20+4x=76 subtract 20 from both sides
4x=56 divide both sides by 4
x=14
So he was driving at 55+14=69 mph
A)During 0 week old factory have 40 more products than the new factory.
B)I am so sorry that I forgot how to find the. Rate of growth :)
C)at week 4 the new factory exceed the old factory because new factory produce 337 products and old factory only produce 336.74.
Hope it will help:)
Multiply numerator and denominator by
![\frac{ \sqrt{3} -\sqrt{6} }{ \sqrt{3} = \sqrt{6} } ](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20-%5Csqrt%7B6%7D%20%20%7D%7B%20%5Csqrt%7B3%7D%20%3D%20%5Csqrt%7B6%7D%20%7D%20%0A)
Things should simplify pretty nicely.
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Answer:
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Shown below
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Step-by-step explanation:
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A piecewise-defined function is a function defined by two or more equations over a specified domain. From the figure, our piecewise function is:
![\left \{ {{\frac{1}{2}(x+1)^2+1 \ if \ x \leq 1} \atop {(x-2)(x-4) \ if \ x>1}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B%5Cfrac%7B1%7D%7B2%7D%28x%2B1%29%5E2%2B1%20%5C%20if%20%5C%20x%20%5Cleq%201%7D%20%5Catop%20%7B%28x-2%29%28x-4%29%20%5C%20if%20%5C%20x%3E1%7D%7D%20%5Cright.)
This function has been plotted below and we know some properties:
- The domain is the set of all real numbers
- The range is the set of all real numbers
- The function is the combination of two parabolas
- The point at which the these two parabolas meet is (1,3)
is the parabola in purple while
is the parabola in orange.