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2 years ago

Analyze the data represented in the table and select the appropriate model

Mathematics

1 answer:

Inessa05 [86]2 years ago

3 0

Answer: Option B, a linear relation.

Step-by-step explanation:

Let's analyze the points in the data:

the first 3 pairs are: (0,14.70) (10,19.03) and (20, 23.36)

We can see the differences between consecutive points and see if the relation is linear:

(10,19.03) - (0,14.70) = ( 10 - 0, 19.03 - 14.70) = (10, 4.33) now we need to see the quotient: 4.33/10 = 0.433

(20, 23.36) - (10,19.03) = (20 - 10, 23.36 - 19.03) = (10, 4.33), and the quotient is the same as before.

This means that the relation is a linear relation, where the slope os 0.433 and the x-intercept is 14.70, so the equation can be written as:

y(x) = 0.433*x + 14.70

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Step-by-step explanation:

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2 years ago

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Prove that if one solution for a quadratic equation of theform x2 + bx + c = 0 is rational (where b and c are rational),then the

Elenna [48]

Answer:

The other solution of the given equation x² + bx + c = 0 is also rational number.

Step-by-step explanation:

Here, given: ax² + bx + c = 0 is a quadratic equation

Also, one solution (r) of equation is RATIONAL.

To show: The other solution (s) is also RATIONAL

Now, here: as x² + bx + c = 0

Since r and s are the two given solutions, the given equation can be factorized as:

x² + bx + c = (x -r) (x - s)

Simplifying LHS, we get:

(x -r) (x - s) = x x - r (x) - s (x) + (r)(s)

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or, x² + bx + c = x² + x(-r - s) + rs

Comparing the related terms, we get:

b = (-r - s)

⇒ b + s = - r

or, s = -r - b

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3 years ago

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Answer:

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3 years ago

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Nat2105 [25]

It could be y=1 possibly

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3 years ago

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victus00 [196]

<h2>Explanation:</h2>

Here we have the following expression:

$(csc x - 1) (csc x + 1)$

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$a=cscx \\ \\ b=1$

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3 years ago