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3 years ago

7

Y

5x + 3" alt="y \geqslant - 5x + 3" align="absmiddle" class="latex-formula">
-5x+3

1 answer:

masha68 [24]3 years ago

3 0

Okay so at first it was confusing because I didn't know what you were asking but I'm Guessing you wanted it graphed and shaded so here you go.

Have A Great Day. :)

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What is 4z-3/z+6 when z = −3?

Ierofanga [76]

4(-3)-3/(-3)+6
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3 years ago

What are m∠1 and m∠2?

zaharov [31]

Answer:

B. <1 = 35, m<2 = 30

Step-by-step explanation:

To figure out m<1 I first need to figure out the other missing angle. A straight line is a 180 degree angle. Taking that information you can do 180 - 115. This means that the missing angle is 65 degrees. The interior angles of triangles always add up to 180.

80 + 65 = 145

180 - 145 = 35

<1 = 35

Repeat with the other side.

85 + 65 = 150

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2 years ago

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3 years ago

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3 years ago

What are the roots to<br> the equation<br> 2x² + 6x-1=0?

lys-0071 [83]

Answer:

The roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = $\frac{ - b}{a}$

And products of roots = $\frac{c}{a}$

So, m + n = $\frac{ - 6}{2}$ = - 3

And m × n = $\frac{ - 1}{2}$

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 ( $\frac{ - 1}{2}$ )

Or, (m - n)² = 9 + 2 = 11

I.e m - n = $\sqrt{11}$

Again m + n = - 3 And m - n = $\sqrt{11}$

Solving this two equation

(m + n) + ( m - n) = - 3 + $\sqrt{11}$

I.e 2 m = - 3 + $\sqrt{11}$

Or, m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$

Similarly n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Hence the roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$ Answer

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3 years ago