Step-by-step explanation:
first step while implementing the elimination method is to look at the numbers which can be multiplied to which in order to have like terms as solved below
as you can see in equation number 2 that the number three can be multiplied with equation 1 in order to have like terms so you can cancel them out
so , multiply 3 with the whole of equation 1
3( 2x + y = -4 )
= 6x + 3y = -12
( keep in mind the sign of the number)
5x -3 y = 1
now ,
we have
6x + 3y = -12
5x -3y = 1
as you can see that now we have like terms and when we add both these equations the like terms cancel out each other as they have opposite signs ( + - gives you - )
so , once you add the like terms this is what you will get
6x + 5x +3y-3y -12+1
= 11x + 0 - 11
then you can simplify this further for x first
11x = 11
x = 11/11
<u>x </u><u>=</u><u> </u><u>1</u>
now we have the value of x let's simply further for y
let's take equation 2
5(1) - 3y =1
5 -3y = 1
5-1 = 3y
4 = 3y
<u>4</u><u>/</u><u>3</u><u> </u><u>=</u><u> </u><u>y </u>
to confirm your values you can put these values in one of the two equations given initially , let's use equation two to check .
5x-3y = 1
( now let's place the values of x and y into the equation and see if our answer is 1 )
5 (1) - 3 (4/3)
= 5 - 4
= 1
it is correct
- - = + 9-(-4)= 9+4 so minus minus becomes plus. and 13 is the answer.
Answer: B
Step-by-step explanation:
4/1/2 is 8 and B is the only answer that has a total number of 4 and is divided into 8.
Answer:
x = 64 degree , 2x = 128 degree
Step-by-step explanation:
2x = 128 (being alternate interior angles)
x = 128/2
x = 64 degree
2x
=2*64
=128 degree
Answer:
Step-by-step explanation:
we are given
(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it
we can simplify it
(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):
we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):
Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):
we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):
Since, it is quadratic equation
so, its range will be
now, we can find common range
so, range will be
∪.............Answer