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3 years ago

1. Explain whether each following example is proportional or non-proportional.

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

3 0

9514 1404 393

Answer:

(a), (b), (c) are non-proportional

(d) is proportional

Step-by-step explanation:

An equation or graph with a non-zero y-intercept is non-proportional. That is true for (a), (b), (c).

The table of (d) is proportional, with a constant of proportionality of 6.5.

<em>Comment on (c)</em>

In a proportional relation, price would go up with quantity, not down. If the prices both end in 9, one cannot be double the other, as would be required for the price of a gallon to be proportional to the price of a half-gallon.

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lions [1.4K]

The answer is -4 cuh

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3 years ago

Plz help!!<br> Consider the given right triangle.

aalyn [17]

Answer:

b = 8

c = 16

Step-by-step explanation:

From the given right triangle,

a = $8\sqrt{3}$ , m(∠B) = 30°

By applying sine rule in the given triangle,

cos(B) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

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Further we apply tangent rule,

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2 years ago

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never [62]

Answer:

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Step-by-step explanation:

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2 years ago

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amm1812

This question is difficult to give a definite answer to because it's an approximation, but I estimate the solutions to be around x = 2.6 and x = -2.6.

When they ask for solutions of the graphed function they are asking for an approximation of where the graph intercepts the x-axis, and we can see it kind of intercepts in the middle of 2 and 3, except slightly closer to 3, which is why I estimated 2.6.

The graph also appears to be symmetrical, which means the solutions will be the same except one would be negative and one would be positive, which means the second solution would be -2.6.

I hope this helps! Let me know if you have any questions :)

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2 years ago

What is the relationship between the discriminant of a quadratic and its graph?

faltersainse [42]

Answer:

In a quadratic equation of the shape:

y = a*x^2 + b*x + c

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D = b^2 - 4*a*c

This thing appears in the Bhaskara's formula for the roots of the quadratic equation:

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

You can see that the determinant is inside a square root, this means that if D is smaller than zero we will have imaginary roots (the graph never touches the x-axis)

If D = 0, the square root term dissapear, and this implies that both roots of the equation are the same, this means that the graph touches the x axis in only one point, wich coincides with the minimum/maximum of the graph)

If D > 0 we have two different roots, so the graph touches the x-axis in two different points.

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2 years ago