The number 0.4 is written as a decimal.
Answer: 

<u>Step-by-step explanation:</u>
a) This is an arithmetic sequence where 3 is added to the previous term.
48 + 3 = 51
51 + 3 = 54
54 + 3 = 57
The recursive formula for this sequence is:
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b) This is a geometric sequence where 2.5 is multiplied to the previous term.
100(2.5) = 250
250 (2.5) = 625
625(2.5) = 1562.5
The recursive formula for this sequence is: 
A direct variation generally has the equation Y=KX
Because Mrs. Potts makes 5 dozen ravioli in 1 hour, this will be the K value.
(5 dozen/1 hr)
To figure out how many she can make in 2 1/2 hrs. You use 5 dozen/1 hr as the K value and multiply that by 2 1/2 hrs (the X value).
The hrs will cancel out and you will be left with the number of ravioli made in 2 1/2 hrs.
The answer is x^2, which is C), because x^2 * x = x^3
Answer:
x = 1 1/4
Step-by-step explanation:
sqrt( 7x+2) = sqrt(3x+7)
Square each side
(sqrt( 7x+2))^2 = (sqrt(3x+7))^2
7x+2 = 3x+7
Subtract 3x from each side
7x-3x +2 = 3x+7-3x
4x+2 = 7
Subtract 2 from each side
4x+2-2 = 7-2
4x = 5
Divide by 4
4x/4 = 5/4
x = 1 1/4
Check for extraneous solution
sqrt( 7*5/4+2) = sqrt(3*5/4+7)
sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)
sqrt( 43/4) = sqrt(43/4)
Solution is valid