Area=legnth times width
so multiply them together use distributive property
a(b+c)=ab+ac so
in this problem
(a+b)(c+d+e)=(a+b)(c)+(a+b)(d)+(a+b)(e)
so
x^2-2 times (2x^2-x+2)=(x^2)(2x^2-x+2)-(2)(2x^2-x+2)=(2x^4-x^3+2x^2)-(4x^2-2x+4)
add like terms
2x^4-x^3+(2x^2-4x^2)-2x+4
2x^4-x^3-2x^2-2x+4
Answer:
(a) ![x^4 * (-y)^4 = (xy)^4](https://tex.z-dn.net/?f=x%5E4%20%2A%20%28-y%29%5E4%20%3D%20%28xy%29%5E4)
Step-by-step explanation:
Given
![x^4 * (-y)^4](https://tex.z-dn.net/?f=x%5E4%20%2A%20%28-y%29%5E4)
Required
Select and equivalent expression
![D.\ (x-y)^4](https://tex.z-dn.net/?f=D.%5C%20%28x-y%29%5E4)
![x^4 * (-y)^4](https://tex.z-dn.net/?f=x%5E4%20%2A%20%28-y%29%5E4)
Apply law of indices:
![x^4 * (-y)^4 =x^4 * (-y) * (-y) * (-y) * (-y)](https://tex.z-dn.net/?f=x%5E4%20%2A%20%28-y%29%5E4%20%3Dx%5E4%20%2A%20%28-y%29%20%2A%20%28-y%29%20%2A%20%28-y%29%20%2A%20%28-y%29)
This gives:
![x^4 * (-y)^4 = x^4 * (y) * (y) * (y) * (y)](https://tex.z-dn.net/?f=x%5E4%20%2A%20%28-y%29%5E4%20%3D%20x%5E4%20%2A%20%28y%29%20%2A%20%28y%29%20%2A%20%28y%29%20%2A%20%28y%29)
![x^4 * (-y)^4 =x^4 * y^4](https://tex.z-dn.net/?f=x%5E4%20%2A%20%28-y%29%5E4%20%3Dx%5E4%20%2A%20y%5E4)
x and y have the same exponent; So, they can be expressed as:
![x^4 * (-y)^4 = (x*y)^4](https://tex.z-dn.net/?f=x%5E4%20%2A%20%28-y%29%5E4%20%3D%20%28x%2Ay%29%5E4)
![x^4 * (-y)^4 = (xy)^4](https://tex.z-dn.net/?f=x%5E4%20%2A%20%28-y%29%5E4%20%3D%20%28xy%29%5E4)
Answer:
agree
Step-by-step explanation:
I agree with employee A getting a bigger pay raise than employee B if employee be got a bigger pay raise that is because they have more responsibility or have more skills than employee B.
Answer: B
Step-by-step explanation: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:
24x2+25x−47=(−8x−3)(ax−2)−53
You should then multiply (−8x−3) and (ax−2) using FOIL.
24x2+25x−47=−8ax2−3ax+16x+6−53
Then, reduce on the right side of the equation
24x2+25x−47=−8ax2−3ax+16x−47
Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will waste too much time.
The final answer is B.