Answer:
a = 1
Step-by-step explanation:
x = 8
3x - y = 9
3(8) - y = 9
24 - y = 9
-y = 9 - 24
-y = -15
y = 15
ax + y = 23
a(8) + 15 = 23
8a = 23 - 15
8a = 8
a = 8/8
a = 1
Answer:
B. 
Step-by-step explanation:
We know that the constant is $75. You only pay this once.
Whereas $0.55 you pay per mile. Which means that you will multiply 0.55 by how many miles you drive.
This means that the equation will look like:

Hope this helps! :)
Answer:
i answered but it got deleted its 12
Step-by-step explanation:
Answer:
The value of the damping coefficient γ is (6/19)√29, which is approximately 1.70058.
Step-by-step explanation:
Given that a certain vibrating system satisfies the equation
u'' + γu' + u = 0
We wish to find the value of the damping coefficient γ for which the quasi period of the damped motion is 90% greater than the period of the corresponding undamped motion.
The period of the undamped motion T is 2π
The quasi period T_d is (4π)/√(4 - γ²)
Since the quasi period is 90% greater than the period of the undamped motion, we have
T_d = 1.9T
So that we can finally obtain
γ as 1.70058.
THE STEP-BY-STEP WORKING IS SHOWN IN THE ATTACHMENTS.
Answer: The points are
(-1,2)
(0,1)
(1,2)
The graph is below
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Explanation:
The idea is to replace x with the values mentioned (one at a time) and find the paired y value
For example, if x = -1, then...
y = x² + 1
y = (-1)² + 1
y = 1 + 1
y = 2
So (-1,2) is one point on the parabola. Follow similar steps to find the other points (0,1) and (1,2)
I used GeoGebra to make the graph shown below.