(0,0)(1,3) = (3 - 0) / (1 - 0) = 3
slope = 3
equation for this line is y = 3x...and since u have (0,0) as a point on this line, ur y int is (0,0)
g(x) = 7x + 2...slope here is 7 and y int is (0,2)
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The slope of f(x) = 3. I found this using the slope formula (y2 - y1) / (x2 - x1).
The slope of g(x) = 7. Because in y = mx + b form, the slope is in the m position.
g(x) has a steeper slope.
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f(x) has a y int of (0,0)...the line cuts thru the origin.
g(x) has a y int of (0,2)...because in y = mx + b form, the y int will be in the b position.
So, g(x) has a greater y int.
=(f-g)(x)
=f(x)-g(x)
=x+6-(x-6)
=x+6-x+6
=12
Given the table below which lists the masses and volumes of several pieces of the same type of metal.<span>
From the table the ratio of the mass to the volume of the metal of mass 34.932 is 34.932 / 4.1 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 47.712 is 47.712 / 5.6 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 61.344 is 61.344 / 7.2 = 8.52
</span><span><span>the ratio of the mass to the volume of the metal of mass 99.684 is 99.684 / 11.7 = 8.52
</span>MASS (grams) VOLUME (cubic cm.)
34.932 4.1
47.712 5.6
61.344 7.2
99.684 11.7</span>
Since the ratio of the various masses to the volume of the metals is the same, so there is a relationship between the mass and the volume of the piece of metal.
If the volume of a piece of metal is 15.3 cubic cm, then the mass of the metal is given by 15.3 * 8.52 = 130.356 grams.
Answer:
2
Step-by-step explanation:
C’(500)=80 means at 500 pounds of documents, the cost is increasing at a rate of $80 dollars/pound
