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2 years ago

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The yearly profit of a company in thousands of dollars is given by the finction P(x) =3000+1200-6x^2 where x is the amount in th

ousands the company spneds on advertising. Find the amount ,x, that the company has to spend to maxamize its profit

1 answer:

NeTakaya2 years ago

7 0

The maximum or minimum happens when x=-b/2a
x=-1200/[2*(-6)]=100

the maximum happens when x=100

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Find the slope of the line that passes through the pair of points (4,3) and (-2, 6)

natima [27]

Answer: (6,9)

Step-by-step explanation:

Add them both up

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y = 3x + 3 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution

Leona [35]

Y = 3x + 3
y = x - 1

As you can see, both equations are set to equal y. This means the right sides of each equation are equal, since y is isolated in both equations. So to solve this particular system of equations for x, set the right sides of both equations equal to each other. After you've done that, you can proceed to solve the equation algebraically for the variable, x.

3x + 3 = x - 1
2x + 3 = -1
2x = -4
x = -2

Negative two is the x-value. To find the y-value, substitute -2 for x into either equation and solve algebraically for y.

y = x - 1
y = -2 - 1
y = -3

The final step is to check all work by plugging both x- and y-values back into both equations.

y = 3x + 3
-3 = 3(-2) + 3
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y = x - 1
-3 = -2 - 1
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Answer:
(-2, -3)

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2 years ago

I need help with this

Zielflug [23.3K]

Answer:

We conclude that:

$\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}$

Step-by-step explanation:

Given the expression

$\frac{x+2}{x+4}-\frac{x-1}{x+6}$

Least Common Multiple of x+4, x+6: (x+4) (x+6)

Adjusting fractions based on the LCM

$=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}$

since the denominators are equal, combine the fractions:

$\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

so the expression becomes

$=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}$

$=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}$

$=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}$

simplify

$=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}$

Therefore, we conclude that:

$\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}$

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2 years ago

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mafiozo [28]

Answer:

X=84/21

Step-by-step explanation:

X/14=6/21

X=(6/21)(14/1)

X=84/21

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