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disa [49]
3 years ago
14

What is a correct interpretation of the​ statement, "the ratio of dogs to cats is 7 to​ 2"?

Mathematics
2 answers:
GaryK [48]3 years ago
7 0
The ratio of dogs to cats
7 to 2
Let’s look at the answers and cross out some of them

A seems valid, 7/2= 3.5

So B is wrong because 7 is the number of dogs not the number of total animals.

C is wrong because this is a ratio, and if the ratio is 7:2 then there could be 14:4 dogs and cats. 14 — 4 isn’t 5. We are not certain there are exactly this much dogs and this much cats.

D) For every 7 dogs there are 2 cats. 7/2 is dogs divided by cats, while 2/7 is cats divided by dogs

So the correct answer is A

makkiz [27]3 years ago
7 0
7/2 3.5 according to my calculations it’s A
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Step-by-step explanation:

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How many complex roots does the polynomial equation have? −3x4−7x+17=0
zimovet [89]

1) There are two complex roots. A is correct.

2) The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations. D is correct

3) There are four complex roots. B is correct.

4) C is correct.

5)

Step-by-step explanation:

1) Number of complex root.

We can not factor it completely. Because it's prime equation. We will make the graph of  and then see the x-intercept of the graph.

Because number x-intercepts are the zeros of polynomial. Please see the attachment for graph. In graph we can see it cuts only two points but their highest degree is 4. Maximum possible roots are 4 but only 2 are real and 2 are complex.  

Thus, There are two complex roots.

2) This is cubic polynomial function.

Maximum number of zeros should be 3.

Please see the graph with attachment.

Zeros is a value of x where graph cuts x-axis. In graph we can see graph cuts x-axis at three points.

Thus, The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

3) This is 4th degree polynomial.

Maximum number of zeros should be 4.

Please see the graph of polynomial.

Zeros is a value of x where graph cuts x-axis. In graph we can see doesn't cut x-axis at any points.

Thus, The function has four complex zeros. The graph of the function does not intersects the x-axis at any point.

4) We are given 3 degree polynomial. We need to factor it. First we split middle term and then factor it.

Now we factor quadratic part using quadratic formula

Complete factor of f(x)

Thus,

5) This is cubic polynomial. We need to factor it.

First we make two group and then factor it

Thus, complete factor of f(x) is (x+3)(x+4i)(x-4i)

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