Acar travels 2 1/3 miles in 3 1/2 minutes at a constant speed. write an equation to represent the car travels in miles and minutes write an equation to represent the distance the car travels, d, in the miles for h hours

The speed of car in miles per minute is   miles per minute and

The speed of car in mile per hour is 40 miles per hour,

Step-by-step explanation:

Given as :

The distance cover by car = 2 = miles

The Time taken by car to cover distance =  3 min =   min

The speed o car in miles per minute = S miles/min

So, Speed =

Or, S = mie per min

∴  S = miles per minute

Now, Let The speed of car in miles per hour = x miles/h

So, Time in hour = × = hours

So ,  Speed =

Or, x = miles per hours

Or, x = 40 miles per hours

Hence The speed of car in miles per minute is   miles per minute and the speed of car in mile per hour is 40 miles per hour, answer

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places