Answer: 4/5
Step-by-step explanation:
The slope : rise over run, or the change in y/ change in x
Change in y = 40 (50 - 90)
Change in x = 50 (50 - 100)
40/50 or 4/5
Answer:
Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11.
Answer:
Step-by-step explanation:
Let's "complete the square," which will give us the vertex of this vertical, opens-up parabola:
g(x) =x^2+4x+1 can be rewritten as g(x) =x^2+4x + 4 - 4 +1, where that +4 comes from squaring half of the coefficient of x.
Then we have g(x) =x^2+4x + 4 - 4 + 1 => g(x) = (x + 2)^2 - 3.
Comparing this to y = (x - h)^2 + k,
we see that the vertex, (h, k), is located at (-2, -3).
Plot this vertex. Also, plot the y-intercept (0, g(0) ), which is (0, 1).
This information is enough to permit graphing the function roughly.
![x(t)=\int_0^6(2*e^ \frac{t}{2}-6})\ dt=\left[4*e^ \frac{t}{2}-6t\right]_0^6\\\\ =e^3-36-4=4e^3-40\approx{40.3421...}\\\\](https://tex.z-dn.net/?f=x%28t%29%3D%5Cint_0%5E6%282%2Ae%5E%20%5Cfrac%7Bt%7D%7B2%7D-6%7D%29%5C%20dt%3D%5Cleft%5B4%2Ae%5E%20%5Cfrac%7Bt%7D%7B2%7D-6t%5Cright%5D_0%5E6%5C%5C%5C%5C%20%3De%5E3-36-4%3D4e%5E3-40%5Capprox%7B40.3421...%7D%5C%5C%5C%5C)