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Lostsunrise [7]
2 years ago
8

Match the equations of the lines with their graphs.

Mathematics
1 answer:
nika2105 [10]2 years ago
5 0

Answer:1. y = 2x - 3

2. y= 2x + 3

3. y = -2x + 3

4. y = -2x - 3

Step-by-step explanation:

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Solve for x.<br><br> 8x^2-3=2
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(2^3x^2 -  3) -  2  = 0 \\ \\  Factoring:  \ 8x^2-5 \\ \\   8x^2 - 5  = 0 \\ \\  Add \ 5  \ to \ both \ sides \ of \ the \ equation : \\ \\ &#10;                      8x^2 = 5 \\ \\ Divide \ both \ sides \ of \ the \ equation \ by \ 8: \\ \\ &#10;                     x^2 =  \frac{5}{8}  = 0.625 \\ \\ \boxed{ x  =\pm  \sqrt 5/8}

Your answer: Option A
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2 years ago
Find the product and sum of the roots of the equation:<br> 2x^2-9x-10=0
BabaBlast [244]

Answer:

<h3>           sum of the roots:    x_1+x_2=4\frac12</h3><h3>           product of the roots:     x_1x_2=-5             </h3><h3> Step-by-step explanation:</h3>

2x^2-9x-10=0\quad\implies\quad a=2\,,\ b=-9\,,\ c=-10

b^2-4ac=(-9)^2-4(2)(-10)=81+80=161>0

From Vieta's formulas applied to quadratic polynomial we have:

if    b^2-4ac\geqslant0   then

sum of roots:    x_1+x_2=-\dfrac ba=-\dfrac{-9}2=4\frac12

product of the roots:     x_1x_2=\dfrac ca=\dfrac{-10}2=-5

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3 years ago
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