3 years ago

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Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

3 0

What is the initial fee to rent the cabin?

$50, this is the y-intercept

What is the cost per night?

$75, this is the slope

Write an equation to represent the situation.

y = 75x + 50

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Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16

AleksandrR [38]

Answer:

$(f\cdot g)(x)=\dfrac{7x-21}{x+4}$

Step-by-step explanation:

$(f\cdot g)(x)=f(x)\cdot g(x)=(x^2-7x+12)\cdot\dfrac{7}{x^2-16}\\\\=7\dfrac{(x-3)(x-4)}{(x+4)(x-4)}=\dfrac{7(x-3)}{x+4}\\\\=\dfrac{7x-21}{x+4}$

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3 years ago

When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x.

timama [110]

The value of x in the equation 1/2x = -1/2x when 4 is subtracted from both sides is 0(not defined)

Subtraction of fraction

Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction

1/2x = -1/2x

Subtract 4 from both sides

1/2x - 4 = -1/2x - 4

(x-8) / 2 = (-x-8) / 2

(x - 8) / 2 = (-x-8) / 2

cross product

2(x - 8) = 2(-x - 8)

2x - 16 = -2x - 16

2x + 2x = -16 + 16

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