Question

Can anybody answer this for me please?

Answer 1

1. f(2) = 6

2. Slope, m =
`$ (7)/(2) $`

Explanation:

Problem 1:

Given f(x) = |3x|

To find f(2), substitute x = 2.

⇒ f(2) = |3(2)|

= |6|

= 6

Problem 2:

The given equation is: 2y = 7x + 8

The general equation of the line is: y = mx + c, where m is the slope of the line.

Therefore, we reduce the given equation to the general form of the line.

Dividing the given equation by 2, we get:

y =
`$ (7)/(2)x + (8)/(2) $`

`$ \implies y = (7)/(2)x + 4 $`

Thus, slope, m =
`$ (7)/(2) $` which is the answer.

Problem 3:

Given with 14 gallons of gas, we can drive 392 miles.

The capacity of the tank if 14 gallons.

If 14 gallons can take us 392 miles, then 1 gallon of gas should take us:
`$ (392)/(14) $` miles.

= 28 miles/gallon of gas

Therefore, with 3.7 gallons of gas, we can travel 3.7 X 28 miles

= 103. 6 miles