Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left. This makes all negatives positive and all positives negative. -4x + 12 = y
Then add the first equation to the second equation
4x +12 = -7y
<u>-4x + 12 </u>=<u> y </u> this eliminates the x's
<u>24</u> = -<u> 6y</u> then divide by - 6
- 6 - 6
- 4 = y<u>
</u>So if you know that y = negative 4, you can substitute into either equation. I pick the second one because I am a lazy person.
-y + 12 = 4 x
-(-4) + 12 = 4 x combine your numbers<u>
</u> <u> 16 </u> = <u>4 x </u> then divide by 4<u>
</u> 4 = x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)
Does that work for you?
Answer:
D.
Step-by-step explanation:
A term in a polynomial is a single number or a number multiplied by any number of variables. A polynomial is a sum of terms.
The only thing that can be done with variables in a polynomial is to multiply them by numbers or other variables. In a polynomial, you cannot: divide by a variable (have a variable in a denominator), have a root of a variable, have a log of a variable, have a variable as an exponent, etc.
All expressions are polynomials except for D. In D., the negative exponents mean division by variables.
Answer:
The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.
Step-by-step explanation:
Let's take as example a linear function of the form: y = kx.
Where, k is the constant of proportionality.
Therefore, the proportionality constant is the point: (x, kx)
Generically it is always the point: (x, k * f (x)
Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.
Answer: The answer would be 6
Here is an example:
If you divided 64 by 5/8, then you would get a number larger than 64.
To get the answer, multiply 64 * 5/8. So find what 64*5 is then divide that number by 8. 64*5=320. 8 goes into 32 4 times, so it goes into 320 40 times. So your answer is 40.
Hope this helps,
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