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Dvinal [7]
3 years ago
7

Y = 1/2x + 6 Y = -2x + 3 Y= 1/2x + 3 Y= -1/2x + 3

Mathematics
2 answers:
TEA [102]3 years ago
7 0

Answer:

y=-1/2x+3

Step-by-step explanation:

it has a negative slope and it's not that steep which is why the slope isnt 2. also the first one is wrong because the y-intercept is 3

Irina18 [472]3 years ago
5 0
It is -1/2x+3 KSJSMSMSMS,MSMS,DD
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Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
3 years ago
Read 2 more answers
The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +
lianna [129]
You have a system of equations \left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right..

1. Substitude right side of second equation into the left side of the first equation: -6x+6=-x^2+2x-9.

2. Solve this equation:
 x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4,  \\ \sqrt{D}=2,  \\ x_{1,2}=\dfrac{8\pm 2}{2  } =3,5.

3. Find y:
for x_1=3, y_1=-6\cdot 3+6=-18+6=-12,
for x_2=5, y_2=-6\cdot 5+6=-30+6=-24.

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.


7 0
4 years ago
Read 2 more answers
20 points!!!
OverLord2011 [107]

Answer: y+3 = 4( x + 1)

Step-by-step explanation:

The equation in point slope form is given as :

y - y_{1} = m ( x - x_{1} ) , where m is the slope

slope = 4

point given : (-1,-3)

Using the formula :

y - y_{1} = m ( x - x_{1} )

and substituting the value , we have

y - (-3) = 4 (x -{-1} )

y+3 = 4( x + 1)

8 0
3 years ago
The center of a circle is (0, -8). The radius is 9. What is the equation of the circle? Select all that apply.
taurus [48]

Answer:

x² + (y + 8)² = 81

Step-by-step explanation:

Centre (h,k) = (0,-8)

radius (r) = 9

(x - h)² + (y - k)² = r²

(x - 0)² + (y + 8)² = 9²

x² + (y + 8)² = 81

8 0
3 years ago
-17-5(x+3)=3x plz help
katovenus [111]
  1. Start by distributing the -5 into the x and 3
  2. -17-5x-15=3x
  3. add like terms
  4. -5x-32=3x
  5. add 32 to both sides
  6. -5x=3x+32
  7. subtract 3x from both
  8. -8x=32
  9. divide both by -8
  10. x=-4

7 0
4 years ago
Read 2 more answers
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