Final answer:
To solve H(x) = 49 - 3.8x for when H(x) = 0, you set the equation to equal zero and solve for x, which gives you approximately x = 12.89.
Step-by-step explanation:
To find the value of x when H(x) = 0 for the given function H(x) = 49 - 3.8x, we need to set the function equal to zero and solve for x:
0 = 49 - 3.8x
First, we'll move the term '3.8x' to the other side of the equation by adding it to both sides:
3.8x = 49
Next, to isolate x, we divide both sides of the equation by 3.8:
x = \frac{49}{3.8}
Now we perform the division to find the value of x:
x = 12.8947...
Therefore, the value of x that makes H(x) equal to zero is approximately 12.89.