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Phantasy [73]
3 years ago
15

Use the long division method to find the result when 2 x 3 + 7 x 2 + 14 x + 12 2x 3 +7x 2 +14x+12 is divided by 2 x + 3 2x+3

Mathematics
1 answer:
egoroff_w [7]3 years ago
4 0

Answer:

2 x 3 + 7 x 2 + 14 x + 12÷ 2x+ 3 = <u> x² +2x+ 4  </u>

Step-by-step explanation:

We multiply the first term 2x of the divisor with a term ( quotient) to get the first term of the dividend. Then we multiply the same term with each term of the divisor  and subtract it from the dividend. The process continues unless we get the zero or a much smaller number than the dividend as the remainder

              <u>  x² +2x+ 4                        </u>

2x+3    ║2 x 3 + 7 x 2 + 14 x + 12

               2x³ + 3x²

     <u>            -      -       </u>

                         4x² +14x+12

                          4x²+ 6x

                    <u>     -        -      </u>

                                   8x+12

                                     8x+12      

                               <u>    -        -   </u>

                              <u>        0         </u>

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y = 11

Step-by-step explanation:

Plug 4 in for x.

3 + 2(4) = y

Multiply.

3 + 8 = y

Simplify.

11 = y

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Which of the following inequalities is correct?
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The last one

Step-by-step explanation:

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Find two supplementary angels such that the measure of the first angle is 38° less than three times the measure of the second
stiks02 [169]


angle 1+ angle 2=180    supplementary angles add up to 180

angle 2=x     assign angle a variable

angle 1= 3x-38      find equation for first angle

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4x-38=180        combine like terms

4x=218        add 38 to both sides

x=54.5        divide by 4

angle 2= 54.5

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42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0
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Answer:

Step-by-step explanation:

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8 0
3 years ago
Brianna bought snacks for her team's practice. She bought a bag of oranges for $2.72 and a 20-pack of juice bottles. The total c
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Answer:

each bottle was $2.12 :P

Step-by-step explanation:

➼start by making an equation to find the price of the juice pack, in this case x would be the price of the juice pack because its unknown, the juice pack price(x) added to the price of the oranges(2.72) and equal the total(45.12), the before tax part is not needed info

2.72 + x = 45.12

➼now our aim to get x alone to find out its worth so we will have to do the opposite and subtract 2.72 from everything, since its positive

2.72-2.72=0 crosses out

45.12-2.72=42.4

➼which gets us x = 42.4 so one 20 pack is 42.40 dollars but we arent done yet, to find out the price of EACH bottle we must divide 42.4 by 20!

42.4/20=2.12

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