Given:
The table represents a proportional relationship.
To find:
The equation of the function.
Solution:
If y is directly proportional to x, then

...(i)
where, k is the constant of proportionality.
From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).
Putting x=2 and y=1 in (i), we get


Putting
, we get

Therefore, the correct option is A.
Answer:
34
Step-by-step explanation:
We know the straight line is equal to 180°, and the three angles that make it are (x+12),100°, and x. We can use the equation 180=(x+12)+100+x to find x.
180=(x+12)+100+x
We can remove the parentheses and combine x plus x to 2x.
180=100+2x+12
100+12=112
so
180=112+2x
-112 -112
68=2x
÷2 ÷2
34=x
<u>We are given the equations: </u>
10x = 10
-5x - 8y = 9
Since we don't have a coefficient of y in the first equation, we will rewrite the first equation as:
10x + 0y = 10
<u>Writing an Augmented matrix for the 2 equations:</u>
10x + 0y = 10
-5x - 8y = 9
![\left[\begin{array}{ccc}10&0|&10\\-5&-8|&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%260%7C%2610%5C%5C-5%26-8%7C%269%5Cend%7Barray%7D%5Cright%5D)
(x+8)(x+8)=64x because 8*8=64 and the x is one so which means it eqaled to 1 so the answer would be 64x