)^2-9+10=(x+3)^2+1\\\\Answer:\ \boxed{y=(x+3)^2+1}

3 0
3 years ago
Which package has a better price a 10 pack of 2.1 ounce bars which costs $15.37 or a 12 pack of 1.4 ounce bars which cause $15.3
jasenka [17]
<span>Find which is a better package between the 2
 10 pack of 2.1 ounce bar = costs 15.37 dollars
=> 2.1 x 20 = 21 there are a total of 21 ounce of bar
=> 21 / 15.37
=> 1.366 dollars / ounce

12 pack of 1.4 ounce bars = costs 15.35
=> 1.4 x 12 = 16.8, there are 1a total of 6.8 ounces of bar
=> 16.8 / 15.35
=> 1.094 dollars / ounce

Thus the second choice is the better package between the two. The 12 pack of 1.4 ounce bars.</span>



8 0
3 years ago
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