I assume the equation described is:
( x + 6 ) / ( x^2 - 64 )
You can compare the degree of the numerator and denominator in a function that takes the form of this type of rational equation.
Here are the three rules
#1 (Correct Answer): When the degree of the numerator is smaller then the denominator the horizontal asymptote is y = 0
#2 If the degree of the numerator and denominator is the same, then you take the leading coefficient of the numerator (n) and denominator (d) to create the answer y = n / d in this equations case it would be 1 / 1 since variables technically have an invisible 1 in front of them since anything multiplied by 1 is its self, 1x = x
#3 When the degree of the numerator is greater then the degree of the denominator then this means that it does not have a horizontal asymptote.
Again the final answer is that the horizontal asymptote is y = 0
It seems appropriate to use the linear regression function of your calculator for this. Looking at the data, you know the slope is generally positive, so only the 1st and 3rd choices are potentially viable.
A calculator shows the correlation coefficient (r) rounds to 0.816, so the appropriate selection is ...
A. 0.816
Answer:
Step-by-step explanation:
(a) Without solving the equation we can't determine whether its true or false.
(b) If x = 3
4x + 1 = 2x + 5
4(3) + 1 = 2(3) + 5
12 + 1 = 15 + 5
13 = 20
No, if x = 3, the equation will not be true.
(c) 4x + 1 = 2x + 5
4x - 2x = 5 - 1
2x = 4
x = 4/2
x = 2
This shows that x = 2 makes the equation true.
Answer:
6.625 inches or 6 5/8 inches
and the drop down hopefully will let you choose "between 6 and 7 inches"
Step-by-step explanation:
53/8 = 6.625
0.625 = 5/8
Let me know if you have questions about this. Have a good night.