Here are the steps on how I did it.
F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer:
The y-intercept is (0, 4).
Step-by-step explanation:
At the y-intercept x = 0 so
y = 4(3^0)
y = 4*1 = 4.
So the y-intercept is (0, 4).
Answer:
B. $1.60 per notebook
Step-by-step explanation:
Because:
4 notebooks ÷ $2.50 (4 notebooks cost) = $1.60 per notebook
If the recipe makes enough stew for 6 people, and the ingredients cost $9.75, then for 24 people it will cost $x. You can write this statement as
6 people - $9.75,
24 people - $x.
Or as proportion,

Find x:

Answer: It would cost $39 to serve 24 people