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3 years ago

What is the slope of the line passing through the points (-3, 4) and (2, - 1)? A -1

Mathematics

1 answer:

Serggg [28]3 years ago

3 0

Answer:

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (2, - 1 )

m = $\frac{-1-4}{2-(-3)}$ = $\frac{-5}{2+3}$ = $\frac{-5}{5}$ = - 1 → A

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16 Which expression is represented by the model shown below?

aleksklad [387]

I think it’s the first one

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3 years ago

A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimate that

USPshnik [31]

Answer:

$204

Step-by-step explanation:

The question is at what price x will the company maximize revenue.

The revenue function is:

$R(x) = 4,080x-10x^2$

The price for which the derivate of the revenue function is zero is the price the maximizes revenue:

$R(x) = 4,080x-10x^2\\\frac{dR(x)}{dx}=0=4,080-20x\\x=\frac{4,080}{20}\\ x=\$204$

The company will maximize its revenue when the price is $204.

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4 years ago

A farmer Has 900 yards of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river,

horsena [70]

Answer:

Length, l=450 yards

Width, b=225 yards

Step-by-step explanation:

Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards

X=900/2=450 yards for long side.

The short side is 0.5x hence 0.5*450=225 yards

In conclusion, the long side is 450 yards while short side is 225 yards.

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3 years ago

S is inversely proportional to t When s = 0.5, t = 7 Work out s when t = 0.8

defon

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.