Question

Express the relationship 4q+7h=28 as a function H equals F(Q), if possible,H=f(q)=

a)28−4Q
b)28−7Q
c)7Q−4
d)4Q+7

Answer 1

The relationship 4q + 7h = 28 can be expressed as a function H = f(q) by isolating h to get H = f(q) = 4 - (4/7)Q, which is not one of the given options.

Step-by-step explanation:

To express the relationship 4q + 7h = 28 as a function H = f(Q), we need to solve for h in terms of q. This involves isolating h on one side of the equation.

Starting with the original equation:

1. 4q + 7h = 28
2. 7h = 28 - 4q
3. h = (28 - 4q) / 7

Simplify the right-hand side to get the function of h in terms of q:

1. h = 4 - (4/7)q

Therefore, the function is H = f(q) = 4 - (4/7)Q, which is not one of the provided options a) 28−4Q b) 28−7Q c) 7Q−4 d) 4Q+7.