Answer:
B
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here the vertex = (- 2, - 3 ) , then
y = a(x - (- 2))² - 3 , that is
y = a(x + 2)² - 3
To find a, substitute any point on the graph into the equation
Using the coordinates of the y- intercept (0, 5 )
5 = a(0 + 2)² - 3 ( add 3 to both sides )
8 = a(2)² = 4a ( divide both sides by 4 )
2 = a
y = 2(x + 2)² - 3 → B
Pretty sure the distance between them is 11 correct me if I’m wrong
If Jim drives 25miles/hr and he is 30 miles away you would need to solve for the number of hours it would take to get there. So, you can set up a proportion: 25miles/1hr=30miles/xhr cross multiply to get 25x=30 divide both sides by 25 and your answer is 1.2 hours.
Answer:
since ![17+24=41](https://tex.z-dn.net/?f=17%2B24%3D41)
a) ![\frac{\binom{17}{12}}{\binom{42}{12}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbinom%7B17%7D%7B12%7D%7D%7B%5Cbinom%7B42%7D%7B12%7D%7D)
b) ![\frac{\binom{24}{12}}{\binom{42}{12}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbinom%7B24%7D%7B12%7D%7D%7B%5Cbinom%7B42%7D%7B12%7D%7D)
c) ![\frac{\binom{17}{8} \cdot \binom{24}{4}}{\binom{42}{8}\cdot\binom{36}{4}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbinom%7B17%7D%7B8%7D%20%5Ccdot%20%5Cbinom%7B24%7D%7B4%7D%7D%7B%5Cbinom%7B42%7D%7B8%7D%5Ccdot%5Cbinom%7B36%7D%7B4%7D%7D)
d) ![\frac{\binom{17}{6}\cdot\binom{24}{6}}{\binom{17}{6}\cdot\binom{36}{6}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbinom%7B17%7D%7B6%7D%5Ccdot%5Cbinom%7B24%7D%7B6%7D%7D%7B%5Cbinom%7B17%7D%7B6%7D%5Ccdot%5Cbinom%7B36%7D%7B6%7D%7D)
Just calculate these. If there is anything wrong just let me know.
From the selections given, select
E) None of the above