Answer:
(A) 12
Step-by-step explanation:
First, lets define the number as x.
"8 times the difference between a number and 6 is equal to 4 times the number" is translated into "8(x - 6) = 4x"
8(x - 6) = 4x
8x - 48 = 4x
4x = 48
x = 12
The slope is 1/6 and the y intercept is 7
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Imagine that this curve is a roller coaster. A dot on the roller coaster would be a car for a person to sit in, so to speak. As this car moves to the right, the car ultimately moves downward. So this means that as x gets larger, y gets smaller. Put another way: as x approaches infinity, f(x) approaches negative infinity.
Similarly, we can move the other way to work our way to the left. Moving to the left has us go up this time. As x approaches negative infinity, f(x) approaches positive infinity
These two facts point to choice B as the final answer
Let C be the total charge and t be the rental time in hours.
C = ht + 43
Plugging the given values into the equation, we get:
64 = 7h + 43
7h = 21
h = 3
The hourly fee is $3.00 per hour.
To calculate the volume of a sphere you must use the formula
v=4/3pir^3
The radius (r) is half of the diameter
r=13.5
v=4/3pi13.5^3
v=10305.99
Therefore the volume of the sports ball is 10306cm^3 (to the nearest tenth)