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1 year ago

Four students were asked to write a ratio equivalent to - Their answers are

Mathematics

1 answer:

s344n2d4d5 [400]1 year ago

7 0

The most appropriate choice for ratio will be given by-

Jim did not write the correct equivalent ratio.

What is ratio?

Ratio is used to compare between two numbers of the same unit. Ratio determines how much one number is bigger as compared to other.

Suppose the ratio is a : b. a is called the antecedent and b is called the consequent.

Equivalent ratio of $-\frac{4}{79}$

Answer of Cristal = $\frac{-4}{79}$ which is equal to $-\frac{4}{79}$ .So answer of Cristal is correct

Answer of Esmeralda = $-(\frac{4}{79})$ which is equal to $-\frac{4}{79}$ . So answer of Esmeralda is correct

Answer of Jim = $\frac{-4}{-79}$ which is equal to $\frac{4}{79}$ .So answer of Jim is not correct

Answer of Marcus = $\frac{4}{(-79)}$ which is equal to $-\frac{4}{79}$ . So answer of Marcus is correct

So Jim did not write the correct equivalent ratio.

To learn more about ratio, refer to the link:

brainly.com/question/2328454

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Complete Question

Four students were asked to write a ratio equivalent to $-\frac{4}{79}$ Their answers are shown below.

Cristal $\frac{-4}{79}$

Esmeralda $-(\frac{4}{79})$

Jim $\frac{-4}{-79}$

Marcus $\frac{4}{(-79)}$

Which student did not write a ratio that is equivalent to $-\frac{4}{79}$ ?

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zavuch27 [327]

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The equation contains exact roots at x = -4 and x = -1.

See attached image for the graph.

Step-by-step explanation:

We start by noticing that the expression on the left of the equal sign is a quadratic with leading term $x^2$ , which means that its graph shows branches going up. Therefore:

1) if its vertex is ON the x axis, there would be one solution (root) to the equation.

2) if its vertex is below the x-axis, it is forced to cross it at two locations, giving then two real solutions (roots) to the equation.

3) if its vertex is above the x-axis, it will not have real solutions (roots) but only non-real ones.

So we proceed to examine the vertex's location, which is also a great way to decide on which set of points to use in order to plot its graph efficiently:

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Since in our case $a=1$ and $b=5$ , we get that the x-position of the vertex is: $x_v=\frac{-b}{2a} \\x_v=\frac{-5}{2(1)}\\x_v=-\frac{5}{2}$

Now we can find the y-value of the vertex by evaluating this quadratic expression for x = -5/2:

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We can now continue plotting different parabola's points, by selecting x-values to the right and to the left of the $x_v=-\frac{5}{2}$ . Like for example x = -2 and x = -1 (moving towards the right) , and x = -3 and x = -4 (moving towards the left.