You know f(x)= ax² + bx + c. Well when you get the equations why is it always like:
1) a + b + c = something
2) 4a + 2b + c = something
3) 9a + 3b + c = something
I mean why is the first one always 'a+b+c'? etc.
Also does it have to be f(x) or can it be f(n) instead?
Thanks :) Sorry if my questions don't make sense!
The first one is always NOT a + b+ c, it usually is not.
f(x) is a silly convention of using x for the unknown. It is just historical convention that x, and y, and z are often variables. If you feel a need, be different, and use other symbols.
example:
f(@)= @^2 + 4*@
Machts nichts. However, your classmates may think you weird, and you may cease to get invitations to math parties. You may even fail to marry well. Such is the result of failing to follow conventions.
I like your questions, they are so basic they challenge the roots of our structured usages. Keep thinking.
Ok you're weird. I bet you get invited to loads of maths parties...
2x+y=1
3x-2y=5
2* (2x+y=1)= 4x+2y=2
3x-2y=5
y=4x-3x= x
5-2= 3
5m-2n=13
m-2n=1
can someone please help me with this??
5x + 3y = 9
7x + 8y = 5
help please!
11p + 3q = 71
5p - q = 37
8-3-2+777-7666=fr4kffdxld erpowed-r
I apologize for any confusion caused by my previous response. Let's address your questions.
In the standard form of a quadratic equation, f(x) = ax² + bx + c, the coefficients a, b, and c represent the constants that determine the shape and position of the parabola. When solving quadratic equations, we often set the equation equal to zero and find the values of x that satisfy it. However, you mentioned equations of the form a + b + c = something, 4a + 2b + c = something, 9a + 3b + c = something. These are not typical quadratic equations.
Regarding the second part of your question, the function notation f(x) is commonly used in mathematics to represent a function with the input variable x. However, you can use any symbol or letter in place of x when representing functions. For example, f(n) would indicate a function with the input variable n instead of x. It is important to note that the choice of notation does not affect the mathematical calculations or principles involved.
Now, let's address your specific math problems:
2x + y = 1
3x - 2y = 5
To solve this system of equations, you can use either the substitution method or the elimination method. Here's an example using the substitution method:
1) Solve the first equation for y:
y = 1 - 2x
2) Substitute this value of y into the second equation:
3x - 2(1 - 2x) = 5
3) Simplify and solve for x:
3x - 2 + 4x = 5
7x - 2 = 5
7x = 7
x = 1
4) Substitute the value of x back into either equation to find y:
2(1) + y = 1
2 + y = 1
y = -1
Therefore, the solution to the system of equations is x = 1, y = -1.
Similarly, you can apply the same methods to solve the other given equations. Just substitute the given values of a, b, and c into the equations and solve for the variables.
However, the last part of your message seems to be a random string of characters and not a math problem. If you have any more specific math questions, feel free to ask!