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Bumek [7]
2 years ago
15

What is the discriminant of the quadratic equation 2x² - x - 3=0?

Mathematics
1 answer:
Tamiku [17]2 years ago
6 0

The given quadratic equation is

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

comparing with

{ax}^{2}  + bx + c = 0

We get ,

a = 2 \\ b =  - 1 \\ c =  - 3

formula :

D =  {b}^{2}  - 4ac \\  \\ D =  {( - 1)}^{2}  - 4 \times 2 \times ( - 3) \\  \\ D = 1 - ( - 24) \\  \\D  = 1 + 24 \\  \\D  = 25.

Discriminant of given quadratic equation is 25 .

option (B) 25 ✔

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List all the factors of the number 48.
Anni [7]
The answer would be 1,2,3,4,6,8,12,16,24,48

hope this helps!
4 0
3 years ago
50 POINTS IF ANSWERED, BRAINLIEST IF EXPLAINED
puteri [66]
M=change in y/change in x
Finding gradient of the orginal line
=3+1/0-3
=-4/3
Since parallel lines are equal the other line would be -4/3 (gradient)
Sub (-3;2) into y=mx+c
2=-4/3 (-3)+c
2=4+5
2-4=c
-2 = c

Therefore sub all your info and you get y= -4/3x-2
6 0
3 years ago
Squandering Sam has $1,050 in his bank account. Every week he withdraws $40 to buy scratch off tickets. Saving Sally doesn’t hav
shtirl [24]

Answer:

15 weeks

Step-by-step explanation:

Week 1: 1,050 ≠ 0

Week 2: 1,010 ≠ 35

Week 3: 970 ≠ 70

Week 4: 930 ≠ 105

Week 5: 890 ≠ 140

Week 6: 850 ≠ 175

Week 7: 810 ≠ 210

Week 8: 770 ≠ 245

Week 9: 730 ≠ 280

Week 10: 690 ≠ 315

Week 11: 650 ≠ 350

Week 12: 610 ≠ 385

Week 13: 570 ≠ 420

Week 14: 530 ≠ 455

Week 15: 490 = 490

4 0
3 years ago
A.Calculate the mean,median and mode.(3 points each) 1.)1,2,3,4,5 2.)2,3,4,5,6,6 3.)6,7,5,4,5,6,2,5
zlopas [31]

Answer:

Step-by-step explanation:

1.)1,2,3,4,5

mean=sum of all values/number of values

         =1+2+3+4+5/5

         =15/5

mean=3

Mode :

In the given data, no observation occurs more than once.

Hence the mode of the observations does not exist, means mode=0.

Median

1,2,3,4,5

Middle value is 3 so the median is 3.

2.)2,3,4,5,6,6

mean=sum of all values/number of values

         =2+3+4+5+6+6/6

         =26/6

mean =4.33

Mode

      is that value of the observation which occurs maximum number of times so here mode is 6.

Median

2,3,4,5,6,6

 4+5/2

9/2

median=4.5

3.)6,7,5,4,5,6,2,5

mean=sum of all values/number of values

         =6+7+5+4+5+6+2+5/8

        =40/8

mean =5

Mode

is that value of the observation which occurs maximum number of times so here mode is 5

Median

2,4,5,5,5,6,6,7

5+5/2

10/2

median=5

 

5 0
3 years ago
Factor 3x2 - 15x - 42.
11Alexandr11 [23.1K]
3 x^{2} - 15x - 42
(x-7)(x+2)
 x-7=0 x+2=0
 x=7,-2
8 0
3 years ago
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