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Ilya [14]
3 years ago
13

Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the end behavior.

Mathematics
1 answer:
ivolga24 [154]3 years ago
7 0
The graph of x^3 - 15x^2 + 68x - 96 goes down on the left and rises up on the right.
The y-intercept is the value of the function when x = 0,
y-intercept is y = -96

x-intercept are the zeros of the function.
x^3 - 15x^2 + 68x - 96 = 0
x-intercepts are x = 8, x = 3, x = 4
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A -cd for a = 9, b = -3, c = -2 , d= 7
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Answer:

Step-by-step explanation:

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3 years ago
An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

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Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

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If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

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r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

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8 0
3 years ago
John sales model boats from a booth at a local fair. He purchases each model boat from a distributor for five dollars and the lo
poizon [28]

Answer and explanation:

Profit from sale of model boats = Sales -costs(costs of goods purchases + expenses or charges by the local fair)

John's profit from the sale of model boats can be represented by the equation:

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Where P is profit from the sale of the model boats and x is number of model boats bought and sold. The 80 is constant as it is a fixed cost paid to the local fair.

For example if John buys and sells 20 model boats, he would make profit of:

Substitute x=20 in equation above

P= 50×20-(5×20+80)

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It could be said that John is in a very profitable business and his profit is also dependent on volume of sales because the lower his sales the closer he gets to making a loss and not profit

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3 years ago
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kiruha [24]
The answer (I believe) Is 6.

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x+(5x-6)+(5x-6)=54

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8 0
3 years ago
Linear Function Table
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b. Use the same formula

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d. The ratios of the differences to the input intervals reduced all equal each-other, which is 8 per 1 unit.

4 0
3 years ago
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