The solution of <span>0 = x2 − 5x − 36 is x = - 4 and x = 9
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Answer: the hourly cost of renting a power washer is $5
the hourly cost of renting a generator is $10
Step-by-step explanation:
Let x represent the hourly cost of renting a power washer.
Let y represent the hourly cost of renting a generator.
On his first job, he used each piece of equipment for 6 hours which cost $90. This means that
6x + 6y = 90 - - - - - - - - 1
On his second job, he used the power washer for 4 hours and the generator for 8 which cost $100. This means that
4x + 8y = 100 - - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 6, it becomes
24x + 24y = 360
24x + 48y = 600
Subtracting, it becomes
- 24y = - 240
y = - 240/-24 = 10
Substituting y = 10 into equation 1, it becomes
6x + 6 × 10 = 90
6x + 60 = 90
6x = 90 - 60 = 30
x = 30/6 = 5
Answer:
A. U - 2v = -14i +13j
Step-by-step explanation:
If u = (-2, 5) and v = 6i -4j
Then 2v = 2*(6i-4j) = 12i-8j
u-2v = -2i +5j - (6i -4j)
Distribute the minus sign
-2i +5j -6i+4j
-2i +5j
-12i + 8j
---------------
-14i +13j
Janine’s error is that she incorrectly counted the spaces that point C has shifted. Focusing on point C like Janine did, to get to point C’ you would need to shift 3 units to the left and 5 units down. This would make the new translation rule (x-3, y-5) to get from triangle ABC to triangle A’B’C’.