Answer: (3) f(8) = g(8)
<u>Step-by-step explanation:</u>
Let's compare the values of f(x) and g(x) when x = 0, 2, 8, and 4
<u> f(x) </u> <u> g(x) </u> <u>Comparison</u>
f(x) = 2x - 3
f(0) = 2(0) - 3
= -3 = 1 f(0) < g(0)
f(2) = 2(2) - 3
= 1 = 4 f(2) < g(2)
f(8) = 2(8) - 3
= 13 = 13 f(8) = g(8)
f(4) = 2(4) - 3
= 5 = 7 f(4) < g(4)
The only statement provided that is true is f(8) = g(8)
Answer:
The expression is given as:
.
Step-by-step explanation:
Sophia expects the number of cows, C, on her farm t years from now to be modeled by the function:
Additionally, she expects the supply of hay, F, in tons, that her crops can provide for each cow t years from now to be modeled by the function
Let H be the total yearly amount of hay produced in Sophia's farm (in tons) t years from now.
Total amount of Hay produced in sophia's farm= Number of cows in farm×Amount of hay required for each cow.
i.e. H(t)=C(t)×F(t)
and we know that
Hence,.
Hence, the hay produced on Sophia's farm is used exclusively to feed her cows i.e. we need to write the formula of H ( t ) in terms of C(t) and F (t) is:
.