Step-by-step explanation:
solving functions separately.
1st: from given data taxi charges $1.00 for the first mile.so it is first rule of function.

2nd: the company charge $0.20 per tenth of a mile.so 2nd rule of the function will be

simplifying


, 
piece wise function is f(x)={2 , 0<x<1
{x , 1<x<2
the graph of the function is given below
Answer:
approximately 25.3 square feet.
Step-by-step explanation:
a homeowner wants to tile the 4 walls and the floor of her pool the pool is 33 ft. in length by 14 ft. in width the shallow end is 3 ft. deep, and the deep end is 6.5 ft. approximately how many square feet of tile does she need to purchase?
Direct variation is of the form: y=kx (inverse variation is of the form y=k/x)
Assuming that k is positive :)
y increases as x increases and y decreases as x decreases. There is a direct ratio that is described by k. k=y/x.
Answer:
y = 11.54°
Step-by-step explanation:
Reference angle = y°
Opposite side length = 4
Hypotenuse = 20
Apply trigonometric function SOH:




y = 11.536959° ≈ 11.54° (nearest hundredth)
891
prime factors number to factorize
3 297
3 99
3 33
3 11
11 1
Therefore, the prime factorization of 891 is 1×3×3×3×3×11= 1×3^4×11, or 1*81*11