Answer:
(a) 3118=61*t
(b) The amount of time the roller coaster is in motion is 51.11 seconds.
Step-by-step explanation:
Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:

Then the distance traveled can be expressed as:
distance=speed*time
(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:
<u><em>3118=61*x</em></u>
(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:

51.11 seconds=x
<u><em>
The amount of time the roller coaster is in motion is 51.11 seconds.</em></u>
Answer is 11 radical 6, C.
If you mean: (3x)^-1
When you have a power to a negative number (1 in this case), place the power on the numerator, with the base in the denominator.
(3x)^-1 = 1/3x
1/3x, or C) is your answer
hope this helps
The value of x is 1.14 or x = -1.47
We find the value of x in the quadratic equation 3x^2 +x-5=0
Using the formula: (-b ± √ (b²- 4 a c)) / (2a)
Where the value of a = 3, b = 1 and c = -5
Substituting the above values (a = 3, b = 1 and c = -5)
in the formula:
(-1 ± √ (1²- 4 3 (-5))) / (2*3)
= (-1 ± √ (1+60)) / (6)
= (-1 ± √ (61)) / (6)
= (-1 ± 7.81) / (6)
= (-1 + 7.81) / (6) or (-1 -7.81) / (6)
= (6.81) / (6) or (-8.81) / (6)
=1.135 or -1.468
Hence the value of x= 1.14 or -1.47
LEARN MORE ABOUT QUADRATIC EQUATIONS HERE: brainly.com/question/1214333
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Answer:
79.6 dollars saved
Step-by-step explanation:
Mail
4 times 54.90 equals 219.6
4 times 6.50 equals 26
4 times 8.34 equals 33.36
219.6 + 26 + 33.36 = 278.96
Local store
332 times .08 equals 26.56
332 + 26.56 = 358.56
Difference
358.56 - 278.96 = 79.6