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drek231 [11]
3 years ago
14

The table below represents the distance of a train from its destination as a function of time: Time (hours) x Distance (miles) y

0 665 1 570 2 475 3 380 4 285 Part A: What is the y-intercept of the function, and what does this tell you about the train? (4 points) Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points) Part C: What would be the domain of the function if the train continued to travel at this rate until it reached its destination? (2 points)
Mathematics
1 answer:
stiv31 [10]3 years ago
3 0
A.  y=-95x+665  y-intercept is 665
B.  Ave rate of change is -95
C.  y=0 so x=7 Domain is [0,7]
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garri49 [273]

Answer:

True, the point (-5, 2) is inside of the circle (lying on it) centered at (0, 7)

Step-by-step explanation:

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Zarrin [17]

FORMULA:

  • Pythagorean property —: h² = b² + p², where h = hypotenuse, b = base, p = perpendicular.

ANSWER:

By pythagorean property,

  • x² = 25² + 100²
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8 0
3 years ago
Solve (x + 3 &lt; 5) U (x - 7 &gt; 1).
ale4655 [162]

Answer:

{ x | x < 2 or x > 8}

Step-by-step explanation:

Given the expression

(x + 3 < 5) U (x - 7 > 1).

Solve x+3 < 5

Subtract 3 from both sides

x+3 - 3 < 5-3

x < 2

For x - 7 > 1

Add 7 to both sides

x-7+7 > 1 + 7

x > 8

Hence the union of both is { x | x < 2 or x > 8}

4 0
3 years ago
Which statement is true about the factorization of 30x2 + 40xy + 51y2? The polynomial can be rewritten after factoring as 10(3x2
iragen [17]

Answer:

  The greatest common factor of the terms is 1.

Step-by-step explanation:

The terms have no variables in common, and the coefficients have no factors in common. The greatest common factor of the terms is 1.

__

The discriminant is negative (40² -4(30)(51) = -4520), so any linear factors will be complex.

6 0
3 years ago
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Triangle QRS with vertices Q(6, -2), R(4, -7), and S(2, -5), is drawn inside a rectangle, as shown below. What is the area, in s
Ugo [173]
The rectangle is 4 x 5. Area of 20. 
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Subtract 13 from 20. 
20 - 13 = 7. 
The answer is A, 7. Hope this helps!
7 0
4 years ago
Read 2 more answers
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