Answer:
![2x^3-5x^2-7x-2](https://tex.z-dn.net/?f=2x%5E3-5x%5E2-7x-2)
Step-by-step explanation:
1) Expand by distributing sum groups.
![2x(x^2-3x-2)+x^2-3x-2](https://tex.z-dn.net/?f=2x%28x%5E2-3x-2%29%2Bx%5E2-3x-2)
2) Expand by distributing terms.
![2x^3-6x^2-4x+x^2-3x-2](https://tex.z-dn.net/?f=2x%5E3-6x%5E2-4x%2Bx%5E2-3x-2)
3) Collect like terms.
![2x^3+(-6x^2+x^2)+(-4x-3x)-2](https://tex.z-dn.net/?f=2x%5E3%2B%28-6x%5E2%2Bx%5E2%29%2B%28-4x-3x%29-2)
4) Simplify.
![2x^3-5x^2-7x-2](https://tex.z-dn.net/?f=2x%5E3-5x%5E2-7x-2)
Thanks!
- Eddie
Hi! so what you want to do is first set up a proportion, if you know that the two triangles are congruent because abc~def you know that the proportion will work out. the proportion to set up is 54/72 from there you should know that 9 goes into both 72 and 54 so when you reduce you’d be left with 6/9 which you could further reduce to 2/3. then you can find the other sides by multiplying 92 by 2/3 and you’d get 61 and 84 by 2/3 where you’d get 56. However since you are supposed to find the perimeter, you would add all three sides together (54+56+61) and you’d be left with 171. hope this helps
Answer:
Step-by-step explanation:
1 Kg of carrot = 40 p
1 1/2 Kg of carrot = 40 *
= 20 * 3 = 60 p = £ 0.60
1 kg of potato = 52 p
3 kg of potato = 52 *3 = 156 p = £1.56
1 box of tea bags = 90 p
Number of boxes for £1.80 = 1.80 ÷ 0.90 = 2 boxes
4 packs of yogurt = £4.80
1 pack of yogurt = 4.80 ÷ 4 = £1.20
Total = 0.60 + 1.56 + 1.80 +4.80 = £ 8.76
Answer:
The first table
Step-by-step explanation: The x values don't repeat which makes it a function
Answer:
The original price was $43.50
Step-by-step explanation:
Let
x ----> the original price of a video game
we know that
1) The price of a video game increases by 20%
so
![100\%+20\%=120\%=120/100=1.20](https://tex.z-dn.net/?f=100%5C%25%2B20%5C%25%3D120%5C%25%3D120%2F100%3D1.20)
The final price is equal to the original price multiplied by 1.20
so
![1.20x](https://tex.z-dn.net/?f=1.20x)
2) The price of a video game decreases by 10%
so
![100\%-10\%=90\%=90/100=0.90](https://tex.z-dn.net/?f=100%5C%25-10%5C%25%3D90%5C%25%3D90%2F100%3D0.90)
The final price is equal to the price at this moment multiplied by 0.90
so
![0.90(1.20x)=1.08x](https://tex.z-dn.net/?f=0.90%281.20x%29%3D1.08x)
we have that
![1.08x=46.98](https://tex.z-dn.net/?f=1.08x%3D46.98)
solve for x
![x=46.98/1.08\\x=\$43.50](https://tex.z-dn.net/?f=x%3D46.98%2F1.08%5C%5Cx%3D%5C%2443.50)