X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x
Answer: There are 4 possibilities. They are all listed below with their percents.
You can create a tree diagram to shows all of the possibilities. It will start with 2 branches and then each of those branches will have 2 branches.
The possibilities are: UU, UD, DU, DD
To find the probabilities of each, you have to multiply the percent for each together.
UU = 0.66 x 0.66 = 0.4356
UD = 0.66 x 0.34 = 0.2244
DU = 0.34 x 0.66 = 0.2244
DD = 0.34 x 0.34 = 0.1156
Answer:
The other answer is INCORRECT the CORRECT answer is : 34.00
Step-by-step explanation:
In the chart it shows how much for the number of exemptions. The other answer only included one but the question asks for TWO. Therefore making it 34.00
Answer:
3x2x1=3!
Step-by-step explanation:
using nx(n-1)x_x1=n
3x2x1=3!
hence,3x2x1=3!
so obviously first of all find three sherical objects or balls of varioius sizes to make it easier get a large medium and small sized.
then on scratch paper sketch those objects (im assuming by the looks of it you would trace them if not just draw them then take measuring tape or a ruler across to measure said object) now you arent told what units to measure in but id assume to stick with one unit either inches or cm
mesure the length across which is the circumference
now you would just have to do your calculations by finding the radius and volume and surface area
remember volume is (*units) cubed and suface area is (*units) sqared
