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3 years ago

Is this irrational or rational?

Mathematics

2 answers:

Sergio039 [100]3 years ago

7 0

Answer:

irational

Step-by-step explanation:

Helga [31]3 years ago

6 0

Answer:

irrational

Step-by-step explanation:

because √3 is irrational

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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

I need the answer asap .! help please !

shtirl [24]

Answer:

i tried the math and if im correct it should be 0.52N

Step-by-step explanation:

im sorry if its not correct bro

8 0

2 years ago

PLEASE HELP!!!!!! TIMED QUESTION!!!! FIRST CORRECT ANSWER WILL GET BRAINLIEST....PLEASE ANSWER NOW!!!!

Margarita [4]

Answer:

Option (3)

Step-by-step explanation:

From the picture attached,

Bar graph sketched shows the grades earned by the students in an exam.

Number of students who achieved the grade A = 17

Number of students who achieved grade B = 14

Number of students with grade C = 5

Number of students with grade D = 9

Total students who took the exam = 17 + 14 + 5 + 9 = 45

Option (1)

" $\frac{1}{5}$ of the students earned a C"

Fraction of students who earned C = $\frac{\text{Students who earned C}}{\text{Total students}}$

= $\frac{5}{45}$

= $\frac{1}{9}$

Therefore, this option is incorrect.

Option (2)

"3% more students earned an A then B"

Percentage of students who earned A = $\frac{\text{Students got A}}{\text{Total students who took the exam}}\times 100$

= $\frac{17}{45}\times 100$

= 37.78%

Percentage of students who earned B = $\frac{\text{Students got B}}{\text{Total students who took the exam}}\times 100$

= $\frac{14}{45}\times 100$

= 31.11%

Difference in percentage = 37.78 - 31.11

= 6.67%

Therefore, this option is not correct.

Option (3)

"20% of the students earned a D"

Percentage of students who earned D = $\frac{\text{Students got D}}{\text{Total students who took the exam}}\times 100$

= $\frac{9}{45}\times 100$

= 20%

Option (3) is the correct option.

Option (4)

" $\frac{1}{4}$ of the class earned a B"

Fraction of class who earned B = $\frac{\text{Students got B}}{\text{Total students who took the exam}}$

= $\frac{14}{45}$

Therefore, Option (4) is not correct.

6 0

3 years ago

In what form is the following linear equation written? y-3=2/3(x-1)

lions [1.4K]

First we solve what we can solve.
y-3= 2/3(x-1)
We first multiply
y-3= 2/3 (x) - 2/3
Then we move the -3 and it becomes +3 on the other side
y= 2/3 (x) - 2/3 + 3
And we solve what we can to get our answer.
y= 2/3 (x) + 2 1/3

3 0

3 years ago

Read 2 more answers

75 points! Will mark brainliest! Only answer if you know it! Random answers will be reports because I’m trying to get the true r

Anna [14]

Answer:

y=1/2x

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line parallel to y=1/2x−8

I know this isn't much but please don't report me. I got this answer ):

6 0

3 years ago