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2 years ago

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

Mazyrski [523]

$(2^3x^2 - 3) - 2 = 0 \\ \\ Factoring: \ 8x^2-5 \\ \\ 8x^2 - 5 = 0 \\ \\ Add \ 5 \ to \ both \ sides \ of \ the \ equation : \\ \\ 
 8x^2 = 5 \\ \\ Divide \ both \ sides \ of \ the \ equation \ by \ 8: \\ \\ 
 x^2 = \frac{5}{8} = 0.625 \\ \\ \boxed{ x =\pm \sqrt 5/8}$

Your answer: Option A

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3 years ago

A Chinese restaurant sells a dozen egg rolls for $8.

Alla [95]

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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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Step-by-step explanation:

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2 years ago

If 75% of a number is 60, what is 20% of the number

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3 years ago

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