Mathematics High School

ax4 + bx2 + c=0 (a>0) (c>0)
The quadratic equation has two solutions If
1)b2>4ac
2) b2-4ac>0

Answers

Answer 1

The quadratic equation has two solutions if b^2 - 4ac > 0

Given the equation ax^4 + bx^2 + c=0

Let P = x^2

Substitute into the formula to have:

a(x^2)^2 + bx^2 + c =0

The equation becomes aP^2 + bP + c = 0

For us to have a unique solution, the discriminant b^2 - 4ac must be greater than zero. Hence the quadratic equation has two solutions if b^2 - 4ac > 0

learn more on discriminant here; https://brainly.com/question/1537997

Related Questions

I need help please!!!

Answers

Answer:

x=1

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1

Brainliest would be appreciated! :-)

Another way to find the AOS, is by looking at the f(x) function, the last number will always be the AOS.

Answer 1 question. Thanks

Answers

the slope of the line is -3 :))

please help asap!!!!

Answers

Answer:

justin biberis black

Step-by-step explanation:

Do the ratios 18 7 and 2 1 form a proportion?

Answers

Hi!

There are a few ways we can do this. The first one is this:

The ratios 18:7 and 2:1 can be represented as fractions: [tex]\frac{18}{7}[/tex] and [tex]\frac{2}{1}[/tex]

To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.

Therefore they are not proportions.

The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:

[tex]\frac{18}{7}[/tex]  [tex]\frac{2}{1}[/tex]

To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.

Therefore they are not proportions.

Hope this helps! Have a great day! Let me know if you need any other help :D

67-7x(12-3)
Evaluate

Answers

Answer:

67-63x

Step-by-step explanation:

y - 12 = 89
y - 12 +____
=89 + 12
y=?

Answers

the answer is y=101 ! :)

Answer:101

Step-by-step explanation:

help pls please PLEASE​

Answers

Answer:

c

Step-by-step explanation:

it's really product of power

Are these geometric shapes ASA, SSS, SAS or None?

I WILL GIVE BRAINLIEST TO BEST ANSWER!
refer to image.

Answers

Answer:

4)ASA

6) ASA

2) SSS

8) SAS

Step-by-step explanation:

numbers 4 and 6 are ASA because we have 2 congruent angles and one congruent side. Also, they r in the pattern angle, side, angle. Which makes it ASA

number 2 is SSS because all 3 sides are congruent

number 8 is SAS because because there are 2 congruent sides and one congruent angle. They are seen in the pattern side, angle, side. Which makes it SAS

hope that helps and I apologize about earlier

have a wonderful day!

Answer:

2) None, 4) ASA, 6) ASA, 8) ASA

Step-by-step explanation:

#2

We have two parallel sides.

This gives us two pairs of alternate interior angles and one pair of vertical angles.

In total 3 congruent angles. This is not enough to state congruence.

None

#4

We have two pairs of congruent angles and an included common side.

This is good to state the triangles are congruent by ASA

#6

Similarly to above question, we have two pairs of congruent angles and an included common side.

This is good to state the triangles are congruent by ASA

#8

We have one pair of congruent sides and the parallel sides gives us two pairs of alternate interior angles and a pair of vertical angles.

We can state the triangles are congruent by ASA as the congruent side is included.

please help ill give brianliest to whoever gets the question right :)

Answers

Answer:

72

Step-by-step explanation:

I this problem I'm sure you're supposed to multiply: 24 x 3 = 72

hopefully this helped :)

A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.

How much was deducted from the original price?

$0.40

$4.20

$5.20

$7.80

Answers

First of all we have to find 40% of $13.00
13x40/100=5.2
Then 13-5.2=7.8
Answer is $7.80

an airplane on autopilot took 5 hours to travel 3,475 kilometers, what is the unit rate?

Answers

Km/h kilometre per hour

2/3 (4x + 3) = 1/4 (3x - 15)

Answers

Answer:

x=-3

Step-by-step explanation:

Answer

X=3

I used math calculator and it gave me x = 3 :)

show your solution 5x + 12 =42

Answers

Answer:

6

Step-by-step explanation:

5x+12=42

subtract 12

5x=30

divide by 5

x=6

Answer:

x = 6

Step-by-step explanation:

5x + 12 = 42=> 5x = 42 - 12=> 5x = 30=> x = 6

Conclusion:

Therefore, the answer is 'x = 6'.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

What si 19 3/4 + 19 3/8

Answers

Answer:

313 over 8=39 and 1 over 8 39 1 /8 =39.125

Step-by-step explanation:

[tex]\sf -8(6x+3)[/tex]

Answers

Answer:

[tex] - 8(6x + 3) = - 8 \times 6x + - 8 \times 3 \\ = - 48x - 24[/tex]

I need help with this question can someone plss help me!!

Answers

Answer:

Step-by-step explanation:

If t=100, find 2t + 1

Answers

201. Because you 2*100+1= 200+1= 201

moira solved rubik's cube in 3 minutes and 30 seconds. what is moira's solving rate?

Answers

In the context of rubiks cube solving the rate at which one can solve a rubiks cube is determined by the number of cubes solved and the time taken

In this question we were told that moira solved a rubiks cube in 3 minutes 30 seconds

Let us convert time total time to seconds

3 minutes 30  in seconds = 3*60+ 30 = 180+30 = 210 seconds

Hence  Moira rate  = 1 rubiks cube/210 seconds

Learn more about rate:

https://brainly.com/question/25184007

I neeeed the answer I’m mad confused

Answers

Answer:

KNOW PAIN FEEL PAIN ACCEPT PAIN

The selling price is $9,500

work:
50,000 • 0.19 = 9,500

Enter <, > or = to make the statement true. 17.001 [?] 17.0001​

Answers

Answer:

17.001>17.0001

Answer:

17.001>17.0001

Step-by-step explanation:

17.001 is greater than 17.0001

write 200% as a decimal​

Answers

Answer:

Percent Decimal

80% 0.8

90% 0.9

100% 1

200% 2

Answer:

2.00

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).

If the base of the parallelogram is 8 and the perimeter is 28 then what is the area?

Answers

Answer:

the answer is 28 for the area.

Solve for x. Round your answer to the nearest tenth if necessary.
70°
6
X

Answers

Answer:

Tan 70 = opp/adj

Tan 70 = x/6

multiply by 6 on both sides

16.5 = x

38499 divided by 779

Answers

Step-by-step explanation:

49.43 is your answer bro brainlist plz

the answer is 49.421

Help me pleaseeee with this

Answers

Ok done. Thank to me :>

The sum of -14 and a number is positive. Identify a possible value for that number
Explain your selection

Answers

Answer:

15

Step-by-step explanation:

Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.

Simplify the following expressions using the laws of exponents.

Answers

Answer:

Salmat po sa lahat

Step-by-step explanation:

ako ay from pilipinas na padpad lng dito ^_^

While moving up on the rope-way, I noticed that the seat place in the opposite direction was numbered as 95. Behind it was number 0, then 1, 2 and so on. My seat place was numbered as 66. What number should I meet when I am in the middle of my one-way route?

Answers

The seat in the middle of the one-way route is 34

The seats are given as:

[tex]First= 0[/tex] --- the first seat behind the seat number 95

[tex]Last= 66[/tex] --- my seat

The seat number half-way would be:

[tex]Half = \frac{Last - First}{2} + 1[/tex]

This gives

[tex]Half = \frac{66- 0}{2} + 1[/tex]

Subtract 0 from 66

[tex]Half = \frac{66}{2} + 1[/tex]

Divide 66 by 2

[tex]Half = 33 + 1[/tex]

Add 33 and 1

[tex]Half = 34[/tex]

Hence, the seat in the middle of the one-way route is 34

Read more about median at:

https://brainly.com/question/8892632

What's the answer please help me!

Answers

Answer:

0.62

Step-by-step explanation:

10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:

1st move: 620 -> 62.0

2nd move: 62.0 -> 6.20

3rd move: 6.20 -> 0.62

Consider this problem: 2+3(3)+5(2+3)+2(-5)
a.
How many terms are in the expression?

Answers

Answer:

[tex]5[/tex]

....,,,✨✨✨✨✨✨✨

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