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3 years ago

4x + 5x - 30= 180 find the value of x

Mathematics

1 answer:

slega [8]3 years ago

7 0

Answer:

$4x + 5x - 30 = 180 \\ collect \: like \: terms \\ 4x + 5x = 180 + 30 \\ 9x = 210 \\ x = \frac{210}{9} \\ x = 23 \frac{1}{3}$

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Total profit P is defined as total revenue R minus total cost C, and is given by the function P(x)=R(x)−C(x). Find the total pr

satela [25.4K]

Given:

The revenue function is

$R(x)=126.98x-0.5x^2$

The cost function is

$C(x)=3809.40+0.7x^2$

To find:

The profit function.

Solution:

We know that, the total profit P is defined as total revenue R minus total cost C.

So, the profit function is

$P(x)=R(x)-C(x)$

$P(x)=126.98x-0.5x^2-(3809.40+0.7x^2)$

$P(x)=126.98x-0.5x^2-3809.40-0.7x^2$

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3 years ago

Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)

kifflom [539]

Answer:

$\displaystyle y=\frac{2}{3}(x+5)+2$

Step-by-step explanation:

We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).

The given line can be expressed as:

$\displaystyle y=-\frac{3}{2}x+4$

We can see the slope of this line is m1=-3/2.

The slopes of two perpendicular lines, say m1 and m2, meet the condition:

$m_1.m_2=-1$

Solving for m2:

$\displaystyle m_2=-\frac{1}{m_1}$

$\displaystyle m_2=-\frac{1}{-\frac{3}{2}}$

$\displaystyle m_2=\frac{2}{3}$

Now we know the slope of the new line, we use the slope-point form of the line:

$y=m(x-h)+k$

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

$\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}$

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3 years ago