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fomenos
3 years ago
13

X^2+10x+19=0 complete the square PLEASE EXPLAIN

Mathematics
1 answer:
wlad13 [49]3 years ago
8 0

Answer:

Step-by-step explanation

In the form ax^2+bx+c

a x c should equal two factors of b

However, in this equation

1 x 19 has no factors that = 10

so you must use the Quadratic Formula which is,

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

so the answer should be

x = \frac{-10+-\sqrt{10^2-4(1)(19)} }{2(1)}

x = \frac{-10+-\sqrt{24} }{2}

x = \frac{-10+2\sqrt{6} }{2}      and    x = \frac{-10-2\sqrt{6} }{2}

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Answer:

n=17

Step-by-step explanation:

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3 years ago
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The cumulative distribution function f(x) of a discrete random variable x is given by f(0) =. 30, f(1) =. 70, f(2) =. 90 and f(3
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Correlation between x & y is 0.6125.

In probability theory and statistics, the cumulative distribution function of a real-valued random variable X, or simply the distribution function of X weighted by x, is the probability that X takes a value less than or equal to x.

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7 0
2 years ago
Simplify the rational expression. State any restrictions on the variable.
ExtremeBDS [4]

we are given

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}

Firstly, we will factor numerators and denominators

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-6)(n^2-4)}{(n^2-3)(n^2-6)}

we can see that

n^2 -6 is factor on both numerator and denominator

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so, one of restriction is

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we can simplify it

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3 years ago
What is the height, x, of the equilateral triangle?
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Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. h = 7\sqrt{3} inches.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

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For this problem, we have that:

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Hence the height is found as follows:

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