What is 5% of 220? Show work please

Mathematics

2 answers:

Aloiza [94]4 years ago

6 0

What number is 5% of 220?

Since we don't know what number it is, we can use X.

The word "of" means multiply, so we can rewrite the problem.

luda_lava [24]4 years ago

5 0

It is easier (for me anyway) to find 10% then work around that.
Following that path would mean that, by making a table:

100% = 220
10% = 22
5% (Which is half the 10) = 11

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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

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