Since the first car travels 55 miles per hour and starts an hour early, by 4:00 it is 55 miles away from the other car. Therefore, the equation is 55+a(some value)+b(another value)=380. If a car travels 55 miles per hour, that means that we add 55 for each hour and 55*x (if x is the number of hours) is the distance traveled. We have accounted for the first hour, so this is similar to saying that they start 55 miles away at 4:00 and go from there. For the other car, since it travels 75 miles per hour, its distance in hours is 75*x (the amount of time spent should be the same if we start at 4:00). Therefore, since they travel away from each other, our total distance is 55+55x+75x=380. Subtracting 55 from both sides (and combining like terms), we get 130x=325. Next, we divide both sides by 130 to get 2.5 hours, or 2 hours and 30 minutes
hope that helps
Answer:
Step-by-step explanation:
B A B B
On Desmos, the derivative (slope) of a function can be shown by using a "prime" (apostrophe) after the function name. Here, we've drawn a dashed blue curve to show where the slope of g(x) exceeds that of f(x). g(x) has a greater slope for all values of x that are more than 4. Any interval bounded by 4 on the left end will be an interval in which the slope of g(x) exceeds the slope of f(x).
Without the graphing calculator, you can estimate that that a line parallel to f(x) will be tangent to g(x) at about x=4. Then for points to the right of that, g(x) has greater slope. Your interval [4, 5] is the only offering for Blank 1 that is appropriate.
The slope of any linear function will "remain constant", so you only need to decide if the slope of g(x) is increasing or decreasing. Your consideration of the curve already should tell you the slope will "increase" as x gets larger.
The value of f(x) is very close to the value of g(x) at x=7. They are the same when x is about x = 7.016. Up to that point, f(x) is larger. f(7) = 27; g(7) = 26.8435456. There should be no argument.
An exponential function eventually exceeds any kind of polynomial function as x gets large.
Answer:
Micah will have $15 dollars left after 7 days.
Step-by-step explanation:
50/5 is 10, so Micah could stay for 10 days. But, if he wants to have $15 left, he could only stay for 7 days.
Answer:
(a) θ = π + 4πn
(b) θ = π
Step-by-step explanation:
(a) sin(θ/2) − 1 = 0
sin(θ/2) = 1
θ/2 = π/2 + 2πn
θ = π + 4πn
(b) Try different values of n.
n = -1, θ = -3π
n = 0, θ = π
n = 1, θ = 5π
If 0 < θ < 2π, then θ = π.
The answer to your question i think is b
