Please help 40 Points!!!!!
2 answers:
Answer:
0
Step-by-step explanation:
Look at the exponent in the denominator and the numerator.
The denominator has a power of 4, while the numerator only has a power of 3. Therefore the denominator will always be growing faster than the numerator, so at one point it'll be equal to zero. For example.
1/10 = .1
1/100 = .01
1/1000 = .001
1/100000 = .0001
....
1/100000000000000000000000000000000000000 ≈ 0
at this point we can just round that number to zero. As you can see, if the denominator is increasing infinitely faster than the numerator than you can just round the answer to 0
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Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
