Question

H(x) = 49 - 3.8x; find H(x) = 0.

Answer 1

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.