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The discriminant of the function is positive

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the discriminant of the function be represented as D

Now , the value of D is

D = ( b² - 4ac )

And , when ( b² - 4ac ) is positive, we get two real solutions

When a quadratic function contacts the x-axis on two different occasions, the function should be positive in this case. When the quadratic function intersects the x-axis precisely on one occasion, the function should be equal to zero.

When the x-axis shouldn't cross the function graph, the function should be smaller than zero.

Hence , the discriminant of the function is positive

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The complete question is attached below :

Using the graph as your guide, complete the following statement.

The discriminant of the function is

Answer:

x+20=41

Step-by-step explanation:

You already have some number of seashells, x, and add 20. Then you have 41, so:

x + 20 = 41

Hope that helps! :)

Answer: 729

Step-by-step explanation:

The insurer's part of the medical bill is 80 percent of the medical bill after deductible

The insurer would cover 80 percent of the insured's claims on the medical bill based on coinsurance agreement. However, the insured would have to pay deductible prior to coinsurance(80,20 share of bill)

Example: if insured's annual deductible is $2000 and coinsurance is 80:20, a medical bill of $10000, assuming the insured has not paid any deductibles, would amount to 80% of $8000(after subtracting deductibles) for the insurer"s cover and the rest for the insured.

Insurance deductibles are paid before your health plan covers its part of the medical bill, usually 80 percent.

Depending on your agreement with the insurer there could also be a copay on the insurance policy.

Learn more here: https://brainly.com/question/13564874

Answer:

I think the answer is C. x²-11x+18

Step-by-step explanation:

I'm sorry I can't explain I'm busy right now

Answer:

It should be 38.1

Answer:

Draw a picture of FOUR calculators and TWELVE pencils

Step-by-step explanation:

just double what you see in the picture

Answer:

41.5g of sugar

Step-by-step explanation:

8.3 x 5

Answer:

No solution :(

Step-by-step explanation:

-2(x-2)-4x=3(x+1)-9x  love these problems.

-2x+4-4x=3x+3-9x<-- I first multiplied the number outside of the parentheses to the numbers inside. Keep in mind that when a negative time a negative, it equals a positive, in the case of -2*-2.

-6x+4=-6x+3<-- I then combined like terms.

Right away I see that -6 and -6 would cancel out if i just added it to the other side. Thus this equation has no solution.. sorry.

Answer:

0.875

Step-by-step explanation:

Answer:

15:27:63

Step-by-step explanation:

solve by multiplying the ratio by the opposing number.

a b b c

5 9 3 7

multiply 5 x 3 = 15

multiply 9 x 3 = 27

mutliply 9 x 7 = 63

Answer:

Step-by-step explanation:

This is a permutation of 7 letters with double O and double C:

P = 1

I = 1

C = 2

O = 2

L = 1

--------

p = N! ÷ k!

p = 7! ÷ 2!2!

p = 5,040 ÷ 4

P = 1,260

2 + 6 + 18 + 54 + ...

 This is a geometric sum and there is a way to find the sum of however many terms as you would like.

 The initial term is S1 = 2, the ratio of successive terms is r = 3.

 The sum for a geometric sequence of the first n terms is given by

 Sn = S1(1 - rn)/(1 - r)

Apply this formula for n = 10.

Answer:

Calculate the average rate of change for the graphed sequence from n = 1 to n = 3.

graphed sequence showing point 1, 2, point 2, 4, point 3, 8, point 4, 16, point 5, 32, and point 6, 64

1

2

3

6

Step-by-step explanation:

Answer:

c

Step-by-step explanation

First you have to find the radius.

3.5 divide by 2 = 1.75

v= 4/3 pi r ^3

v = 4/3 (3.14) (1.75)^3

v= 4/3 (3.14) (5.36)

v= 4/3 (16.83)

v= 4/3 (16.83) = (4/3) (16.83/1)

v= (4/3) (16.83/1) = 67.32/3 = 22.44

Answer:

Approximately 12.25%

Step-by-step explanation:

The compound interest formula is:

Final balance = Principal * (1 + interest rate/number of times interest compounded per year)^(number of times interest compounded per year * years elapsed)

If we want our final balance to be twice our principal, our formula looks like:

[tex]2P = P * (1 + \frac{r}{1})^{1*6}[/tex]

We can divide our principal from both sides to get the following equation:

[tex]2 = (1 + \frac{r}{1})^{6}[/tex]

Since anything divided by 1 is itself, we can simplify a little further to:

[tex]2 = (1 + r)^{6}[/tex]

Now, we need to solve for r.  We can start by taking the sixth root of both sides.

[tex]\sqrt[6]{2} = 1 + r[/tex]

Then subtract 1 from both sides:

[tex]\sqrt[6]{2} -1 = r[/tex]

Finally, we can use a calculator to get a decimal approximation:

0.1225 ≅ r

Answer:

The value of ”c” can by found by this formula: (b/2)^2. In this equation the ”b” is 6. So, (6/3)^2=3^2=9.

The value of “c” that completes the square is 9.

:)

Answer:

When factoring by grouping also called factoring in pairs, we should split the expression into two pairs that have something in common. The idea is that after we factor each pair, we get a binomial common factor.

Step-by-step explanation:

Answer:

it is 11 pages per hour

Step-by-step explanation:

so if you have 11 in a hour it should be 11 pages per hour

Answer:

49 cents that is the answer

Answer:

0.28 repeating- yes, this is a repeating decimal

0.74...- yes, this is a repeating decimal

0.3162..- no, this is a decimal that neither terminates nor repeats

0.816..- yes, this is a terminating decimal

Step-by-step explanation:

Terminating decimals:

Repeating decimals:

Non-terminating, Non-repeating decimals:

Answer: Profit

Step-by-step explanation:

1.  She made profit

2. She got 300 more than what she bought it for.

3. Her percentage was I think 25% more ( i am not sure on this one)

Answers:

B:

1. 2

2. 3

3. 1

4. 4

5. 2

C (Leading term):

1. 3x

2. x^4

3. 7

4. x^2

5. 2x^2

C (Degress of the Polynomial):

1. 1

2. 4

3. 0

4. 2

5. 2

Answer:

x=10. hope this helps

Step-by-step explanation:

Answer:

- x - 16

Step-by-step explanation:

Step-by-step explanation:

1. quantity, amount, or degree of something measured per unit of something else her typing rate was 80 words per minute. b : an amount of payment or charge based on another amount specifically : the amount of premium per unit of insurance.

2.A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate

Answer:

m∠2 = 17°

Step-by-step explanation:

y + 10 = 3y - 24

34 = 2y

17 = y

Answer:

A. No, because it fails the vertical line test.

Step-by-step explanation:

A because is dosent pass the vertical line test

Answer:

?????????

Step-by-step explanation:

What are u asking

Answer:

x = 117º

Step-by-step explanation:

Supplement to 117 is

180 - 117 = 63

The angle below line BC is marked as congruent to the 63º angle and is therefor also 63º

Therefor x is the supplement to 63º

180 - 63 = 117º

x = 117º