Answer:
Ok, we know that we can write a horizontal translation as:
y' = f(x - A)
where if A is positive, this moves the graph of f(x) A units to the right.
Why is this?
Ok, let's compare:
y = f(x)
and
y' = f(x - A)
in y, when x = 0 we have f(0).
While to have this same point in y', we need to evaluate in x = A.
f(A - A) = f(0).
Then the value f(0) is now at x = A, this means that the point moved A units to the right.
And you can do this for all the values, so you will find that the entire graph of f(x) has ben moved A units to the right.
Answer:
4.47
Step-by-step explanation:
a^2+b^2=c^2
2^2+4^2=c^2
4+16=c^2
20=C^2
= 
4.47=c
Answer:
A) g is increasing, and the graph of g is concave up.
Step-by-step explanation:
g'(x) = ∫₀ˣ e^(-t³) dt
Since e^(-t³) is always positive, ∫₀ˣ e^(-t³) dt is positive when x > 0. So the function is increasing.
Find g"(x) by taking the derivative using second fundamental theorem of calculus:
g"(x) = e^(-x³)
g"(x) is always positive, so the function is always concave up.
Answer:
Step-by-step explanation:
What you are trying to do is a nice way to solve this problem. Without knowing any physics, you are using what math you know to get the answer. You are actually very close to being correct, and you are right. You do have to divide by 60.
Here's why and it is the one bit of physics you have to know.
The speed is km/hour. That word hour is the culprit. Your time is in minutes and you have to get it into hours. In physics, the units have to be consistent.
So ...
b1 = 19 minutes which is 19 min [1 hour / 60 minutes] = 19/60 = 0.31667 hour
b2 = 26 minutes which is 26 min [ 1 hour/60 minutes] = 26/60 = 0.4333 hour
h = 40 km/hour
Area = (0.31667 hour + 0.4333 hour)*40 km/hour /2
Area = 0.75 hour * 40 km/hr //2
Area = 15 km
Answer:
Step-by-step explanation:
ajeroeriwrawr
