You can use the distributive property and multiply this out.
2x(3x² +9x -3) -2(3x² +9x -3)
= 6x³ +18x²-6x -6x² -18x +6
= 6x³ +12x² -24x +6
The coefficient of the x² term is 12.
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You can do this in your head using the techniques of Vedic mathematics. Write the coefficients of the two expressions, putting 0 for the x² coefficient in the first factor.
0 2 -2
3 9 -3
The x² term of the product will be the sum of the products of terms whose degrees add to 2. That is, the first term of the first row times the last term of the second row, plus the product of the middle two numbers in each row, plus the product of the first term in the second row times the last term in the first row.
Here's a more visual representation of the products that get added to get the coefficient of the x² term.
0 2 -2
3 9 -3 . . . . product is 0
0 2 -2
3 9 -3 . . . . product is 18
0 2 -2
3 9 -3 . . . . product is -6
The sum, of course, is 0 +18 -6 = 12
1000 dlls, you just need to divide 5000 into 5
5 x 12 = 60 inches
Then 60 x 2.54= 152.4 centimeters
6 x 2.54- 15.24 centimeters
152.4 + 15.24= 167.64 centimeters
Hope I helped!
Answer:
The one which has a height of 3 units. H=3
Step-by-step explanation:
Well, the volume of pyramid is equal to the area of base multiply by the height of pyramid and divide by 3. Writing as a formula it can be expressed as V=(A*H)/3 where V is volume of pyramid, A is area of base and H is the height of pyramid. If V=15 cubic units and A=15 square units, H should be equal to 3 (to be cancelled out by 3. Please look at formula above) in order to make V=15.
Answer:
V = (-5, 2)
Step-by-step explanation:
Translating it left or right changes the X value, while up and down changes the Y. Which means (-2, 2) translated 3 units left would be (-5, 2)
