Starting from a parent function 
, if you add a constant to the whole function, i.e. you perform the transformation
you shift the graph of the parent function by 
units, upwards if is positive, downwards otherwise.
In this case, so, you're shifting, the graph of 
5 units upwards. Since the parent function passes through the point 
, because 
, the shifted graph mantains the same 
coordinate, but the 
coordinate is increased by 5, because of the 5 units upwards shift.
Answer:
None. She gave half to one person then the other half to another person.
Step-by-step explanation:
Hope this is correct, if not feel free to let me know. I'm sorry in advance if this is wrong.
Answer:
The short answer is there isn’t.
Start by writing each of these as an expression:
x * y = 60
x + y = 7
Next, solve each for the same variable; in this case, y:
(x * y) / x = 60 / x
.: y = 60 / x
(x + y) - x = 7 - x
.: y = 7 - x
Next, replace y of the second expression to the first
y = 60 / x & y = 7 - x
.: 7 - x = 60 / x
Now, solve for x:
(7 - x) * x = (60 / x) * x
.: x * 7 - x^2 = 60
This is quadratic, so write it in the form of ax2 + bx + x = 0
(-1)x^2 + (7)x + (-60) = 0
.: a = -1, b = 7, c = -60
Finally solve for b:
x = (-b +- sqrt(b^2 - 4*a*c)) / 2a
.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)
.: x = (-7 +- sqrt(49 - 240)) / -2
.: x = (-7 +- sqrt(-191)) / -2
The square root of a negative value is imaginary and thus there’s no real answer to this problem.
you have negative -12
turn this into a positive (12)
12 plus 18
= 30
