<span>number of gallons of gas, x
</span><span>total cost of the gas, y
</span>
3.75x <= 12
x <= 3.2
<span>The greatest amount of gas Berto can buy is 3.2 gallons</span>
Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is

Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as

or

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
Six hundred thousand ,+ Eighty thousand ,+ ten.
9514 1404 393
Answer:
√42 ≈ 6.48074
Step-by-step explanation:
Put the values in place of the corresponding variables and do the arithmetic.

_____
42 = 2·3·7 is not a perfect square, nor does it have any perfect square factors. Its square root is irrational.
4) the distance between the x-values is 3 and the distance between the y-values is 4
3² + 4² = d²
9 + 16 = d²
25 = d²
√25 = d
5 = d
Answer: C
6)
d = 
d = 
d = 
d = 
d = 
d = 
d = 6.1
Answer: A