Answer:
Polynomials
Step-by-step explanation:
We are given with two equations and is asked to determine the solution of the system of linear equation. via elimination, we add the two equations to eliminate 3x, this means y should be equal to 9 and from the first equation, x should also be equal to 9, too
Get into form a(x-h)²+k
complete the square
-3x²-18x-31
group x terms
(-3x²-18x)-31
undistribute the -3
-3(x²+6x)-31
take 1/2 of the linear coefient (6) and squaer it
6/2=3, 3²=9
add positive and negative of it inside parenthasees
-3(x²+6x+9-9)-31
complete the square
-3((x+3)²-9)-31
expand
-3(x+3)²+27-31
-3(x+3)²-4 is vertex form
Answer:
Step-by-step explanation: lets say, rajiv has x marbles.
given: aman has 40 marbles
and aman's marbles are 25 more than half of rajiv's marbles.
so, aman has 25 + x/2 marbles
40 = 25 + x/2
40 - 25 = x/2
15 = x/2
15*2 = x
30 = x
thus, rajiv has 30 marbles.
