Answer: Any real number x as long as 
and 
In other words, anything but 0 or -2/3 is valid.
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Explanation:
Set the denominator equal to zero and solve for x
2(3x^2 + 2x) = 0
3x^2 + 2x = 0
x(3x + 2) = 0
x = 0 or 3x+2 = 0 .... zero product property
x = 0 or 3x = -2
x = 0 or x = -2/3
If either x = 0 or x = -2/3, then the denominator 2(3x^2 + 2x) will be zero. But recall that we cannot have zero in the denominator. Dividing by zero is not allowed. The expression is undefined when we divide by zero.
Therefore, we must exclude x = 0 and x = -2/3 from the domain. Any other real number is valid as an x input.
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.
Answer:
7%
11%
5%
14%
Step-by-step explanation:
To find a numbers percentage of another number you simply divide the smaller number by the bigger number then move the decimal point to the right 2 places.
Percentage of workers who prefer chicken soup who are part-time: 35÷500 = 0.07 move the decimal 2 to the right to get 7%.
Percentage of full-time workers who prefer mushroom soup: 55÷500 = 0.11 move the decimal 2 to the right to get 11%.
Percentage of workers who prefer lintel soup who are full-time: 25÷500 = 0.05 move the decimal 2 to the right to get 5%.
Percentage of part-time workers who prefer tomato soup: 70÷500 = 0.14 move the decimal 2 to the right to get 14%.
Hope this helps! :)
THE PROBABILITY IS likely to be one half half of the slice of the pizza
