how will you know the nature of the roots of the given quadratic equation?

Answers

Answer 1

Hi! here your answer

Answer:

If D≥0, then the roots are real and distinct.

If D=0, then the roots are real and equal.

If D≤0, then no real roots exist

Hope you understood!


Related Questions

Janice wants to find the area of a square tabletop.She uses the formula for the area of a square: A=s2, where s is the length of one side of the square.If s= 3 feet what is the area of the tabltop

Answers

Answer:9

Step-by-step explanation:

You said that the areas is one side multiplied by 2. If one side (S) is 3, then 3 x 3 = 9.

Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees​

Answers

Answer:

I = $ 1,937.50

Step-by-step explanation:

Del Gato Clinic's cash account shows a $11,589 debit balance and its bank statement shows $10,555 on deposit at the close of business on June 30. Outstanding checks as of June 30 total $1,829. The June 30 bank statement lists a $16 bank service charge. Check No. 919, listed with the canceled checks, was correctly drawn for $467 in payment of a utility bill on June 15. Del Gato Clinic mistakenly recorded it with a debit to Utilities Expense and a credit to Cash in the amount of $476. The June 30 cash receipts of $2,856 were placed in the bank's night depository after banking hours and were not recorded on the June 30 bank statement.

Answers

Answer:

Adjusted bank balance $11,582

Adjusted book balance $11,582

Step-by-step explanation:

Preparation of bank reconciliation statements

DEL GATO CLINIC Bank Reconciliation

June 30

Bank statement balance $10,555

Add: Bank deposit $2,856

Total $13,411

Deduct: Outstanding checks $1,829

Adjusted bank balance $11,582

($13,411-$1,829)

DEL GATO CLINIC Bank Reconciliation

June 30

Book balance $11,589

Add: Error in check $9

($467-$476)

Deduct: Bank charges$16

Adjusted book balance $11,582

($11,589+$9-$16)

Therefore Adjusted bank balance will be $11,582 while Adjusted book balance will be $11,582

On which number line are -3 and its opposite shown?
-10
-9
8
-7
-6
-5
4
3
O
1
2
3
4
5
6
7
8 9
10
-10-9-8-7 -6
-54
3
2.1
0
1
2
3
4
5
6
7
8 9
10
toto+
-10-9
-8-7
-6
-5-4
3
2
.1
0
1
2
3
4
5
6
7
8 9 10
- 10 9 8 7
3 2
-1
0
1
2
3
4
6
7
8
9 10

Answers

Answer:

it is on the farthest to the left of the screen

Please help me, I have too many points and willing to give more than the lowest away.

Answers

Answer:

the inequality is +/- 3°C(if this refuses in the computer,try writing +/- T)

range from 34 to 40.


5.76

228
35



Which list shows the lengths in order from greatest to least?

Answers

Answer:

the correct order of these from greatest to least is. 228, 35, 5.76

|6t−7|−8 ≥ 3 Please help me quick

Answers

Hope the answer helps you!!!
:)


Please help if you can!! I would appreciate it alot!



People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?​

Answers

Answer:

44%

Step-by-step explanation:

1144 is 44 percent of 2600

Find the sale price of the item. Round to two decimal places if necessary.


Original price: $76.00

Markdown: 33%


The sale price is $ .


PLZ ANSWER ASAP!

Answers

25.08 I think
I divided 76.00 by 33
$50.92 would be the sale price of the item

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by latex of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Answers

Complete question :

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Answer:

-6°F

Step-by-step explanation:

Temperature at 5am (t1) = - 6°F

Temperature at 3pm (t2) = 36°F

Change in temperature, between 5am and 3pm:

(t2 - t1) = (36 - (-6)) = (36 + 6) = 42°F

Hence, temperature at 8:00 pm:

High temperature - change in temperature between (5am - 3pm)

36°F - 42°F = - 6°F

The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)? Your answer should be an integer.

Answers

Answer:  Remainder = 3

===================================================

Explanation:

The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.

The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.

So we'll need to evaluate p(-1)

To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.

From point A, draw a horizontal line to the y axis. You should reach y = 3.

This is all shown in the diagram below.

In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.

So the remainder is 3.

Answer:

3

Step-by-step explanation:

1.4142 / 2 (must show work)

Answers

Answer:

2.378

Step-by-step explanation:

Find the distance between the points -6.2 and -9.8.Show your work for full credit.

Answers

Answer:

it is 3.6

Step-by-step explanation:

it's in the pictures below.

For question A, I figured out one of the expressions is n^2+2, but I need two, and I have no idea what the second one could be.

For B, I figured out it’s a Quadratic function, but I need help explaining why.

For C, I have nothing.

Answers

C is your correct answer i think ao

evaluate this
| 5+-3-2 |

Answers

Answer:

0 is the answer

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

5+-3= -2

-2-2=0

A kennel owner has 400 feet of fencing to enclose a rectangular dog exercise pen. Express the area of the exercise pen, A, as a function of one of its dimensions, x. A(x) = x(x - 200) A(x) = x(x - 200) A(x) = x(400 - x) A(x) = x(400 - x) A(x) = x(200 - x) A(x) = x(200 - x) A(x) = (200 - x)2

Answers

Answer:

A(x) = x(200-x)

Step-by-step explanation:

400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet

If x is length and y is breadth. Perimeter is given by :

P = 2(x+y)

400 = 2(x+y)

⇒ (x+y) = 200 .....(1)

y = 200-x

Area of a rectangle is given by :

A = xy

A(x) = x(200-x)

Hence, the area as a function of length of rectangle is x(200-x).

-6 - 13
I don’t get it can someone explain?

Answers

Subtracting a negative number is basically just addition. Think of it as 6+13, which would be 19.

Answer:

-19

Step-by-step explanation:

So, you can also write this equation as:

-6 + -13 = -19

For example:

You owe your friend $6.

You borrow 13 more dollars from him.

Now you owe him $19.

You have $-19 because you are in debt.

Hope I helped :)

Please consider Brainliest :)

What is the value of x in the equation below?
-3-(-8)-(-2)= X
-13
3
ОО

Answers

Answer:

log2 8=c

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-3-(-8)-(-2)=

-3+8+2=

7

A skydiver falls 60 feet in five seconds. How far does the skydiver fall per
Second

Answers

Answer:

12 feet

Step-by-step explanation:

60/6 = 12

Answer:

8 feet per 1 second

(without drag or windcurrents)

Step-by-step explanation:

60÷5=8

help me plzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

$1.25

Step-by-step explanation:

10-2.50=7.5

7.5/6=1.25

hope this helps :3

Answer: $1.25

Step-by-step explanation:

10-total

(1 notebook)-2.50, 6 pens

10-2.50=7.50

7.50/6(pens)=1.25

If x=2, what is the value of y in the equation y=3x−1

A. y=3

B. y=-5

C. y=-3

D. y=5

please help fast please

Answers

Answer:

D.

Step-by-step explanation:

If y=3(2)-1, then y=6-1, therefore y=5

Y=5 - explanation 3•2 = 6-1- y=5

Find the slope of the line that passes through:
(-4,7) and (-6, -4)

Answers

Answer:

Ok:

Step-by-step explanation:

The formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Here, we can plug in values where x2 = -6, x1 = -4, y2=-4, and y1 = 7. Solving, we get the slope is 11/2 or 5.5.

11/2 or 5.5 is your answer bud

8(x+1)-7x ≥-3 help me find the solution

Answers

Answer:

x [tex]\geq[/tex] 11

Step-by-step explanation:

[tex]8\left(x+1\right)-7x[/tex]

[tex]8x+8-7x[/tex]

[tex]x+8[/tex]

Then..

[tex]x+8\ge \:-3[/tex]

Subtract 8 from both sides

[tex]x+8-8\ge \:-3-8[/tex]

Then, you got your awnser.

[tex]x\ge \:-11[/tex]

what is 6(x+-2) simplify to ​

Answers

Answer:

6 −12

Step-by-step explanation:

6(−2)

6−12

6x−12

A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answers

Complete question is;

The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answer:

We would conclude that the new program doesn't seem to be more effective than the old program.

Step-by-step explanation:

We are given;

Population mean; μ = 91

Population standard deviation; σ = 10

Sample mean; x¯ = 90.7

Sample size; n = 19

Formula for z-score

z = (x¯ - μ)/(σ/√n)

z = (90.7 - 91)/(10/√19)

z = -0.131

From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;

P-value = 0.4479

This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.

The Montanez family is a family of four people. They have used 3,485.78 gallons of water so far this month. They cannot exceed 7,250.50 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.

Answers

Answer: yes

Step-by-step explanation:

this month 3485.78/4 = 871.445 gallons per person

Drought month 7250.50/4 = 1812.625

difference 7250.50 - 3485.78 = 3764.72

The height, hh, of a plant (in inches) ww weeks since it was planted is represented by the equation h=1.2w+3h=1.2w+3. How many weeks ( round up to the nearest whole number) will it take the plant to reach one foot? ( Hint: convert feet to inches.) Answer value

Answers

Answer:

It will take 8 weeks for the plant to reach one foot.

Step-by-step explanation:

The equation is:

[tex] h = 1.2w + 3 [/tex]

Where:

h: is the height = 1 foot

w: is the time in weeks =?

We can convert feet to inches as follows:

[tex] 1 feet = 12 inches [/tex]

[tex] h = 1 ft*\frac{12 in}{1 ft} = 12 in [/tex]

Hence, the number of weeks is:

[tex] w = \frac{h - 3}{1.2} = \frac{12 - 3}{1.2} = 7.5 = 8 [/tex]

Therefore, it will take 8 weeks for the plant to reach one foot.

I hope it helps you!                                

Please help ASAP 4 and 5 will mark brainliest and give 10 points

Answers

Answer

I know the answer to number 4 is No

Step-by-step explanation:

Because when you plug the coordinates (8,-44) into the equation y=-7x+6 it gives the wrong output of -50

Need help with this one fast

Answers

Answer:

a ≈ 43.64

hope this helps

this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2​

Answers

Answer:

have you found the answer I need it to

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