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yan [13]
3 years ago
14

Math problem6=2(y+2)solve for yy=?

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

y = 1

Step-by-step explanation:

2 (y + 2) = 6

2y + 4 = 6

2y = 6 - 4

2y = 2

y = 2/2

y = 1

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gavmur [86]
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3 0
4 years ago
10. Determine the open interval(s) on which the function f(x) = 12x - x^3 is increasing.
Gre4nikov [31]

Answer:

\large\boxed{x\in(-2,\ 2)}

Step-by-step explanation:

f(x)=12x-x^3

Calculate the derivative of the function:

f'(x)=\left(12x-x^3\right)'=(12x)'-\left(x^3\right)'=12-3x^2

Calculate the zeros of the derivative:

f'(x)=0\Rightarrow12-3x^2=0\qquad\text{add}\ 3x^2\ \text{to both sides}\\\\3x^2=12\qquad\text{divide both sides by 3}\\\\x^2=4\to x=\pm\sqrt4\\\\x=\pm2

Let's check the derivative sign:

f'(x)>0\iff12-3x^2>0\qquad\text{use the distributive property}\\\\-3(x^2-4)>0\\\\-3(x^2-2^2)>0\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\-3(x-2)(x+2)>0\\^{\qquad x=2\qquad x=-2

Sketch a parabola open down

(before the brackets there is the number -3 < 0)

Look at the picture.

Where the derivative is negative, the function decreases.

Where the derivative is positive, the function increases.

Therefore your answer is:

x\in(-2,\ 2)

3 0
4 years ago
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Answer:

No

Step-by-step explanation:

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frosja888 [35]
1/9=0.11111.....
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7 0
4 years ago
Read 2 more answers
Find the solution of this system of equations:
Evgen [1.6K]

Answer:

y=-3.667

x=

Step-by-step explanation:

-4(10y-59)+10y=86

30y+196=86

30y=-110

y=-3.667

6 0
4 years ago
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