Answer:
the point where the two coordinates meet
Step-by-step explanation:
Answer:
g(x) = -x² - 4
Step-by-step explanation:
In this case, we are only changing <em>a </em>(reflection and vertical shrink/stretch) and <em>k </em>(vertical movement)
<em>k </em>= -4 because we are moving 4 units down
<em>a </em>= -1 because we are just reflecting over the x-axis
Answer:
y=-3x-8
Step-by-step explanation:
y=1/3x+9
slope is 1/3
perpendicular slope = m
(m)(1/3) = -1
m = -3
Point slope form
(y+2)/(x+2)=-3
y+2=-3x-6
y=-3x-8
9514 1404 393
Answer:
f^-1(x) = 4+∛((x-6)/5)
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
then write the answer in functional form.
![\displaystyle x=f(y)\\\\x=5(y-4)^3+6\\\\x-6=5(y-4)^3\\\\\frac{x-6}{5}=(y-4)^3\\\\\sqrt[3]{\frac{x-6}{5}}=y-4\\\\y=4+\sqrt[3]{\frac{x-6}{5}}\\\\\boxed{f^{-1}(x)=4+\sqrt[3]{\frac{x-6}{5}}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3Df%28y%29%5C%5C%5C%5Cx%3D5%28y-4%29%5E3%2B6%5C%5C%5C%5Cx-6%3D5%28y-4%29%5E3%5C%5C%5C%5C%5Cfrac%7Bx-6%7D%7B5%7D%3D%28y-4%29%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%3Dy-4%5C%5C%5C%5Cy%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%5C%5C%5C%5C%5Cboxed%7Bf%5E%7B-1%7D%28x%29%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%7D)
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The graph shows the function and its inverse to be reflections of each other in the line y=x, as they should be.
Answer:
17, 558 employees
Step-by-step explanation:
Altogether = 70,010 employees , First location = 34, 857 employees, second location = 17, 595 employees, Third location = ?
Let the number of employees in the third location be x
70,010 + 17, 595 + x = 70,010
x = 70, 010 - 52452
x = 17, 558( Answer)
17, 558 employees work in the third location
