Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
Answer: The number is 54!!!
Hope it helps!!!
Step-by-step explanation:
Let's call the number x.
So, 5/6 (of or multiplication) = 45
5x = 45* 6
x = 270/5
x = 54
Answer:
See below. The series converges.
Step-by-step explanation:
Answers:
0.45 is a moderate association
0.95 and -0.8 are both strong association
0.10 is weak association
Explanation:
This is the interpreation of the correltaion coefficient:
1) The correlaion coefficient assesses the relationship between two variables in a scatter plot.
2) If the sign of the correlation coefficient is positive means that the two variables trend to grow or decrease in the same sense. This is an uphill line or curve: if variable X grows, variable Y grows, and if variable X decreases variable Y grows.
If the sign of the correlation coefficient is negative means that the two variables go in opposite direction. This is a downhill line or curve.
3) A correlation coefficient of +1 or -1 is a perfect association. The two variables are totally associated.
4) A correlation coefficient less that +1 but greater than 0.7 is a strong association. The same with a coefficite between - 0.7 and -1.
5) A correlation coefficient arroun +0.5 or -0.5 is a moderate association.
6) A correlation coefficient of 0 is a nill association.
7) A correlation coeffiicient between 0 and 0.3 is a weak association. The same when the correlation coefficient is between -3 and 0.
