Answer:
35.7%
Step-by-step explanation:
The change is 45 dollars. (120-75)
The percent of change is the dollars divided by the original price.
45/120=0.357
Or 35.7%
9514 1404 393
Answer:
7 cm, 4.4 cm
Step-by-step explanation:
The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...
s = √(a² +b² -2ab·cos(C))
s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}
The two side lengths are 7 cm and about 4.4 cm.
The second option is the correct answer
![16x^{4}+40x^{3} -24x^{2}](https://tex.z-dn.net/?f=16x%5E%7B4%7D%2B40x%5E%7B3%7D%20-24x%5E%7B2%7D)
The expression given to us is:
![8x^{2} (5x+2x^{2}-3 )](https://tex.z-dn.net/?f=8x%5E%7B2%7D%20%285x%2B2x%5E%7B2%7D-3%20%29)
Herein, we can simplify it by opening up the bracket and multiplying each term inside the bracket by the term which is outside the bracket.
Thus, we get:
![8x^{2} (5x+2x^{2}-3 )=8*5x^{2+1} +8*2x^{2+2}-8*3x^{2}](https://tex.z-dn.net/?f=8x%5E%7B2%7D%20%285x%2B2x%5E%7B2%7D-3%20%29%3D8%2A5x%5E%7B2%2B1%7D%20%2B8%2A2x%5E%7B2%2B2%7D-8%2A3x%5E%7B2%7D)
![40x^{3} +16x^{4}-24x^{2}](https://tex.z-dn.net/?f=40x%5E%7B3%7D%20%2B16x%5E%7B4%7D-24x%5E%7B2%7D)
Rearranging the above expression in descending order of power we get:
![16x^{4}+40x^{3} -24x^{2}](https://tex.z-dn.net/?f=16x%5E%7B4%7D%2B40x%5E%7B3%7D%20-24x%5E%7B2%7D)
From the given options we can see this is the second option. Hence the second option is the correct answer.
Learn more about equation here brainly.com/question/14180340
#SPJ4
Answer:
x = -7
Step-by-step explanation:
Use the distibutive property on both side:
Right side:
4 ( 1 - x )
( 4 x 1 ) + 4 x -X )
4 - 4x
Left side:
-3 ( x + 1 )
( -3 x X ) + ( -3 x 1 )
-3x -3
4 - 4x + 2x = -3x - 3
Combine like terms:
( 2x + ( -4x ) ) + 4 = -3x - 3
-2x + 4 = -3x - 3
Add 3 to each side:
-2x + 7 = -3x
add 2x to each side:
7 = -x
Divide each side by -1:
-7 = x