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yarga [219]
3 years ago
7

Solve the equation, justify each step with an algebraic property. 7 = 16 + 3x

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0
7= 16 + 3x
7-16 = 3x
-9 = 3x
x = (-9)/(3)
x = -3
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Factorise x cube -2x square -5x plus 6
zepelin [54]

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

7 0
3 years ago
Answer this problem 3/14 divided 2/7<br><br> a. 2/7<br><br> b. 1/2<br><br> c. 1/7<br><br> d. 3/4
Ierofanga [76]

Answer:

d

Step-by-step explanation:

3/14 divided by 2/7 is 0.75

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b.) 0.5

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d.) 0.75

So d is the correct answer.

6 0
3 years ago
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nexus9112 [7]
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How many hectograms are in 45 centigrams?
const2013 [10]

Answer:

0.0045 hectograms are in 45 centigrams

Step-by-step explanation:

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3 years ago
Help me pleaseeee. due todayyy
zalisa [80]

Answer:

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Step-by-step explanation:

The scale factor can be found by dividing the side length from triangle ABC by the corresponding side length from triangle ABC

so the scale factor would be equal to

12/8 and 9/6

9/6 = 1.5

12/8 =1.5

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6 0
3 years ago
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