Perfect squares are:
1,4,9,16,25,36,49,64,81,100,....
the sum of the digits of our biggest number is 16 so any perfect square bigger than 16 doesn't work for us
1-
1+0=1 so any number containing the digits will work(keep in mind we only will look into whole numbers because digits can't be negative or have fractions or be irrational)
thereful 10 works for our category
2-
0+4=4
1+3=4
2+2=4
22 13 31 and 40 will work two
3-
0+9
1+8
2+7
3+6
4+5
90 18 81 27 72 36 63 45 54
4-
0+16
1+15
2+14
3+13
4+12
5+11
6+10
7+9
8+8
79 97 88
so our set of numbers contain:
10 22 13 31 40 90 18 81 27 72 36 63 45 54 79 97 88
This is a downward facing parabola, so its range comes in the form
where m is the y coordinate of the vertex of the parabola.
We can find the x coordinate of the vertex using
And if we plug -1 in the equation we get the y coordinate of the vertex:
So, the range is the interval
Answer:
1. m= -2 1/3
2. m=35 (35 divided by -5 is -7 and -7+1 = -6)
3. m=-4 (2 times -4 is -8, 4+-8 equals -4)
Step-by-step explanation:
