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umka21 [38]
2 years ago
8

The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the

year 2000.
A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000.
For which year would this model most likely be sufficient to make a prediction of the population?

1950
2005
2025
2050
Mathematics
1 answer:
Darya [45]2 years ago
8 0
2025 or (c) is ur answer
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Answer:

If x = -3 and y = 2, then |5x-2y|-|3x| = 10

Step-by-step explanation:

This is a problem that utilizes both substitution and the order of operations.

|5x-2y|-|3x| = \\|-15-(2)(2)|-|(3)(-3)| =\\ |-15-4|-|(3)(-3)| =\\|-19|-|(3)(-3)| =\\19-|(3)(-3)| =\\19-|-9| =\\19-9 =\\10


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3 years ago
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A carpenter started with a board that was 31 inches long. He cut 2 pieces that were each 3 inches long. He then cut 3 pieces tha
rosijanka [135]
One inch of board is left
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3 years ago
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Zigmanuir [339]

Answer:

The answer would be C) 64 and 112

Step-by-step explanation:

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2 years ago
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3 years ago
1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the
Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1).  First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4.  Using point-slope form,

y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2.  To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2.  Using point-slope form,

y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}

#4) The slope of Main Street on the diagram, found by using rise/run, is 2.  This means the bike path will also have a slope of 2 in order to be parallel.  The park entrance is at (0, 4).  This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel.  They are never perpendicular.

3 0
3 years ago
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