Answer:
The points of intersections are: <u>(1.5 , 1.25) and (4 , 0)</u>
Step-by-step explanation:
Given:
y = x² - 6x + 8 ⇒ (1)
2y + x = 4 ⇒ (2)
And required the solution of the system of equations.
By graphing the system of equations, the points of intersections are:
<u>(1.5 , 1.25) and (4 , 0)</u>
See the attached figure.
<u>Another solution:</u>
By substitution of y from the second equation at the first equation.
From (1) ⇒ y = 0.5 (4-x)
At (2): and solve for x
0.5 ( 4 - x ) = x² - 6x + 8 ⇒ multiply both sides by 2
4 - x = 2x² - 12x + 16
2x² - 12x + 16 + x - 4 = 0
2x² - 11x + 12 = 0
The general solution of the quadratic equation:
so, a = 2 , b = -11 and c = 12
∴
∴ at x = 4 ⇒ y = 0.5 (4-x) = 0.5 * 0 = 0
And at x = 1.5 ⇒ y = 0.5 (4-x) = 0.5 * ( 4 - 1.5 ) = 0.5 * 2.5 = 1.25
<u>So, the solution are the points (4,0) and (1.5 , 1.25)</u>
Answer:This is mutually exclusive
P(A) = 1/5
P(B) = 7/20
The formula is P= P(A)+P(B)
P = 1/5+7/20= 11/20
Step-by-step explanation:
8x7=56
56+4=60
7 1/2
hope it helped!
Answer:
2+2
Step-by-step explanation:
There ya go
Answer:
It will take to long to type it all but i think i figured it out. The children would have to take several trips. 2 kids would go, then one kid goes back to get the other kid, crosses again, then goes back, gets out, and two witches go (the parents of the kids on the other side), leaving one set of witch and child still needing to cross. One of the children on the other side brings the boat back and picks up the left over kid, now just one witch needing to cross, the two kids cross then the one kid with his mother on the other side takes the boat back again to get his mom.
And then when it gets to the other side the witch there eats it
Step-by-step explanation:
