Answer:

Step-by-step explanation:
For the function to have a domain of all reals, the denominator cannot have a value of zero. x^2 + 2cx + 14 will not have zero as a root if it has no real solutions. A quadratic equation has no solutions when the discriminant is negative.
b^2 - 4ac < 0
(2c)^2 - 4(1)(14) < 0
4c^2 - 56 < 0
4c^2 < 56
c^2 < 14

Answer:
6
Step-by-step explanation:
first take 3+3=6+12=18+28=46+7=53+12=65
65-60=5 five is answer
Answer:
y = 4
Step-by-step explanation:
y = (1/2)x + 1
when x = 6
y = (1/2)(6) + 1
y = 3 + 1
y = 4
Since we know the length (L) to width (W) ratio is 3 to 1, we can put the ratio in the form of a fraction and solve for the unknown length (L’).
Therefore we have L/W = 3/1 = L’/33
Moving the width of 33 to the other side of the equation, we have 3/1 * 33 = L’
99/1 = L’
99 = L’
Therefore the length L’ should be 99cm if the width is 33cm.
Let me know if you have any questions.
If he takes 27 minutes to swim 81 laps then how many minutes does it take to do one lap? So we need to divide 81 by 27.
C. 81/27