The initial value is where the line intersects the y-axis. So, this does it at y = 2. The graph has a slope (rate of change) of 1, because for every x-value, the y-value goes up by exactly 1. So, the answer is C.
Step 1: Put a decimal point at the end of the number: 2445000000.<span>
Step 2: Move the decimal point 9 spaces to the left: </span>2.445000000
Number: 2.445000000 aka 2.445<span>
Exponent: 9
Answer: 2.445 x 109</span>
ANSWER
The resulting parabola in vertex form is:
EXPLANATION
The original equation of the parabola is given as
This parabola has its vertex at the origin.
If the graph of this parabola is shifted four units right and three units down, then the new equation is:
This the equation of the transformed parabola.
Its vertex is now at (4,-3).
You have the right idea for the first part. There are three ways to add to 4, and those ways are: 1+3 = 4, 2+2 = 4, and 3+1 = 4. This is out of 6*6 = 36 ways to roll two dice. That leads to 3/36. You then reduce the fraction 3/36 to get 1/12. Divide both parts by 3 to reduce.
So the first answer is 1/12
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The first answer is used to help find the second answer. The probability of getting a single "4" is 1/12, so the probability of getting three "4"s in a row is (1/12)^3 = (1/12)*(1/12)*(1/12) = 1/1728
Second answer is 1/1728
