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irakobra [83]
3 years ago
14

The profit of a company in thousands of dollars is given by the quadratic function P(x) = 3000 + 1200x - 6x2 where x is the amou

nt, in thousands, the company spends on advertising. Find the amount, x, that the company has to spend to maximize its profit.
Mathematics
1 answer:
Ganezh [65]3 years ago
8 0
P(x) = 3000 + 1200x - 6x²

P'(x) = 1200 - 12x

1200 - 12x = 0

- 12x = - 1200

x = 100<span>
Shoutout to @dferreiraalves 


Your answer is: x = 100 

Have an amazing day and stay hopeful!

</span>
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laila [671]

Answer:

The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft

3 0
3 years ago
What is the inequalities of 4(-4x-3)&gt;36
adelina 88 [10]

Answer:

x<-3

Step-by-step explanation:

-16x-12>36

-16x>48

x<-3

4 0
3 years ago
In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

f(15) = 62826

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

a = \frac{y_2 - y_1}{x_2 - x_1}

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

3 0
3 years ago
PLEASE ANSWER QUICKLY
Travka [436]

Answer:

63 :)

Step-by-step explanation:

3 0
3 years ago
Plz Help ASAP!!!!!
xz_007 [3.2K]

Answer:

The hypotenuse is square root of 65

Step-by-step explanation:

a^2 + b^2 = c^2

legs of the right triangle are a and b. Just substitute 4 for a and 7 for b and solve.

4^2+7^2=16+49=65

c^2=65

Find the square root of both sides to get

c=the square root of 65

3 0
3 years ago
Read 2 more answers
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