Topic- Power Functions The function f(x)=x^4 has been transformed, resulting in the functions below. Tell how you would create the new function from the old function.
a. H(x)=(x-3)^4+7
b. M(x)=-(x+7)^4-10
c. S(x)=(-x)^4+8

Factorize: x^2+8x+10 i just solved it but i don't know if the process is correct

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Simplify 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of 6 . (1 point) 5 square root of 14 end root minus 7 square root of 12 5 square root of 7 end root minus 7 square root of 6 7 square root of 12 end root minus 5 square root of 14 7 square root of 6 end root minus 5 square root of 7