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3 years ago

What Is the answer?

x < 14" alt="6x + 2 + 6x < 14" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

timofeeve [1]3 years ago

5 0

6x+2+6x<14

add 6x+6x

12x+2<14

subtract 2 from both sides

12x<12

divide by 12

x<1

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Solve the equation 3x+x²=-7. Does the number of solutions match the information provided by the discriminant? Explain

MA_775_DIABLO [31]

Answer:

$-\frac{3}{2}+\frac{\sqrt{19}i}{2}$ and $-\frac{3}{2}-\frac{\sqrt{19}i}{2}$

Step-by-step explanation:

$3x+x^2=-7\\\Rightarrow x^2+3x+7=0$

Discriminant

$D=b^2-4ac\\\Rightarrow D=3^2-4\times 7\times 1\\\Rightarrow D=-19$

If the discriminant is a negative number then the roots of the equation are imaginary

$x=\frac{-b\pm \sqrtD}{2a}\\\Rightarrow x=\frac{-3\pm \sqrt{-19}}{2\times 1}\\\Rightarrow x=-\frac{3}{2}\pm \frac{\sqrt{19}i}{2}\\\Rightarrow x=-\frac{3}{2}+\frac{\sqrt{19}i}{2}, x=-\frac{3}{2}-\frac{\sqrt{19}i}{2}$

So, the two solutions are $-\frac{3}{2}+\frac{\sqrt{19}i}{2}$ and $-\frac{3}{2}-\frac{\sqrt{19}i}{2}$

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3 years ago

F(x)=-3x^2+9x-8 Find f(5)

Oxana [17]

Answer:

-38

Step-by-step explanation:

You replace the x with 5.

turns it into -3 (5)^2+9(5)-8

-3(25)+45-8

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4 years ago

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Please help...Write a congruency statement for the pair of triangles

Sergeu [11.5K]

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