What is 3x-4y=4 in linear equations
2 answers:
Your equation is a linear equation because it has a constant, and it has variables. And it does not have something like x^2.
However, if your question wants it in slope-intercept format, which is y=mx+b
Then:
3x-4y = 4
We can add 4y to both sides
3x = 4+4y
Subtract 4 from both sides
3x-4 = 4y
Then we divide by 4
So 3x-4y=4 in slope-intercept format would be
However, if your question wants it in slope-intercept format, which is y=mx+b
Then:
3x-4y = 4
We can add 4y to both sides
3x = 4+4y
Subtract 4 from both sides
3x-4 = 4y
Then we divide by 4
So 3x-4y=4 in slope-intercept format would be
You might be interested in
Answer:
Step-by-step explanation:
we know that
----> circumference of a circle
step 1
Find the circumference of a circle
The circumference is equal to
we have
----> the radius is half the diameter
substitute
step 2
Find the number of complete revolutions made by the wheel if the bicycle travels 440 meters
Divide the total distance by the circumference
Answer:
The x-intercepts of the function are and
.
Step-by-step explanation:
We are given the function .
In order to find the x-intercepts of the equation, we need to solve this quadratic. We can use factoring methods to solve it.
The parent function for a quadratic is .
We can use this information to determine what factoring technique we want to use.
There are several different methods, including using the quadratic formula, but because this is easily factorable, we can avoid using it.
We see that our <em>a</em> is equal to 1 (there is no coefficient in front of x²), so we can use the easier of the techniques:
- Find what factors of c add up to give you b.
- Add to x if positive or subtract from x if negative and set it equal to zero.
- Solve for x - these are your x-intercepts.
Therefore, let's determine what our c is: 15.
Now, let's label the factors for 15.
- 15 cannot be divided by 2 evenly.
- 15 can be divided by 3 evenly: 15/3 = 5
- 15 cannot be divided by 4 evenly.
- 15 can be divided by 5 evenly: 15/5 = 3
Therefore, our two factors are 3 and 5 since they cannot be broken down any further (they are prime numbers - we just performed prime factorization).
Now, we need to pay attention to the sign for c. It's negative, so one of our factors needs to be negative. Therefore, we can test this out:
Now, we check for which one matches the sign for b. This is positive 2, so our two factors are 5 and -3.
Finally, to factor, we add or subtract the factors from x depending on the sign. If the factor is positive, we add it. If the factor is negative, we subtract it. Therefore, we can set up our equations.
Therefore, for when x = 3 or x = -5, the line crosses the x-axis. These are the x-intercepts of the function.
Our answers are x = -5 and x = 3.