Answer:
Step-by-step explanation:
Given :
...................... equation 1
........................ equation 2
solving the system of linear equation by substitution method , substitute equation 1 into equation 2 , that is
collect the like terms
therefore :
substitute into equation 1 to find the value of y , that is
Therefore :
Answer:
A. B and C are functions
Step-by-step explanation:
Given
See attachment for mapping diagrams
Required
Which represent function
For a mapping to be considered a function, each element of the input set must only point to 1 element of the output set.
Base on the above analysis, we have:
<u>Map A</u>
1 points to 6; 2 to 7; 3 to 8; and 4 to 9
<em>This is a function</em>
<u>Map B</u>
2 points to 0; 4 to 0; 6 to 0; and 8 to 0
<em>This is a function</em>
<u></u>
<u>Map C</u>
1 points to 8; 3 to 8; 5 to 9; and 7 to 9
<em>This is a function</em>
<u>Map D</u>
0 points to 2 and 5; 3 points 7 and 9
<em>This is not a function</em>
Answer:
denominators are zero for x=1
there is no solution
Step-by-step explanation:
We suspect your equation is supposed to be ...
10/(5x -5) +1/5 = 2/(x -1) . . . . . parentheses are required on denominators
The denominators will be zero for x=1.
This version of the equation has no solution. It simplifies to ...
2/(x-1) + 1/5 = 2/(x -1)
1/5 = 0 . . . . . subtract 2/(x-1) from both sides
There is no value of x that will make this equation true.
_____
<em>Alternative interpretation</em>
The way your equation is written, it must be interpreted according to the order of operations to be ...
(10/5)x -5 +1/5 = (2/x) -1 . . . . x=0 makes the denominator zero
2x -3.8 = 2/x
2x^2 -3.8x = 2 . . . . multiply by x
2(x^2 -1.9x +.95^2) = 2 +2(0.95^2)
(x -0.95)^2 = 1.9025
x = 0.95 ± √1.9025 ≈ {-0.4293, 2.3293}
