The equivalent limit of the function as x tends to zero is -1/2
Given the limit of a function:

Taking the limit of the function as x tends to zero

Applying the L'hospital rule will give:

Applying the l'hospital rule the second time:

Hence the equivalent limit of the function as x tends to zero is -1/2
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Answer: 2¹/₄ cups of water
Step-by-step explanation:
The formula calls for water and lemon juice to be mixed in the ratio:
1/2 : 1/3
If the quantity of lemon juice increases to 1 1/2 which is 3/2 then you can find the quantity of water required using direct proportion:
1/2 : 1/3
x : 3/2
Cross multiply to get:
1/3 x = 3/4
x = 3/4 ÷ 1/3
x = 3/4 * 3/1
x = 9/4
x = 2¹/₄ cups of water
4000 for 4200
2000 for 2100
(If you meant a different answer please explain)
The equation of the second line would be y = -x + 2.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Two linear graphs intersect at (3, -1).
One of the graphs has equation y = x - 4 and the other one passes through (4, -2).
m = ( -2 + 1) / ( 4 - 3)
m = -1 / 1 = -1
The equation of the second line
y + 2 = m ( x - 4)
y + 2 = -1 ( x - 4)
y = -x + 2
Hence, the equation of the second line would be y = -x + 2.
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Answer:
is there a graph or something? I will come back to finish this ok. ok
Step-by-step explanation: