This is solved by breaking the equasion down.
2 { 5 [12 + 5 (500 - 100) + 399 ]}
2 { 5 [12 + 5 (400) + 399]}
2 { 5 [12 + 2000 + 399]}
2 { 5 [2411]}
2 {12055}
24110
Is this the answer you were looking for?
Answer:
(2,7) is not a solution to the given system of equations.
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
Answer: Alberto run 27 meters.
Time taken By Alberto=3 seconds
Step-by-step explanation:
Let d be the distance Alberto ran to catch Omar.
Then, distance ran by Omar=x-6
Also, 
Since, both started running at the same time.
Time taken By Alberto=
Time taken By Omar=
Now, at the point they meet time taken by both is equal.
Hence, Alberto run 27 meters.
Time taken By Alberto=
=3 seconds
To find the inverse of f(x), you solve for the independent variable, x, and then swap the variable labels. The reason for doing so is easily seen if one remembers what an inverse function really is. The inverse function will produce the opposite coordinate as the parent function. If f(x)=(x,y), f^-1(x)=(y,x), so the inverse function simply creates the inverse of all of the points that exist for f(x)...with that out of the way, let y=f(x), then:
y=1/(9x-2) (I am trying to decipher what you actually meant to type)
Multiply both sides by (9x-2)
y(9x-2)=1 divide both sides by y
9x-2=1/y add 2 to both sides
9x=1/y+2 which is equal to
9x=(1+2y)/y divide both sides by 9
x=(1+2y)/(9y) now switch labels...
y=(1+2x)/(9x)
f^-1(x)=(1+2x)/(9x)
Again, I am not sure that I understood what you meant to type for the equation... strictly as typed you actually have:
y=x/9-2 which can be written as:
y=(x-18)/9 multiply both sides by 9
9y=x-18 add 18 to both sides
9y+18=x then switch labels
y=9x+18
f^-1(x)=9x+18
The denominator must be made clear in this format by using () brackets, otherwise it is anyone's guess...
