For this case we have the following system of equations:
Equating the equations we have:
Adding 3x to both sides of the equation:
Subtracting 9 from both sides of the equation:
Dividing between -3 on both sides of the equation:
We look for the value of "and":
Thus, the solution of the system is (2, -3)
Answer:
(2, -3)
Answer:
Step-by-step explanation:
y = 0.2x + 17......the slope is 0.2 (or 1/5)....in y = mx + b form, the slope can be found in the m position
(x,18).....y = 18 (25,y).....x = 25
y = 0.2x + 17 y = 0.2x + 17
18 = 0.2x + 17 y = 0.2(25) + 17
18 - 17 = 0.2x y = 5 + 17
1 = 0.2x y = 22..........(25,22)
1 / 0.2 = x
5 = x.................(5,18)
Simply going to factorise this:
v(v - 1) -2(1 - v):
Note 1 - v = -(v-1)
<span>v(v - 1) -2(1 - v)
</span>
<span>v(v - 1) -2(-(v - 1))
</span>
<span>v(v - 1) +2(v - 1)</span>
(v + 2)(v - 1)
Answer:
A.4 B.5 C.3 D.4/3
Step-by-step explanation:
i just did it
You have 3 unknowns: a, b, and c. That means you have to have 3 equations to solve for the values of them. 3 unknowns needs 3 different equations. We will use the first 3 points in the table and thank God that one of them has an x value of 0. We will replace the x and y in the general form of the quadratic with the x and y from the table, 3 times, to find each variable. Watch how it works. We will start with (0, 15).
. That gives us right away that c = 15. We will do the same thing again with the second value in the table along with the fact that c = 15 to get an equation in a and b.
which simplifies to
4a+2b=.5. Now do the same for the third set of coordinates from the table.
which simplifies down to
16a+4b=2. Solve those simultaneously. Multiply the first bolded equation by -4 and then add that one to the second bolded one.
gives us
-16a-8b=-2. Add that to the second bolded equation and the a terms cancel out giving us -4b=0 so b = 0. Subbing that back in we solve for a: 16a+4(0)=2 and 16a = 2. Therefore, a = 1/8. The quadratic then is
