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PolarNik [594]
3 years ago
9

Which of the following is the correct factorization of the polynomial below?

Mathematics
1 answer:
Masja [62]3 years ago
6 0
I'm pretty sure that this one is the correct factorization of the polynomial above: <span>a) (3x+4)(9x^2-12x+16)</span>
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An investment of 11,000 is made into an account that earns 4.25% annual compound interest for 30 months. Assuming no other depos
LenKa [72]

Answer:

It should be $12168.75

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 11000 × 0.0425 × 2.5 = 1168.75

I = $ 1,168.75

The simple interest accumulated

on a principal of $ 11,000.00

at a rate of 4.25% per year

for 2.5 years is $ 1,168.75.

1,168.75 + 11000 = 12168.75

5 0
3 years ago
The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
8 0
3 years ago
Simplify the expression and write the result in standard form, a+bi.<br><br> 6 - 8i / -2
gregori [183]

Answer:

\frac{6 - 8i}{ - 2}  =  \frac{6}{ - 2}  -  \frac{8i}{ - 2} (splitting \: denomenator) \\ =  -  3 -  - 4i \\ =   - 3 + 4i \\  thank \: you

4 0
3 years ago
You call 5 friends, tomorrow you call 5 more. Write an equation.
ElenaW [278]

Answer:

5+5=10

Step-by-step explanation:

5+5=10

hope it helps. plz mark me as brainliest.

7 0
3 years ago
Evaluate each expression for x = 6 and for x = 3. Based on your results, do you know whether the two expressions are equivalent?
cluponka [151]

You can't add the same number to 2 different numbers and get the same answer, so no.

6 0
3 years ago
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