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EastWind [94]
4 years ago
5

Solve this system of equations- x=2y-8 and 4x+y=13

Mathematics
2 answers:
rjkz [21]4 years ago
8 0
(2,5)
thats what i got

Galina-37 [17]4 years ago
7 0
First solution: (x) - 2(y) = -8

Second solution: 4(x) + (y)

For the fraphic of the "respresentation"  on the equation becomes: -2(y) + x = -8; (y) + 4(x) = 13

Now, let's do it this way: x - 2(-4[x] + 13) = -8
                                        9(x) = 18

We found the the x-intercept (which is 2)

(y) = -4(x)

(y) = -4 × 2 + 14 = 5 

x-intercept = 2; y-intercept = 5

Therefore,for your result we came upwith the answer of {2,5} 

Good Luck :)

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Step-by-step explanation:

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Find all the integers,b, that make up the trinomial x2 + bx + 10 factorable.
KonstantinChe [14]

By the fundamental theorem of algebra, we can write

x^2+bx+10=(x-r_1)(x-r_2)

Expanding the right hand side, we get

x^2+bx+10=x^2-(r_1+r_2)x+r_1r_2\implies\begin{cases}r_1+r_2=-b\\r_1r_2=10\end{cases}

We want b to be an integer, which means r_1,r_2 must also be integers. This means r_1,r_2 must be factors of 10. There are several possibilities:

r_1=\pm10,r_2=\pm1\implies b=-(10+1)=-11\text{ or }b=-(-10-1)=11

r_1=\pm5,r_2=\pm2\implies b=-(5+2)=-7\text{ or }b=-(-5-2)=7

So there are 4 possible values for b: -11, -7, 7, and 11.

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3 years ago
Which polynomial is paired to its factored form? 36x2 + 18x + 9 and (6x + 3)2 49x2 + 56x − 16 and (7x − 4)2 729x3 − 405x2 + 225x
kherson [118]

Answer:

64x^3 + 384x^2 + 768x + 512 and (4x + 8)^3

Step-by-step explanation:

Here, we want to check which of the polynomials is placed with its factored form.

What we only need to do here is to find the product of the factored form and see if it gives us the polynomial ;

36x^2 + 18x + 9

(6x + 3)^2

= 6x(6x + 3) + 3(6x + 3)

= 36x^2 + 18x + 18x + 9

= 36x^2 + 36x + 9

This is wrong

49x^2 + 56x -16

(7x-4)^2

= 7x(7x-4) -4(7x -4)

= 49x^2 -28x -28x + 16

49x^2 -56x + 16

This is wrong also

729x^3 -405x^2 + 225x -125

(9x -5)^3

= (9x-5)(9x-5)^2

= (9x-5)(9x(9x-5) -5(9x-5))

= (9x-5)(81x^2 -45x -45x + 25))

= (9x-5)(81x^2 -90x + 25)

= 9x(81x^2 -90x + 25) -5(81x^2 -90x + 25)

= 729x^3 -810x^2 + 225x - 405x^2 + 450x -125

= 729x^3 -1215x^2 + 675x -125

This is also wrong

That makes the last number a possible answer; let’s check

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

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

= (4x + 8)(4x(4x + 8) + 8(4x + 8))

= 4x + 8(16x^2 + 32x + 32x + 64)

= (4x + 8)(16x^2 + 64x + 64)

= 4x(16x^2 + 64x + 64) + 8(16x^2 + 64x + 64)

= 64x^3 + 256x^2 + 256x + 128x^2 + 512x + 256

= 64x^3 + 256x^2 + 128x^2 + 512x + 256x + 256

= 64x^3 + 384x^2 + 768x + 256

4 0
3 years ago
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