Both the equation show a graph of a parabola. The equation y=-x^2+1 is a parabola opening downward since the x variable has a negative sign. While the equation y=x^2 is also a parabola opening upward since x^2 is positive. Both parabola have axis of symmetry on the y-axis. Vertex for the first parabola is on (0,1) while the second parabola is at the origin.
Answer:
Domain of y=
: is x>=1
Interval notation: [1,∞)
Step-by-step explanation:
We have y=![\sqrt[4]{x-1}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx-1%7D)
1) The domain of a function is the set of x values for which the function is real and defined.
2) So, x-1 should be positive means x-1>=0, because fourth root of any negative value would be a complex number and not a real number.
3) Now we solve the inequality x-1>=0
4) Adding 1 to both sides of the inequality we get,
x-1+1 > = 0+1
5) Cancel out -1 and +1 from the left side
6) We get x>=1
It concludes that for the domain of the given function, the x value must be greater than or equal to 1
Answer:
30 = total muffins
Step-by-step explanation:
To determine how many muffins were eaten, we take the total muffins times the fraction that were eaten
eaten muffins = total muffins * fraction
25 = total muffins* 5/6
Multiply each side by 6/5
6/5*25 = total muffins *5/6*6/5
30 = total muffins