Answer:
[tex]H( - 2) = - 7 \frac{1}{5} [/tex]
Step-by-step explanation:
We want to evaluate the equation
[tex]H(y) = \frac{9}{5} \times 2y[/tex]
at y=-2
We just have to substitute to obtain;
[tex]H( - 2) = \frac{9}{5} \times 2 \times - 2[/tex]
We now multiply to get:
[tex]H( - 2) = \frac{9}{5} \times - 4[/tex]
This is the same as:
[tex]H( - 2) = \frac{9}{5} \times \frac{ - 4}{1} [/tex]
We multiply the numerators separately and denominators separately to get:
[tex]H( - 2) = \frac{9 \times - 4}{5 \times 1} [/tex]
[tex]H( - 2) = \frac{ - 36}{5} [/tex]
This implies that
[tex]H( - 2) = - 7 \frac{1}{5} [/tex]