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3 years ago

4 Which value of x makes the equation 0.25(x+40) = 3+0.75(x - 4) true?

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

Answer:

Step-by-step explanation:

0.25(x+40) = 3+0.75(x - 4)

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What are all of the real roots of the following polynomial? f(x) x^4-24x^2-25

Greeley [361]

Answer:

x = ±5

Step-by-step explanation:

We are given the following polynomial function and we are to find all of its real roots:

$x^4-24x^2-25$

Let $y=x^2$ so we can now write it as:

$y^2-24y-25$

Factorizing it to get:

$(y^2+y)+(-25y-25)$

$y\left(y+1\right)-25\left(y+1\right)$

$\left ( y + 1 \right ) \left ( y - 2 5 \right)$

Substitute back $y=x^2$ to get:

$\left ( x^2 + 1 \right ) \left ( x^2 - 25 \right )$

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The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.

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White raven [17]

Answer:

19 ft.

Step-by-step explanation:

Pytahgorean theorm. A^2 + B ^2 = C^2

49 + 100 = 149

Square root the 149, which is ~12

That means the hypotenuse is twelve feet, and with the base of the pole being seven, the pole was originally 19 feet tall.

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