34. x - 3 = 8x + 4
-3 - 4 = 8x - x
-7 = 7x
-7/7 = x
-1 = x
y = x - 3
y = -1 - 3
y = -4
solution is (-1,-4)
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35. -6 = -x - 2y
x = -2y + 6
2 + 5x = -2y
2 + 5(-2y + 6) = -2y
2 - 10y + 30 = -2y
32 = -2y + 10y
32 = 8y
32/8 = y
4 = y
2 + 5x = -2y
2 + 5x = -2(4)
2 + 5x = -8
5x = -8 - 2
5x = -10
x = -10/5
x = -2
solution is (-2,4)
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36. 4x + 6y = 2000
x + y = 410
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37. 4x + 6y = 2000
x + y = 410......multiply by -6
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4x + 6y = 2000
-6x - 6y = - 2460 (result of multiplying by -6)
--------------------add
-2x = - 460
x = -460/-2
x = 230 <=== tickets in advance
Vertex formula:
y = a ( x - 5 )² - 3
1 = a ( 6 - 5 )² - 3
1 = a - 3
a = 4
Answer:
B ) y = 4 ( x - 5 )² - 3
I would say answer D. Soo sorry if I’m wrong
Answer:
w = 1.25 t
The constant 1.25 denotes the rate of water flowing in the tub per minute.
Step-by-step explanation:
Water is running into a bathtub at a constant rate.
In 2 minutes , 2.5 gallons of water is filled in the tub. We are supposed to find the relation between the amount of water and the time taken and we also have to find the definition of the constant of proportionality.
Let w be the amount of water and t be the time taken in minutes.
The rate at which water is filled in the tub =
= 1.25 gallons/minute
The water filled , w = 1.25 t
The constant 1.25 denotes the rate of water flowing in the tub per minute.
Before we give the example of a system wherein it shows a transitive relationship, we must first define what transitive relationship. By definition, a transitive relationship takes place when the elements are interrelated. Among the examples of which is, "<span>If aRb and bRc, then aRc."</span>