1. What is the slope and y-intercept in the following equation? Explain. y = 2/3x + 8
1 answer:
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1-
Given length is 91 cm
1 cm = 0.3937 inch
so, 91 cm = 91* 0.3937 = 35.826 inches
1 day = 24 hours
In 24 hours the bamboo grows = 35.826 inches
In one hour it will grow =
= 1.492 inches per hour. Hence the bamboo grows 1.492 inches per hour.
2-
We have to convert hours and seconds in minutes.
1 hour = 60 minutes
so 10 hours = 60 * 10 = 600 minutes.
60 seconds = 1 minute
so 24 seconds = = 0.4 minutes.
Now we have been given the total time as 10 hours, 39 minutes and 24 seconds
So adding all values in minutes, we get
600 + 39 + 0.4 = 639.4 minutes
So Saturn takes 639.4 minutes to complete one rotation
3-
Given equation is 0.4(30h)+30h
0.4(30h) represents the amount of tax Kimberly has to pay.
Answer:
B and C
Step-by-step explanation:
Rearrange each equation into slope- intercept form
A
3x - 2y = 4 ( subtract 3x from both sides )
- 2y = - 3x + 4 ( divide all terms by - 2 )
y = x - 2 ← not equivalent
B
2x - 3y = 12 ( subtract 2x from both sides )
- 3y = - 2x + 12 ( divide all terms by - 2 )
y = x - 4 ← equivalent
C
- 4(2x - 3y ) = - 48 ( divide both sides by - 4 )
2x - 3y = 12 ← same as B ⇒ equivalent
D
2(x + 6) = 3y
3y = 2x + 12 ( divide all terms by 3 )
y = x + 4 ← not equivalent
E
2x - 3y = 4 ( subtract 2x from both sides )
- 3y = - 2x + 4 ( divide all terms by - 3 )
y = x -
← not equivalent