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LekaFEV [45]
1 year ago
6

A motorcycle consumes 5 gallons of gas for 300 miles and 7 gallons for 420 miles. Calculate the rate of change per gallon of gas

.
Mathematics
1 answer:
Natalka [10]1 year ago
4 0

Thus, the rate of change per gallon of gas is 60 miles per gallon.

A motorcycle consumes 5 gallons of gas for 300 miles and 7 gallons for 420 miles.

<h3>What is rate of change?</h3>

Rate of change is defined as the change in value with rest to the time is called rate of change.

Now,

Rate of change = Difference B/w volume (i.e. in gallons)  /difference in miles
= 420-300/7-2
= 60 gallons/mile

Thus, The required rate of change per gallon of gas is 60 miles per gallon.

Learn more about rate of change here: brainly.com/question/13103052

#SPJ1

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What is the y-intercept, axis of symmetry and vertex of the following function.
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Complete the square:

F(x) = -3x² - 6x - 5

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F(x) = -3 (x + 1)² - 2

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F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5

The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.

The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from

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This is to say, every point on the parabola has a y-coordinate no greater than -2.

As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.

4 0
2 years ago
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What’s the answer to this?
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Answer:

y = -1/2x + 1

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Using the slope formula: y = (y2 - y1)/(x2 - x1), we can determine that the slope is -1/2. There is only one answer with the slope of -1/2, but to check that it's right, we can plug in one of the points to see that y = -1/2x + 1 works.

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A line with a slope -2 passes through the point (-1,4). Which equation represents this line in point-slope form?
sesenic [268]

9514 1404 393

Answer:

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Step-by-step explanation:

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

You have m = -2 and (h, k) = (-1, 4). Putting these numbers into the above form gives ...

  y -4 = -2(x +1)

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3 years ago
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