Using the function in example one, what is the y value (output) when x=4?

Answer:

The Prime Meridian is a line of longitude designated as 0 degrees, and it runs through Greenwich, London. When traveling eastward or westward from the Prime Meridian, you can travel up to 180 degrees in either direction before heading back toward the Prime Meridian.

So, you can travel a maximum of 180 degrees eastward or 180 degrees westward from the Prime Meridian before changing direction and heading back toward it. Beyond 180 degrees, you would start approaching the Prime Meridian from the opposite direction.

Final answer:

You can travel 180 degrees eastward or westward from the prime meridian before you start heading back towards it. This is primarily due to the arrangement of longitude and the physical structure of the earth.

Explanation:

If you travel eastward or westward from the zero (prime) meridian, the maximum degree that one can travel in either direction, assuming from the zero meridian, prior to heading back is 180 degrees. This is primarily due to the spherical structure of the earth and the way longitude is arranged.

This is defined as the International Date Line and lies exactly opposite the Prime Meridian, creating a semi-circular line. The Prime Meridian, by international agreement, is set at 0° and runs through Greenwich, England. This serves as a starting point for the measurement of longitude.

As you travel in either direction, the degree of longitude increases until you hit the International Date Line at 180°. Beyond the 180° mark, the degree starts decreasing heading back towards the Prime Meridian. Geography and astronomy recognise and adhere to these conventions.

Learn more about Prime Meridian here:

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Answer:

Compared to the graph of y = x, the graph of y = -2x is steeper.

Compared to the graph of y = x, the graph of y = -2x intersects the y-axis at the same point.

Compared to the graph of y = x, the graph of y = x + ⅔ is equally steep.

Compared to the graph of y = x, the graph of y = x + ⅔ intersects the y-axis at a higher point.

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiStep-by-step explanation:

Answer:

compass = $ 2.50 each

ruler        = $ 0.40 each

Step-by-step explanation:

Mrs. Chipps buys 30 c + 50 r = $95

Mr. Meehan buys 40 c + 40 r = $116    x (-1.25) to eliminate r

                             30 c + 50 r = $ 95

                            -50 c - 50 r  = $-145

                            -20 c             =  -50

                                               c = 50 / 20

                                               c = $2.5

substitute c = 2.5 into eq. 1

30 c + 50 r = $95

30 (2.5) + 50 r = 95

75 + 50 r = 95

50 r = 95 - 75

r = 20 / 50

r = 0.40

therefore, the individual costs of the compasses and rulers are:

compass = $ 2.50 each

ruler        = $ 0.40 each

Answer:

a) 0.8

b) 0.075

c) 0.04

d) 3.3125

Step-by-step explanation:

To find the decimal of a fraction, just divide.

And if it's a mixed number, first turn it into an improper fraction. For 3 5/16 multiply 3 by 16 then add the product to 5. It would be 53/16