Answer: OPTION C
Step-by-step explanation:
You can solve the problem shown above keeping on mind the facts shown below:
As you can see in the graph attached in the problem, there is a hole in the function at x=6.
By definition, this indicates that the function shown is not continuous at that point.
Therefore, you can conclude that the value in which is the graph discontinuous is the value of the option c: 6
Start by assigning a variable name to the "number" -- call it x.
Now write out what they say:
"The product of 1/3 and the sum of a number and 3" -- that's 1/3 times x + 3, or (1/3)(x + 3) or (x + 3) / 3
It's "between negative one and five"
So that means:
-1 < (x + 3) / 3 < 5
So now solve this inequality. First multiply everything by 3.
-3 < x + 3 < 15
Subtract 3 from all the terms:
-6 < x < 12
So the answer is, all numbers between -6 and 12
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Red = 8
blue = 6
greem = 4
total = 18
probability of blue marble = 6/18 = 1/3
Answer:
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1) 3j + 5p = 7.60 and 1j + 2p = 2.90
2) Solving for j and p
j = 2.90 - 2p
3(2.90 - 2p) + 5p = 7.60
8.7 - 6p + 5p = 7.60
8.7 - p = 7.60
-p = -1.1
p = 1.1
1j + 2(1.1) = 2.9
j + 2.2 = 2.9
j = .7
3) The values of p and q:
p = $1.1 per pancake, j = .70 cents per glass
