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3 years ago

Here is a list of numbers:

Mathematics

2 answers:

Eva8 [605]3 years ago

7 0

Answer:

-7.5

Step-by-step explanation:

The median is all the numbers put in order, then the middle number

Here is what that looks like:

2, -1, 11, -18, -4, 13, -11, -17, -17, -17

-18, -17, -17, -17, -11, -4, -1, 2, 11, 13

-18, -17, -17, -17, -11, -4, -1, 2, 11, 13

-18, -17, -17, -17, -11, -4, -1, 2, 11, 13

-18, -17, -17, -17, -11, -4, -1, 2, 11, 13

Since we have two numbers in the middle

we add them together and divide by 2

-11 + -4 = -15 / 2 = -7.5

ehidna [41]3 years ago

3 0

Answer:

put the numbers in order from least to greatest and then cross them out til you get to the center number

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Use the discriminant to determine what type of roots the equations will have, and categorize the equations according to their ro

topjm [15]

Step-by-step explanation:

The discriminant of the quadratic equation $ax^2+bx+c=0$ :

$\Delta=b^2-4ac$

If Δ < 0, then the equation has two complex roots $x=\dfrac{-b\pm\sqrt\Delta}{2a}$

If Δ = 0, then the equation has one repeated root $x=\dfrac{-b}{2a}[/tex If Δ > 0, then the equation has two discint roots [tex]x=\dfrac{-b\pm\sqrt\Delta}{2a}$

$1.\ x^2-4x+2=0\\\\a=1,\ b=-4,\ c=2\\\\\Delta=(-4)^2-4(1)(2)=16-8=8>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=2\sqrt2\\\\x=\dfrac{-(-4)\pm2\sqrt2}{2(1)}=\dfrac{4\pm2\sqrt2}{2}=2\pm\sqrt2\\\\==============================\\\\2.\ 5x^2-2x+3=0\\\\a=5,\ b=-2,\ c=3\\\\\Delta=(-2)^2-4(5)(3)=4-60=-56$

$3.\ 2x^2+x-6=0\\\\a=2,\ b=1,\ c=-6\\\\\Delta=1^2-4(2)(-6)=1+48=49>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt{49}=7\\\\x=\dfrac{-1\pm7}{(2)(2)}\\\\x_1=\dfrac{-8}{4}=-2,\ x_2=\dfrac{6}{4}=\dfrac{3}{2}\\\\==============================\\\\4.\ 13x^2-4=0\qquad\text{add 4 to both sides}\\\\13x^2=4\qquad\text{divide both sides by 13}\\\\x^2=\dfrac{4}{13}\to x=\pm\sqrt{\dfrac{4}{13}},\ \bold{two\ distinct\ roots}\\\\==============================$

$5.\ x^2-6x+16=0\\\\a=1,\ b=-6,\ c=16\\\\\Delta=(-6)^2-4(1)(16)=36-64=-28$

$7.\ 4x^2+11=0\qquad\text{subtract 11 from both sides}\\\\4x^2=-11\qquad\text{divide both sides by 4}\\\\x^2=-\dfrac{11}{4}\to x=\pm\sqrt{-\dfrac{11}{4}}\\\\x=\pm\dfrac{\sqrt{11}}{2}\ i,\ \bold{two\ complex\ roots}$

6 0

3 years ago

Read 2 more answers

Which situation can be repsented by the inequailty?

Georgia [21]

I think its either A or D

Hope this helps!

4 0

3 years ago

Can someone explain to me step by step how to do -2.5 x -20.

zavuch27 [327]

Answer:

Step-by-step explanation:

-2.5 × -20

negative multiply negative equals positive

(-) × (-) = (+)

so, the answer would be positive.

-2.5 × -20

= <u>5</u><u>0</u>

8 0

3 years ago

Shawna has 3 adults 2 children coming over for dessert. she going to serve 2 small apple pies. if she plans to give each person,

Ostrovityanka [42]

First we have to find number of person.
3adults+2childre+Shawna=6 person
Now we have to divide 2 pie by 6 person to see how much pie each person get.
2:6= $\frac{2}{6} = \frac{1}{3}$ - its the result