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3 years ago

What percent of 45.4 is 6.81

Mathematics

1 answer:

Savatey [412]3 years ago

5 0

The awnser to this is 45%

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The amount 5th grade students grow during the school year is normally distributed with a mean of inches and a standard deviation

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3 years ago

Use the quadratic formula to solve the following equation -3x^2-x-3=0

tigry1 [53]

Answer:

$x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i$ are two roots of equation $-3 x^{2}-x-3=0$

Solution:

Need to solve given equation using quadratic formula.

$-3 x^{2}-x-3=0$

General form of quadratic equation is $a x^{2}+b x+c=0$

And quadratic formula for getting roots of quadratic equation is

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case b = -1 , a = -3 and c = -3

Calculating roots of the equation we get

$\begin{array}{l}{x=\frac{-(-1) \pm \sqrt{(-1)^{2}-4(-3)(-3)}}{2 \times-3}} \\\\ {x=-\frac{1}{6} \pm\left(-\frac{\sqrt{-35}}{6}\right)}\end{array}$

Since $b^{2}-4 a c$ is equal to -35, which is less than zero, so given equation will not have real roots and have complex roots.

$\begin{array}{l}{\text { Hence } x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i \text { are two roots of equation - }} \\ {3 x^{2}-x-3=0}\end{array}$

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3 years ago

Given:

Ulleksa [173]

Triangle ASA's congruence theorems can be used in this ptoof

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2 years ago

the area of a rectangle is 2x^2-5-3 and the length of the rectangle is 2x+1. find the width of the rectangle

ZanzabumX [31]

Answer:

$x - 3$

Step-by-step explanation:

$\frac{2{x}^{2} - 5x - 3}{2x + 1} = \frac{[x - 3][2x + 1]}{2x + 1} = x - 3$

This is much faster than doing long-polynomial division, which we could have done, since the divisor is not in the form of x - c, where −c gives gives the OPPOSITE TERMS OF WHAT THEY REALLY ARE.

I am joyous to assist you anytime.

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3 years ago