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

PLEASE HELP!! I need someone who know probability and statistics please.
A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value.

A. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.

B. Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.

C. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.

D. Assuming the true population proportion of shoppers who will make a purchase is different from 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.

Answers

D because I should make more since

please help me on this

Answers

Answer:

$44.68

Step-by-step explanation:

plus you have would have to find out what the money would be 10% off and then you add on the sales tax

answer should be $44.67
step by step explanation in photo:

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

Domain and Range of {(0,2), (2,4), (-1,1)}

Answers

Domain = {-1, 2, -1,0,1,2}
Range = {0,1,4)

Find the difference in lowest terms. 15/19 - 7/19

Answers

Answer: 8/19

Step-by-step explanation:

15/19 - 7/19 = 8/19

8/19 cannot be simplified further

Supply the missing reasons to complete the proof.

Answers

Answer:

3. ASA

4. Corresponding sides of congruent triangles are congruent

Step-by-step explanation:

I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.

If the triangles are congruent, then all corresponding angles and sides are also congruent.

i need help please thanks ​

Answers

Answer:

D) each input has only one output.

Step-by-step explanation:

Write the following five interest rates in descending order (greatest to least): 5.51%, 5 1/2%, 5 5/8%, 5.099%, 5.6%

Answers

Answer:

5 5/8%, 5.6%, 5.51%, 5 1/2%, 5.099%

Step-by-step explanation:

5 5/8% reduces to 5.625…and 5.099% is the least because it isn’t even 5.1%…

So it goes—> 5.625%, 5.6%, 5.51%, 5 1/2% (5.50), and then 5.099%.

The descending order of interest rates is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

What is Descending Order?

When numbers are arranged in descending order, they are done so from  largest to least . We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in descending order: Determine how many digits each number has.

Given data ,

Let the total number of data be = 5

Now , the data can be represented in Set A = { 5.51% , 5 1/2% , 5 5/8% , 5.099% , 5.6% }

On simplifying the elements in the set , we get

5.51 % = 5.51 / 100

5 1/2 % = 5.5 / 100

5 5/8 % = 5.625 / 100

5.099 % = 5.099 / 100

5.6 % = 5.6 / 100

Now , the arranging the numbers in the descending order , we get

Hence , the interest rates in the descending order is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

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Over 27.5 days, a lake's water level changed by an average of −1.37 centimeters each day.

What was the total change in the water level?

Enter your answer as a decimal in the box.

Answers

Answer:

-37.675

Step-by-step explanation:

27.5 X -1.37 = -37.675

Which set of equations has (3, 1)as its solution?
O A and B
O And D
O Band D
O A and D

Answers

Answer:

A and D is representing the solution.

Step-by-step explanation:

We can see that the lines (A and D) are both intersecting at 3, 1. Remember, if the lines are intersecting at a point, that point is the solution of the equation. Therefore, Option B is correct.

Hoped this helped.

[tex]GeniusUser[/tex]

−3.6−1.9t+1.2+5.1t

Khan academy pls help

Answers

Answer:

3.2t - 2.4

Step-by-step explanation:

Line Segment LM is the midsegment of the isosceles trapezoid ABCD. Find

Answers

Answer:

115

Step-by-step explanation:

They are opposite angles. You can tell because they are on the same line, and one is smaller than the other. So together they equal 180.

180 - 65 = 115

I hope this helps!!


[tex] \sf2 + 63 - 36 - 2[/tex]


Here's some points ~ ​

Answers

2+63-2=32

Bye hope this help!

Fill in the boxes please

Answers

[tex]Given: AD \parallel BCAD∥BC and AD=CB[/tex]

To Prove: [tex]AB \parallel DCAB∥DC[/tex]

1. [tex]AD \parallel BCAD∥BC , AD=CB[/tex]

Reason: Given

2. AC = AC

Reason: Reflexive Property of Equality

3. [tex]\angle 2 = \angle 3∠2=∠3[/tex]

Reason: If Lines are parallel, then Alternate Interior Angles are Equal).

4. [tex]\Delta ACD \cong \Delta CABΔACD≅ΔCAB[/tex]

Reason: SAS

5. [tex]\angle 1 = \angle 4∠1=∠4[/tex]

Reason: CPCTE

6. [tex]AB \parallel DCAB∥DC[/tex]

Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.

Answer:

The missing Statements and reasons are given below

Statement                                                  >>   Reason

4. CB ≅ BC                                               >> reflexive property of congruence

5. ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DBC   >>   Alternate interior angles theorem

6. ΔACB ≅ ΔDBC                                      >>   ASA congruence

7. AB ≅ DC and AC ≅ DB                         >>   CPCTC

How do I write 4 times difference of a number and 8

Answers

Answer:

4(n-8)

Step-by-step explanation:

4(n-8)

I think it'd be written like this

RSM problem solve it please for me

Answers

hello! :p

area of shape one is 12

and area of shape to is 36

In not 100% sure but I thought I could try to help! Don't take my word for it though. :) Have a wonderful day!

What is the domain and range ?

Answers

Answer:

domain: [0, ∞)

range: (-∞, 0]

Step-by-step explanation:

the domain is all the possible x-values, which is all the numbers from 0 to infinity.

the range is all the possible y-values, which is all the numbers from negative infinity to 0.

The domain refers to the set of possible input values. The domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values shown on the y-axis.

Domain=the set of all x-coordinates={1,2,3,4}.
Range= the set of all y-coordinates={2,3}

If someone can ride a skateboard 2 miles in 10 minutes how many miles can still ride the skateboard and 1.5 miles

Answers

Answer:

7 and a half minutes. have a good one.

A truck can be rented from Company A for ​$110 a day plus ​$0.20 per mile. Company B charges ​$80 a day plus ​$0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

130

Step-by-step explanation:

Step 1: write equations:

Company A: y = 0.20x + 110

Company B: y = 0.50x + 80

Step 2: graph your lines

Step 3: Find your intersect point

Step 4: find the points: (100,130)

The number of miles is y, so at 130 miles, both trucks are the same cost

Hope that helps


Which expression shows a way to find 22 X 46?

Answers

Answer:A. (22)(40)+(22)(6)

Step-by-step explanation: (22)(40)+(22)(6)

880+(22)(6) 880+132 1012

Please help me with this question :)
I will mark you as brainliest

Answers

[tex]\text{Given that,}\\\\s_1 = 5.95,\\\\s_2 = 5.42\\\\\\F= \dfrac{(s_1)^2}{(s_2)^2} = \dfrac{(5.95)^2}{(5.42)^2} = 1.21[/tex]

pls help it's due today​

Answers

Answer:

x = 5

y = 8.66

Step-by-step explanation:

I hope this helps!!

help me pleaseeeeeeeeee

Answers

Answer:

thats the answer

Step-by-step explanation:

because the filipinos are magaling sa math

What is the remainder when 3 is
synthetically divided into the polynomial -2x2 + 7x - 9?

A. -6
B. -4
C. 2
D. 0

Answers

The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.

What is the remainder when 3 is synthetically divided into the polynomial?

It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.

On this note, it follows that the expression evaluation at x = 3 represents the required remainder.

Therefore, we have;

-2 (3)² + 7 (3) - 9

= -18 + 21 - 9

= -27 + 21

= -6

Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.

Therefore, the correct answer choice is; Choice A; -6.

Read more on synthetic division of Polynomials;

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Given: AC = 4DC, BC = 4EC
Prove: A = D​

Answers

Two triangles that are proportional to each other and have the same angle are similar.

3 tickets to the museum cost $12.75. At this rate, what is the cost of:
1 ticket?
5 tickets?

Answers

Answer:

1 ticket would be $4.25

5 tickets would be $21.25

Step-by-step explanation:

Hope that help, mind if a get a brainliest now?

Answer:

4.25 for 1 ticket, 21.25 for 5

Step-by-step explanation:

12.75 divided by 3 = 4.25 x 5 = 21.25

Suppose you were given this table. Select all of the true statements.

x y
6 3
12 6
18 9
24 12


The ratio of x to y is the slope.



The ratio of y to x is the slope.




The equation of the graph is y = 2x.




The equation of the graph is y = 12
1\2x

Answers

Answer:

The ratio of y to x is the slope

The equation of the graph is y = 1/2x

Step-by-step explanation:

In this scenario, we see that 1/2 of x always equals y, so the y-intercept is 0. This means that the slope is equal to 1/2, and that is the ratio of y to x.

Which object has the most kinetic energy?


A. A motorcycle traveling 26 km/h


B. A car traveling 25 km/h


C. A bicycle traveling 18 km/h


O D. A dump truck waiting at a stoplight

Answers

Answer: The answer is B, a car traveling 25 km/h.

Find the value of x.

Answers

Answer:

X=24

Step-by-step explanation:

(X+16)°+6x=180°(being co-interior angle)

7x=180-16

X=164÷7

X=23.428

X=23

or,

(3x-1)+5x=180(being co-interior angle)

8x=181

X=181÷8

X=22.625=23

please help i cant figure out the accurate answer i beg and i will mark brainlist

Answers

Answer:

D

Step-by-step explanation:

50-40=10

8-39=-31

-31/10=-3.1

So the answer is D.

Hope this helped! :)

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