The ratio of dogs to cats in the neighborhood was 3 to 7. If there was 42 dogs in the neighborhood, how many cats were there?

Mathematics

1 answer:

Anon25 [30]3 years ago

3 0

Answer: 98 cats

Step-by-step explanation:

42/3 = 14

7x14 = 98

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Step-by-step explanation:

Here is the math in order to find the prime factorization

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jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .