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Ratling [72]
4 years ago
10

a snowplow has maximum speed of 40 miles per hour on a dry highway. It's maximum speed decreases by 1.2 miles per hour for every

inch of snow on the highway. According to this model, at what snow depth will the snow plow be unable to move?
Mathematics
1 answer:
vova2212 [387]4 years ago
8 0

Step-by-step explanation:

The snowplow's speed is 40 mph minus the loss from the snow, which is 1.2 mph times the depth of snow in inches.

y = 40 − 1.2x

When y = 0:

0 = 40 − 1.2x

1.2x = 40

x = 33 ⅓

The snowplow stops moving when the snow is 33 ⅓ inches deep or more.

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Answer:

24, 39, 63

Step-by-step explanation:

The next 3 terms are 9 + 15 = 24, 15 + 24 = 39, and 24 + 39 = 63.

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vitfil [10]

Answer:

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.


Step-by-step explanation:


A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.


This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.


In this polynomial:


Root -4 has even multiplicity of 4 so it only touches and does not cross through.


Root -1 has odd multiplicity of 3 so crosses through.


Root 5 has even multiplicity of 6 so it only touches and does not cross through.


Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.


To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

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Step-by-step explanation:

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3 years ago
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