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3 years ago

Can someone help me please

Mathematics

1 answer:

tigry1 [53]3 years ago

7 0

Bro okay

0.8($8/book x 6 books) = $38.40

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What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

Solution:

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

Let us determine the nature of roots:

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

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3 years ago

Which statement is true?

spayn [35]

I’m not sure is D , I’m clueless

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3 years ago

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A decrease in the price of a particular product will result in Question 7 options: a decrease in the demand for that product. a

sattari [20]

The answers you could use are both the second and the forth. But mostly the fourth.

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3 years ago

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1.5( x + 4) -3 = 4.5 ( x - 2 )

Hitman42 [59]

Answer:

Step-by-step explanation:

1.5(x + 4) - 3 = 4.5(x - 2)

1.5x + 6 - 3 = 4.5x - 9

1.5x + 3 = 4.5x - 9

3 + 9 = 4.5x - 1.5x

12 = 3x

12/3 = x

4 = x <======

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3 years ago

How many ways can Hannah give three of her eight T-shirts to her younger sister?

prisoha [69]

If Hannah gives her younger sister 3 shirts, it does not matter what order she hands them to her. No matter the order, it will still be the same group of 3 shirt. Since order is not important this problem can be solved using a combination.

Specifically we are asked to find 8C3 (sometimes called "8 choose 3"). This is a fraction. In the numerator we start with 8 and count down 3 numbers. In the denominator we start with 3 and count all the way down to 1. Thus we obtain,

$\frac{(8)(7)(6)}{(3)(2)(1)}=(8)(7)=56$

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3 years ago