Answer:
16 folders
Step-by-step explanation:
The first store has 1152 possible combinations. The second store has 72 combinations without the folders.
If we divide 1152 by 72, we have 16. Therefore the second store needs 16 folders to have the same number of combinations as the first store.
Answer:
359.1
Step-by-step explanation:
100 - 20.2 is 79.8
79.8 x 4.5 is 359.1
therefore it is 359.1
Answer:
- (x -3)(x+3)(2x +1)
- (x -1)(x +1)(x +3)
- (2x -1)(2x +1)(x -4)
Step-by-step explanation:
A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)
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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)
__
C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)
_____
In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).
_____
The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.
<u>Answer:</u>
c= -1/2
<u>Step-by-step explanation:</u>
Let's solve your equation step-by-step.
4
/3 = −6c −
5/
3
Step 1: Simplify both sides of the equation.
4
/3 =−6c + −5
/3
Step 2: Flip the equation.
−6c + −5
/3 = 4/3
Step 3: Add 5/3 to both sides.
−6c + −5
/3 + 5
/3 = 4/3 + 5
/3 −6c
=3
Step 4: Divide both sides by -6.
−6c −6 = 3
− 6
c = −1
/2
Answer:
Predicted population of Mexico City in year 2010 = 38386000
Step-by-step explanation:
Formula to be used for the population of Mexico,
P = 20.899
Where t = Duration after year 1991
P = Final population
Number of years between 2010 and 1991 = 19 years
Predicted population of Mexico city after 2010 = 20.899
= 20.899 × (1.8368)
= 38.38633 million
= 38.386 million
Therefore, predicted population of Mexico City in year 2010 = 38386000
