Answer:
For the sum of the digits of Michelle’s father to drop to 1/3 of its’ former value, the second digit must go from 9 to 0, in one year.
Thus, if he is 39 this year, the sum of the digits of his age will be 12. Next year, when the sum of the digits would be 4+0, or 4, then the digits of his age would be 1/3rd of their former value.
Therefore, he is 39, and will be 40 next year
Step-by-step explanation:
Answer:
2) (-∞, 17]
Step-by-step explanation:
The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.
The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.
y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17
The range of the function is (-∞, 17].
57 + x + x + 130 = 167
57 + 2x + 130 = 167
187 + 2x = 167
- 187 - 187
---------------------------
2x = -20
------ -------
2 2
x = -10
A)
Earlier, The length of the angelfish =
inches
Now, the length of angelfish =
inches
We have to determine the grown length of angelfish
=
- 
= 
LCM of '2' and '3' is '6',
= 
=
inch
Therefore, the angelfish has grown by
inch.
B)
We have to determine the increased length of angelfish in feet.
Since
foot
So, 
= 0.069 foot.
Minus them both to get your answer