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Anna007 [38]
3 years ago
9

Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring? 10x3+3x2−20x

−6 (10x3+3x2)+(−20x−6)
Mathematics
2 answers:
DENIUS [597]3 years ago
7 0

Answer:C

Step-by-step explanation:

Basile [38]3 years ago
6 0

Answer:

The common factors should be used in the next step of factoring is x² and -2.

Step-by-step explanation:

Consider the provided expression.

10x^3+3x^2-20x-6

Factor the above expression by grouping.

(10x^3 + 3x^2) + (-20x -6)

Factor out x²  form the first parentheses and -2 from the second parentheses.

x^2(10x+3) -2 (10x+3)

Hence, the common factors should be used in the next step of factoring is x² and -2.

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Can anyone help me solve this
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Answer:

a. $45.54; b. $51.42; c. See below

Step-by-step explanation:

a. 193 min

        Service charge = $40.00

1st 100 min @ 0.021 =      2.10

Next 93 min @0.037 = <u>    3.44 </u>

                        Total =  $45.54

b. 317 min

          Service charge = $40.00

  1st 100 min @ 0.021 =      2.10

2nd 100 min @ 0.037 =     3.70

        117 min @ 0.048 =   <u>   5.62</u>

                          Total =   $51.42

c. Piecewise function

The charge is  

  • $40.00 + 0.021t               if t ≤ 100
  • $42.10 + 0.037(t - 100)    if 100 < t ≤ 200
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which we can write like this:

f(t) =\begin{cases}40.00 + 0.021t & t \leq 100\\42.10 + 0.037(t-100) & 100 < t \leq200\\45.80 + 0.048(t-200) & t > 200\end{cases}

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3 years ago
Y=(x-4)/(x*x)-11x+28
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1. subtract like terms
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Step-by-step explanation:

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C

Step-by-step explanation:

The equation of a line is given by y-y_1=m(x-x_1)

and

slope (m) is given by:

m=\frac{y_2-y_1}{x_2-x_1}

Where (x_1,y_1) are the first set of point in the line and (x_2,y_2) is the second set of point

<em>Let's take 2 points arbitrarily. (0,0) & (25,20)</em>

<em />

<em>Let's plug it and find the equation:</em>

<em>m=\frac{20-0}{25-0}=0.8</em>

<em>Now</em>

<em>y-y_1=m(x-x_1)\\y-0=0.8(x-0)\\y=0.8x</em>

<em />

<em>C is the correct answer.</em>

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Read 2 more answers
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