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EastWind [94]
3 years ago
8

I need help with this

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0
45 because they are supplementary equal they are parralel
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Which of the following are solutions to the equation below?
sladkih [1.3K]

Answer:

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

                  x=3,\:x=-\frac{1}{2}

Step-by-step explanation:

considering the equation

2x^2\:-\:4x\:-\:3\:=\:x

solving

2x^2\:-\:4x\:-\:3\:=\:x

2x^2-4x-3-x=x-x

2x^2-5x-3=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=2,\:b=-5,\:c=-3:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

solving

x=\frac{-\left(-5\right)+\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

x=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}

x=\frac{5+\sqrt{49}}{2\cdot \:2}

x=\frac{5+7}{4}

x=3

also solving

x=\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

x=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}

x=\frac{5-\sqrt{49}}{4}

x=-\frac{2}{4}

x=-\frac{1}{2}

Therefore,

                 \mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

                  x=3,\:x=-\frac{1}{2}

7 0
3 years ago
Which statement best describes f(6) = 12?
Sergio039 [100]

Answer:

When the input is 6, the output must be 12.

Step-by-step explanation:

f(6) = 12

The input to the function is x which is 6 and the output is what f(6) equals which is 12

5 0
3 years ago
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Que es 9+10<br> A.) 45<br> B.) 19<br> C.) 21<br> D.) 24
Vlad [161]
Answer is B. 19! 9+10=19
5 0
2 years ago
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Linear equation <br><br> 4.5 + 1.5y=24<br> x-y=4
WARRIOR [948]
4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x -  1.0y = 4   ⇒<u> 4.5x - 4.5y = 18</u>
                                             <u>6y</u> = <u>6</u>
                                              6     6
                                               y = 1
                             4.5x + 1.5(1) = 24
                                 4.5x + 1.5 = 24
                                 <u>         - 1.5    - 1.5</u>
                                          <u>4.5x</u> = <u>22.5</u>
                                           4.5      4.5
                                               x = 5
                                          (x, y) = (5, 1)
8 0
3 years ago
Simplify the algebraic expression: (Combine like terms)<br><br> 25 + 3x + 16y - 15 + x - 10y
Maslowich
10+4x+6y because 25-15 3+1 and 16-10
4 0
3 years ago
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