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Alekssandra [29.7K]
3 years ago
6

Factor 2x2 + 6x - 108.

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
5 0
2(x-6)(x+9)
Answer is B
brilliants [131]3 years ago
4 0

Answer:

b) 2(x-6)(x+9)

Step-by-step explanation:

2x^2+6x-108

Factor out the 2, common factor!!!

2 (x^2 +3x -54)

Now time to factor, what to numbers multiply to get -54 and add to get 3

6,9 look good

what combination???

9,-6 because 9-6 = 3 and 9x-6=-54

so

2(x-6)(x+9)

From what I'm use to you put the 2 back in by dividing the numbers but in this case you dont need to.

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Today, 6 friends went out for lunch. Their total bill was $50.41 , including tax and gratuity. One of them ordered only soda and
Burka [1]

Answer:

50.41 minus 1.71 is 48.70 divided by 5 is 9.74

3 0
2 years ago
The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
3 years ago
Read 2 more answers
18 = -5b - 17<br><br><br> help?
cricket20 [7]
Its b= -0.2 or b= 1/-5 whichever one works best 
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Which one of the following statements is true?
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Answer:

A

Step-by-step explanation:

Because the gravity of the earth

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Consider the following set of vectors. v1 = 0 0 0 1 , v2 = 0 0 3 1 , v3 = 0 4 3 1 , v4 = 8 4 3 1 Let v1, v2, v3, and v4 be (colu
Alona [7]

Answer:

We have the equation

c_1\left[\begin{array}{c}0\\0\\0\\1\end{array}\right] +c_2\left[\begin{array}{c}0\\0\\3\\1\end{array}\right] +c_3\left[\begin{array}{c}0\\4\\3\\1\end{array}\right] +c_4\left[\begin{array}{c}8\\4\\3\\1\end{array}\right] =\left[\begin{array}{c}0\\0\\0\\0\end{array}\right]

Then, the augmented matrix of the system is

\left[\begin{array}{cccc}0&0&0&8\\0&0&4&4\\0&3&3&3\\1&1&1&1\end{array}\right]

We exchange rows 1 and 4 and rows 2 and 3 and obtain the matrix:

\left[\begin{array}{cccc}1&1&1&1\\0&3&3&3\\0&0&4&4\\0&0&0&8\end{array}\right]

This matrix is in echelon form. Then, now we apply backward substitution:

1.

8c_4=0\\c_4=0

2.

4c_3+4c_4=0\\4c_3+4*0=0\\c_3=0

3.

3c_2+3c_3+3c_4=0\\3c_2+3*0+3*0=0\\c_2=0

4.

c_1+c_2+c_3+c_4=0\\c_1+0+0+0=0\\c_1=0

Then the system has unique solution that is (c_1,c_2c_3,c_4)=(0,0,0,0) and this imply that the vectors v_1,v_2,v_3,v_4 are linear independent.

4 0
3 years ago
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