The distance (in miles) traveled by a cyclist is given by d(t) = 5t, where t is the time in seconds. the domain of the function includes

a- all real numbers that are perfect squares
b- all positive real numbers and zero
c- all real numbers other than 5
d- all real numbers

b. All positive  real numbers and zero

Step-by-step explanation:

We are given that  the distance traveled by a cyclist is given by

Where t=Time in seconds

We have to find the domain  of the function .

We know that distance is always positive.

Given function is linear function .

We know that domain of linear function is set of all real numbers.

But t is time and t is always positive.

Therefore, domain of function includes  all positive real numbers and zero.

b. All  positive real numbers and zero.

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -