First, let's move all the x's to the left:
3x+4=9x+3
3x-9x+4=3
Now, move 4 to the right:
3x-9x=3-4
Combine Like Terms:
-6x=-1
Divide both sides by -6:
x=
(
)
Answer:
Option C)
Step-by-step explanation:
We are given the following in the question:
Removing the sign of proportionality and introducing the constant of proportionality, we have
where k is constant of proportionality.
We are given
Putting value, we get,
Thus, the equation representing the relationship is
Option C)
Answer: C. 10.
Step-by-step explanation:
Let x = Number of times you have to go to the gym in order for it to cost the same amount.
Given: Monthly pass fee = $90
Additional charge = $4
Total amount = (Monthly fee) + (Number of times) (Additional charge)
Total amount = 90+4x (i)
Payment for each time you go to the gym = $13
Total amount = 13x (ii)
From (i) and (ii) , we get
Hence, the number of times you have to go to the gym in order for it to cost the same amount= 10
Hence, the correct option is C. 10.
Answer:
12. 1 second, 35 ft; 2 seconds, 32 ft
13. (t, y) = (1.4 seconds, 37.6 feet)
14. 37.6 ft; the vertex is the highest point
Step-by-step explanation:
12. You have properly answered question 12.
After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.
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13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...
(t, y) = (1.4, 37.6)
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14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.
The maximum height is 37.6 feet.
