Y= 3( x -2 )² - ( x-5 )² = 3 ( x² - 4 x + 4 ) - ( x² - 10 x + 25 ) =
= 3 x² - 12 x + 12 - x² + 10 x - 25=
= 2 x² - 2 x - 13 =
= 2 ( x² - x + 1/4 - 1/4 ) - 13 =
= 2 ( x - 1/2 )² - 1/2 - 26/2 = 2 ( x - 1/2 )² - 27/2
Answer: D)
Answer:
B
Step-by-step explanation:
You are given two sides and the included angle, so you need to use the law of cosines.
c² = a² + b² - 2ab cos C
c² = 12² + 13² - 2(12)(13)cos 134°
c² = 313 - 312(-0.6947)
c² = 529.733
c = 23.016
Now use the law of sines.
c/sin C = a/sin A
23.016/sin 134° = 12/sin A
sin A = 12 × sin 134° / 23.016
sin A = 0.37504
A = 22.03°
B = 180° - 134° - 22.03°
B = 23.97°
m<A = 22°; m<B = 24°; c = 23 km
Answer: B
So, let's look at the problem once again.
8%, or 8/100 of the bag were green jelly beans.
Let's see what we can do to find out a number of other jelly beans, not including the green ones.
We know that 92% of jelly-beans are not green.
92% is 11.5 times more than 8%
(92/8)
24 (or 8%) times 11.5 = 276
276 - number of jelly beans that are not green.
276 plus 24 = 300.
Answer: 300 jelly beans were in one bag.
Answer:
Ordered pair, (1, 5/2) does not satisfy the given equation 3x-3y=-3
Step-by-step explanation:
![3x-3y=-3](https://tex.z-dn.net/?f=3x-3y%3D-3)
Here ![(x, y) = (1, \frac{5}{2} )](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%3D%20%281%2C%20%5Cfrac%7B5%7D%7B2%7D%20%29)
![3(1)-3(\frac{5}{2} )=-3](https://tex.z-dn.net/?f=3%281%29-3%28%5Cfrac%7B5%7D%7B2%7D%20%29%3D-3)
![3- (\frac{15}{2} )=-3\\6-15=-6\\-9\neq -6](https://tex.z-dn.net/?f=3-%20%28%5Cfrac%7B15%7D%7B2%7D%20%29%3D-3%5C%5C6-15%3D-6%5C%5C-9%5Cneq%20-6)