Hey there! This situation can be modeled and solved using a system of equations. We'll use 
to represent the number of boys and 
to represent the number of girls.
Since we know what equals, we can substitute it into the first equation.
Now that we know the number of girls, use the second equation to get the number of boys.
<span>I am assuming that this is a parametric curve.
We see that the curve intersects the x-axis when:
t - t^2 = 0 ==> t = 0 and t = 1.
Then, since x = 1 + e^t is an increasing function, the curve is being traced exactly once on the interval (0, 1).
Using the fact that the area under the curve given by the parametric equations x = f(t) and y = g(t) on (a, b) is:
A = ∫ f'(t)g(t) dt (from t=a to b),
and that f(t) = 1 + e^t ==> f'(t) = e^t, the area under the curve is:
A = ∫ e^t(t - t^2) dt (from t=0 to 1)
= e^t(-t^2 + 3t - 3) (evaluated from t=0 to 1), by integrating by parts
= e(-1 + 3 - 3) - (0 + 0 - 3)
= 3 - e. </span>
Answer:
B) -3x+y=1
Step-by-step explanation:
y=mx+b
b=y-intercept=1
m=slope=3/1
y=3x+1
-3x+y=1
Put in 1 for x and which problem gives you 7
the answer is y=7x
Answer:
no.
Step-by-step explanation:
The sum of two side lengths have to be <u><em>greater</em></u> than the value of the remaining side length.
Hope this helps. Have a nice day you amazing bean child.
