The steps to derive the quadratic formula are shown below:

Mathematics

1 answer:

Georgia [21]1 year ago

3 0

Answer: $x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}$

Step-by-step explanation:

We can rewrite the left hand side as a perfect square, more specifically

$\left(x+\frac{b}{2a} \right)^2$

So, taking the square root of both sides,

$x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}$

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A survey was given to 339 people asking whether people like dogs and/or cats.

lina2011 [118]

Answer:

Step-by-step explanation:

Think of it as a Venn diagram. One circle is the people who like dogs, and one circle is the people who like cats. The overlap is people who like both dogs and cats.

190 people in the survey said they like dogs. That includes the people who like both dogs and cats.

141 people in the survey said they like cats. That includes the people who like both dogs and cats.

If we simply add the two numbers together, we'll be counting the overlap twice. So to find the total number of people who like dogs or cats, we have to subtract one overlap.

dogs or cats = 190 + 141 − x

Therefore:

190 + 141 − x + 88 = 339

419 − x = 339

x = 80

80 people said they liked both cats and dogs.