A:
So terms are a group of numbers/variables or a single number/variable. They are separated by + and - symbols.
In the original equation, there are 6 terms: 5x^2, 6x, -3, 4x^2, -8x, and 2.
To find the simplified equation, just combine like terms, which in this case are (5x^2 + 4x^2) + (6x - 8x) + (-3 + 2).
Simplify that, and your simplified equation is 9x^2 - 2x - 1 . And within this simplified equation, there are 3 terms: 9x^2, -2x, and -1.
B:
Going back to A, we see that our simplified expression is 9x^2 - 2x - 1 . Looking at our equation, the coefficient of x is -2.
Answer:
a) The basic rate of pay is 6 sterling pounds per hour.
b) The higher rate of pay is 10 sterling pounds per hour.
Step-by-step explanation:
Both segments of the curve are first order polynomials, which means that each have constant slopes.
a) The basic rate of pay is the value of the slope (
), in sterling pounds per hour, of the line for the first 20 hours worked, that is:
(1)
Where:
- Change in hours worked, in hours.
- Change in pay, in sterling pounds.
If we know that
and
, then the basic rate is:



The basic rate of pay is 6 sterling pounds per hour.
b) By using (1), we calculate the higher rate of pay below. If we know that
and
, then the higher rate is:



The higher rate of pay is 10 sterling pounds per hour.
One thing is you need to get x on one side and y on the other :)
8x-1/3y=16
Just like any equation you subtract 8x
8x-1/3y=16
<u>-8x -8x
</u>-1/3y=16-8x
Now you want y all alone. So you divide. To me I think you divide by -3. But you might want to check and divided by
by -1/3 (just in case)
<u>-1/3y=16-8x
</u> -3
y=-5.33(3 is repeating) - 2.6666667x
I really do this help you out! :D
Answer:
Like terms:

1.25x²
-8x²
Step-by-step explanation:
Like terms are terms that have the same variable to the same exponent. In this case, the only like terms are those with the variable 'x' to the exponent of '2', or x². This would include the terms:

1.25x²
-8x²
The term 5yx², also includes x², however, it also includes the variable 'y' which makes it 'unlike' the other terms.