Ans(1):
Given equation is f(x)=-1.5x+6
we can plug any number like x=0 and x=2 to find the f(x) also called y-value
plug x=0
f(x)=-1.5x+6 =-1.5*0+6 =0+6 =6
Hence first point is (0,6)
plug x=2
f(x)=-1.5x+6 =-1.5*2+6 =-3+6 =3
Hence first point is (2,3)
now we can graph both points then join them to get final graph of f(x)=-1.5x+6
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Ans(2):
We can repeat exactly same process for f(x) = -1/2x-5.
So the final graph will look like attached picture:
Rearrange to: x^2 + 18x - 25 = 0
Then factorise (I like to do it by completing the square):
(x + 9)^2 -81 -25 = 0
(x + 9)^2 = 106
x + 9 = sqrt(106)
The sol'ns are:
x = -9 + and - sqrt(106)
Answer:Find the water height for a weir that is 3 feet long and has flow of 38.4 cubic feet per second. SOLUTION: Therefore, the water height for the weir is 4 feet.
Answer:
543.4 liters
Step-by-step explanation:
The conversion 1 gallon is 3.8 liters can be used as the rate.
To convert gallons into liters, multiply the numbers of gallons by the rate, 3.8.
143 gallons X 3.8 = 543.4 liters
Therefore 143 gallons is 543.4 liters.
Percent change = (new number - old number)/(old number) * 100
percent change = (127 - 136)/(136) * 100
percent change = -6.62%
Since the percent change is negative it is a percent decrease.
Answer: 6.62% decrease.
