For a given input value x, the function f outputs a value y to satisfy the following equation. y+6=5(x−4) write a formula for f(x) in terms of x. f(x)= would be nice 

A formula for f(x) in terms of x is f(x) = 5x - 26

Given the function y+6=5(x−4), we are to make y the subject of the formula as shown:

Expand using the distributive law:

y+6=5(x−4)

y + 6 = 5x  - 20

Subtract 6 from both sides

y + 6 - 6 = 5x - 20 - 6

y = 5x - 26

Since y is a function of x, hence f(x) = 5x - 26

Learn more on subject of the formula here: link

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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