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spin [16.1K]
3 years ago
15

-6 (6-a) =-84 what is a​

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer: A is -8

Step-by-step explanation:

-6 times 6 = -36 then you would do -6 times -a = 6a then you would have

-36 + 6a = -84 then you would add 36 to both sides to get -48 then you would divided -48 by 6 to get -8

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The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

The number of elephant ears that must be sold to maximize profit is 400.

Step-by-step explanation:

Given that,

The profit that a vendor makes per day is given by

P(x)= - 0.004x² +3.2 x -200

where x is number of elephant ears.

P(x)= - 0.004x² +3.2 x -200

Differentiating with respect to x

P'(x)= - 0.008x+3.2

Again differentiating with respect to x

P''(x) = -0.008

For maximum or minimum P'(x)=0

- 0.008x+3.2=0

⇒0.008x=3.2

\Rightarrow x=\frac{3.2}{0.008}

⇒ x = 400

P''(x)|_{x=400} = -0.008

Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

          =440

The number of elephant ears that must be sold to maximize profit is 400.

3 0
3 years ago
If g(x) = x+1/ x-2 and h (x) =4 - x , what is the value of ( g*h) (-3)?
Lapatulllka [165]

<u>Answer:</u>

g (h (x) ) = 5/8

<u>Step-by-step explanation:</u>

We are given the following two functions and we are to find the value of g ( h ( - 3 ) ):

g ( x ) = \frac { x + 1 } { x + 2 }

h ( x ) = 4 - x

Firstly, we need to find the function :

g ( h ( x ) ) = \frac { ( 4 - x + 1 ) } { ( 4 - x - 2 ) } = \frac { 5 - x } { 2 - x }

Now substituting the value x=-3 in it:

g ( h ( x ) ) = \frac { 5 - (-3) } { 2 - (-3) }

g (h (x) ) = 5/8

5 0
3 years ago
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