Hey there!

1. To solve 9 x 5 , I could add the number 9 five times . . .

9 + 9 + 9 + 9 + 9 = 45

9 x 5 = 45 <----

2. I would use the same strategy as the first one, except add the number 8 five times . . .

8 + 8 + 8 + 8 + 8 = 40

8 x 5 = 40 <----

Hope this helps you.
Have a great day!

8 0

3 years ago

Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6

horsena [70]

Answer:

$x^{4} -18x^{3}+104x^{2} -172x-100$

Step-by-step explanation:

The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:

$\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))( x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\$

7 0

3 years ago

A square has an area of 160 square feet. What is the length of one side of the square, in feet?

WINSTONCH [101]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

4.4.3 Quiz: Independence

lbvjy [14]

Answer:

$\frac{2}{15}$

Step-by-step explanation:

<h2><u>Lesson : Probability</u></h2><h2><u></u></h2>

We have a bag with 4 white chips and 6 black chips
Question : What is the probability of randomly choosing a white chip, not replacing it, and then randomly choosing another white chip?

4 white and 6 black

4 + 6 = 10

Choosing the first white chip : $\frac{2}{5}$