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Svet_ta [14]
3 years ago
8

1 
" align="absmiddle" class="latex-formula"> Solve for X
Mathematics
1 answer:
Radda [10]3 years ago
5 0
X+(-17)=-1
x-17=-1
x-17+17=-1+17
x=16
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<img src="https://tex.z-dn.net/?f=12x%20%5E%7B2%7D%20%20%2B%204x%20%2B%2020" id="TexFormula1" title="12x ^{2} + 4x + 20" alt="1
Nesterboy [21]
<h3>Answer: </h3>

The GCF is 4

The polynomial factors to 4(3x^2+x+5)

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

  • 12 = 2*2*3
  • 4 = 2*2
  • 20 = 2*2*5

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

4 0
2 years ago
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is pai
kari74 [83]

Answer:

35x = 155-15

It will take 4 months.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What are the composite factor of 20
Stella [2.4K]

Answer:

<h2>4×4+<em><u>4</u></em></h2>

Step-by-step explanation:

<em><u>hope</u></em><em><u> </u></em><em><u>its</u></em><em><u> </u></em><em><u>helpful</u></em>

4 0
3 years ago
Read 2 more answers
What is most likely the line of best fit for this scatter plot? Graph shows numbers from 0 to 10 at increments of 1 on the x axi
kolezko [41]

Answer:

Line B

Step-by-step explanation:

Line B would best fit the scatter plot because the dots aline most similar to how Line B does. If you were to look at the angle Line B is at, most of the dots line up in the way Line B does. Therefore, Line B best fits the scatter plot.

6 0
3 years ago
Read 2 more answers
F(x)=12x2-4x-8. G(x)=11x-6
AlekseyPX

Answer: Second option.

Step-by-step explanation:

Given the functions f(x) and g(x):

f(x)=12x^2-4x-8\\\\g(x)=11x-6

You need to divide them in order to find (\frac{f}{g})(x) asked in the exercise. Then:

(\frac{f}{g})(x) =\frac{12x^2-4x-8}{11x-6}

Now, it is important to remember that, by definition, the division by zero is not defined. Therefore, the denominator of the function cannot be zero.

Let's find the value of "x" for which the denominator of the function would be zero:

1. You need to make the denominator equal to zero:

11x-6=0

2. Finally, you must solve for "x":

11x=6\\\\x=\frac{6}{11}

Therefore, as you can see, the answer is:

 (\frac{f}{g})(x) =\frac{12x^2-4x-8}{11x-6}, x=\frac{6}{11}

4 0
3 years ago
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