Select the quadrant or axis where each ordered pair is located on a coordinate plane.

1 answer:

4 0

The first quadrant is the upper right hand corner of the graph where both y and y are positive

the second quadrant in the upper left hand corner includes negative values of x and positive values of y

the third quadrant the lower he as corner includes negative values of both x and y

the fourth quadrant the lower right handed corner the x is positive and the y is negative

hope this helps, can i have brainliest please

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Find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -Si (Show all work to earn credit.)

antoniya [11.8K]

Answer: The required polynomial of lowest degree is $p(x)=x^3-2x^2+25x-50$

Step-by-step explanation: We are given to find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -5i.

We know that

if x = a is a zero of a real polynomial function p(x), then (x - a) is a factor of the polynomial p(x).

So, according to the given information, (x - 2) and ( x + 5i) are the factors of the given polynomial.

Also, we know that complex zeroes occur in conjugate pairs, so 5i will also be a zero of the given polynomial.

This implies that (x - 5i) is also a factor of the given polynomial.

Therefore, the polynomial of lowest degree (three) with real coefficients having zeroes of 2 and -5i is given by

$p(x)=(x-2)(x+5i)(x-5i)\\\\\Rightarrow p(x)=(x-2)(x^2-25i^2)\\\\\Rightarrow p(x)=(x-2)(x^2+25)\\\\\Rightarrow p(x)=x^3-2x^2+25x-50$

Thus, the required polynomial of lowest degree is $p(x)=x^3-2x^2+25x-50$

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4 years ago

Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify.

densk [106]

$\frac{3}{3- \sqrt{6x} } = \frac{3}{3- \sqrt{6x} } \times \frac{3+ \sqrt{6x} }{3+ \sqrt{6x} } \\ = \frac{3(3+ \sqrt{6x})}{3^2-( \sqrt{6x} )^2} = \frac{3(3+ \sqrt{6x})}{9-6x} \\ =\frac{3(3+ \sqrt{6x})}{3(3-2x)}=\frac{3+ \sqrt{6x}}{3-2x}$

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The only pairs for the greatest common factors of 5 are 1, 5

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Answer:

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= 8 feet³

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Answer:

a,c,d

Step-by-step explanation:

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