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4 years ago

Solving systems by elimination 9x+3y=-3 2x-3y=-8

Mathematics

1 answer:

Alona [7]4 years ago

5 0

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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Step-by-step explanation:

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Which one of the triangles shown is the image of the other triangle after dilation? What are the coordinates of the center of di

Vesnalui [34]

Need a picture! Then I will be happy to help :

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3 years ago

Find all zeros of the polynomial P(x) = x3 − 2x2 − 3x + 10. Express any non-real roots in the form a + bi.

Strike441 [17]

Answer:

$x = - 2 \: or \: x = 2 - i \: or \: x = 2 + i$

Step-by-step explanation:

The given equation is

$p(x) = {x}^{3} - 2 {x}^{2} - 3x + 10$

We can see that:

$p( - 2) = {( - 2)}^{3} - 2 {( -2) }^{2} - 3( - 2)+ 10$

$p( - 2) = - 8- 8 + 6+ 10 = 0$

This means x=-2 is a zero of p(x).

From the long division in the attachment,

We can rewrite the polynomial as:

${x}^{3} - 2 {x}^{2} - 3x + 10 = (x + 2)( {x}^{2} - 4x + 5)$

We now find solution to the quadratic part:

${x}^{2} - 4x + 5 = 0$

This is given by:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

We plug in the values to get:

$x = \frac{ - - 4 \pm \sqrt{ {( - 4)}^{2} - 4 \times 1 \times 5} }{2 \times 1}$

$x = \frac{ 4 \pm \sqrt{ 16 - 20} }{2 }$

$x = \frac{ 4 \pm \sqrt{ - 4} }{2 }$

$x = \frac{ 4 \pm2i}{2 } \\ x = 2 \pm \: i \\ x = 2 - i \: or \: x = 2 + i$

Therefore all solutions are:

$x = - 2 \: or \: x = 2 - i \: or \: x = 2 + i$

4 0

3 years ago

Can someone help me pretty pls

Vsevolod [243]

Answer:

Left to right: Zoe, Johana, Kami, Craig

Step-by-step explanation:

The values of x can be found by solving each of the equations.

A) x/-12 -2 = -22 ⇒ x = -12(-22 +2) = 240 . . . (first step: add 2)

B) 3x -21 = 15 ⇒ x = (15 +21)/3 = 12

C) -12x +2 = -22 ⇒ x = (-22 -2)/-12 = 2 . . . (first step: subtract 2)

D) 1/2x +66 = 126 ⇒ x = 2(126 -66) = 120

Zoe's equation requires adding 2 as the first step. It is equation A.

Craig's equation's solution is half that of Zoe's. 240/2 = 120. Craig's is equation D.

Kami's equation requires subtracting 2 as the first step. It is equation C.

Johana's equation's solution is 6 times that of Kami's. 6·2 = 12. Johana's is equation B.

The names that go in the blanks, left-to-right, are ...

Zoe, Johana, Kami, Craig

5 0

3 years ago

What is the fraction for 105/100

Maksim231197 [3]

Its actually a mixed number that is 1 1/20 since you can reduce it from 1 5/100

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3 years ago

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2/3 divided by 8/7 =

Sauron [17]

So you do the recipical and multipy 7 by 2 and your fraction is 14/24 and simplify which you get 7/12

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3 years ago

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