3x + 3y = 14 - 4xSubtract 3x from each side:3y = 14 - 7xDivide each side by 3:y = (14 - 7x) / 3
No because: 8+3x=x+11+2x (rewrite equation) 8+3x=11+3x (combine like terms) 8=11 (subtract 3x from both sides) This is obviously a false statement, so there is no solution or answer to the equation.
Rewrite the equation in standard form: y = mx + c So, 2y = 3x - 6 y = 3/2x - 6 Then the slope is m = 3/2 or 1.5
The function f(x) = 3x + 2 can take any real value, so the question does not seem to make any sense.
A function is an equation that gives a unique answer. A relation does not. Example: y = 3x + 1 is a function. If I give you x, you can determine y. And that y is unique to that x. So if x = 1, you know y = 4. No other of x gives y = 4 as an answer. So y = 3x + 1 is a function. Example: y = 4x2. So if I give you x = 1, y = 4. But y = 4 if I also give you x = -1. So y = 4x2 is not a function, it is a relation.
Because of the limitations of the question software, it was not possible to determine what the original equation was supposed to be, so we assumed it is 3x + 5y = 7. It could have just as easily been 3x - 5y = 7, or even 3x/5y = 7.So, let's solve them all for x.3x + 5y = 73x = 7 - 5yx = (7 - 5y)/3How about 3x - 5y = 7?3x - 5y = 73x = 7 + 5yx = (7 + 5y)/3And 3x/5y = 7?3x/5y = 73x = 35yx = 35y/3 Solving for y The above equations wrote the equation so that x is a function of y, not the other way around. Here's how to rewrite the equation so that y is a function of x: 3x + 5y = 7 5y = -3x + 7 y = (-3x + 7)/5
3x + 3y = 14 - 4xSubtract 3x from each side:3y = 14 - 7xDivide each side by 3:y = (14 - 7x) / 3
y = 3x IS. However, in the question, there is no symbol between y and 3x so it is difficult to tell.
No because: 8+3x=x+11+2x (rewrite equation) 8+3x=11+3x (combine like terms) 8=11 (subtract 3x from both sides) This is obviously a false statement, so there is no solution or answer to the equation.
6
Rewrite the equation in standard form: y = mx + c So, 2y = 3x - 6 y = 3/2x - 6 Then the slope is m = 3/2 or 1.5
We are starting with 3x+5y=7 and want it to give y as a function of x. The first step is to put the 3x on the right hand side, we do this by subtracting 3x from both sides: 5y=7-3x. The next step is to divide both sides by 5, giving us: y=(7-3x)/5 And that is y expressed as a function of x.
The function f(x) = 3x + 2 can take any real value, so the question does not seem to make any sense.
Since the logarithmic function is the inverse of the exponential function, then we can say that f(x) = 103x and g(x) = log 3x or f-1(x) = log 3x. As we say that the logarithmic function is the reflection of the graph of the exponential function about the line y = x, we can also say that the exponential function is the reflection of the graph of the logarithmic function about the line y = x. The equations y = log(3x) or y = log10(3x) and 10y = 3x are different ways of expressing the same thing. The first equation is in the logarithmic form and the second equivalent equation is in exponential form. Notice that a logarithm, y, is an exponent. So that the question becomes, "changing from logarithmic to exponential form": y = log(3x) means 10y = 3x, where x = (10y)/3.
f(x) = 3x + 9 y = 3x + 9 so 3x = y - 9 x = y/3 - 3 Therefore, the inverse function is g(x) = x/3 - 3
A function is an equation that gives a unique answer. A relation does not. Example: y = 3x + 1 is a function. If I give you x, you can determine y. And that y is unique to that x. So if x = 1, you know y = 4. No other of x gives y = 4 as an answer. So y = 3x + 1 is a function. Example: y = 4x2. So if I give you x = 1, y = 4. But y = 4 if I also give you x = -1. So y = 4x2 is not a function, it is a relation.
It means to rewrite the expression so that it is in its simplest form. You can do this by combining like terms. For example: The equation 2x + 3x = 5 can be simplified to 5x = 5 by combining the "x's".