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bezimeni [28]
3 years ago
5

Use long division or synthetic division to find the quotient of 2x^3+x^2+1 / x+1

Mathematics
1 answer:
gogolik [260]3 years ago
7 0

Answer:

The quotient is 2x^2 - x + 1.

Step-by-step explanation:

If x + 1 is the divisor in long division, then -1 is the divisor in synthetic division:

-1   /   2    1    0    1

              -2    1    -1

    ----------------------

       2      -1     1    0

The quotient is 2x^2 - x + 1.  The coefficients were obtained through synthetic division.

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Can someone help plz
olchik [2.2K]

Answer:

A.) 2x - 9x - 30 = -6

Step-by-step explanation:

hello !

to solve this system of equations, first, we substitute the equation y = 3x + 10 to the <em>y </em>variable in the equation 2x-3y = -6. Therefore, we get:

2x - 3(3x+10)=-6

now, we simplify by multiplying -3 to the variables inside the parenthesis, which, in short, is also called the distributive property. thus, we get:

2x - 9x - 30 = -6

4 0
3 years ago
Please answer I really need help with these just answer at least one.
aleksandrvk [35]
.50(150)+30=$105
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7 0
3 years ago
What is the exact distance from (-5,1) to (3,0).
Ilya [14]

Answer:

The distance between the two points is \sqrt{65} \ \text{units}.

Step-by-step explanation:

In order to find the distance between two coordinate pairs, we can use the distance formula:

\displaystyle \bullet  \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

\bullet  \ \ \ (x_1, y_1), (x_2, y_2)

This assigns a name to our points:

  • x_1 = -5
  • y_1 = 1
  • x_2 = 3
  • y_2 = 0

Therefore, we can plug these into the formula and solve:

d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}

Therefore, the distance between the two points is \sqrt{65} \ \text{units}.

5 0
2 years ago
Patrick ate 2/3 of a fruit bar write an equivalent fraction for the amount of fruit bar Patrick ate
Marina86 [1]
To get an equivalent fraction, multiply the fraction by a whole number. For example, you can do 2/3 times 2 to both sides which is 4/6.
5 0
3 years ago
The sum of the measures of the interior angles of a polygon with n sides is
Andrew [12]

Answer:

B

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = (n - 2) × 180° ← n is the number of sides

8 0
3 years ago
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