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3 years ago

I need help with solving it

Mathematics

1 answer:

mars1129 [50]3 years ago

7 0

The given equation has a slope of $\frac{-9}{7}$ . Parallel lines have the same slope.

Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is the point and "m" is slope

y - y₁ = m(x - x₁)

y - (-4) = $\frac{-9}{7}$ (x - 2)

y + 4 = $\frac{-9}{7}$ x + $\frac{18}{7}$

- 4 - $\frac{28}{7}$

y = $\frac{-9}{7}$ x - $\frac{10}{7}$

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3 years ago

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Answer:

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Step-by-step explanation:

Function modeling

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

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$M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.$

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

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