Which of the following polynomials has solutions that are not real numbers?
x2 - 6x +3
x2 + 4x +3
-X2 - 9x - 10
x2 + 2x + 3

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.


Related Questions

Please help asap i will give brainlist!!!!

Answers

Answer:

The answer is D

Step-by-step explanation:

This is because 5π is equal to 15.7

The perimeter of a notebook is 28
inches. The area is 48 square inches.
What are the dimensions of the
notebook?

Answers

Area = length x width

Half the perimeter = length + width


half the perimeter = 14 inches.

Find 2 numbers when added together = 14 and when multiplied together = 48

6 + 8 = 14

6 x 8 = 48


the dimensions are 6 inches by 8 inches

The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
C(Q)=60+6Q,
where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is

Answers

The total revenue of the function is the product of the quantity and the price

The total revenue in terms of P is TR = 20P - 0.01P^2

How to determine the total revenue?

The demand and the cost functions are given as:

Quantity function, Q = 20 - 0.01P

Cost function, C(Q)=60+6Q

The total revenue is calculated as:

TR = Q * P

Substitute Q = 20 - 0.01P in the above equation

TR = P * [20 - 0.01P]

Evaluate the product

TR = 20P - 0.01P^2

Hence, the total revenue in terms of P is TR = 20P - 0.01P^2

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Please Help! Will Give Brainlest!

Answers

Answer:

height of tress is 20 feet

Step-by-step explanation:

because tan = perpendicular/ height

we see option only 20 feet satisfy it

Answer:

Option D :- 20 feet

Step-by-step explanation:

[tex] \sf \tan ( \theta) = \frac{height}{distance} [/tex]

[tex] \rightarrow \sf \: \tan (\theta) = \frac{20}{50} [/tex]

[tex] \sf \: height \: = 20 \: ft[/tex]

please help i am confused.

Answers

The correct answer is the last one

This is because C and F do not join on the shape

Can someone please help me out with this question?​

Answers

Answer:

don't get mad at is i don't get this right

i think it would be D

Step-by-step explanation:

What is the value of x

Answers

Answer: 37

Step-by-step explanation:

74=2x

37=x

You are trying to get X by itself. Since it's 2x usually you would multiply it but in this case, divide it by itself into both sides so 74 divide 2 equals 37. If you know the order of operations then reverse it.

I'm just confused about how the answer choices are only 108 and 18.

Answer:

[tex]\huge\boxed{\sf x = 37}[/tex]

Step-by-step explanation:

Since, vertically opposite angles are equal:

74 = 2x

Divide 2 to both sides

74 / 2 = x

37 = x

OR

x = 37

[tex]\rule[225]{225}{2}[/tex]

A box of sunflower seeds contains p packets. Each packet of sunflower seeds contains s seeds. Which equation can be used to find the number of sunflower seeds in a box, b? *
5 points
p = sb
s = pb
b = sp
b + s = p

Answers

Answer:

b = sp

Step-by-step explanation:

box = seeds per packet

The given relation can be used to find the total number of seeds in box b, using the equation b = sp. Hence, 3rd option is the right choice.

What are equations?

Equations are relations shown between two equal algebraic expressions.

How do we solve the given question?

We are given a box of sunflower seeds, containing p packets of seeds, each of which contains s number of seeds.

We are asked to write an equation that can be used to find the total number of seeds in the box, b.

We know that the box contains p packets of seeds.

In 1 packet we have s number of seeds.

∴ In p packets, we will have an s*p number of seeds or sp seeds.

Since the box contains p packets and the total number of seeds in the box is b, then we can say that

b = the number of seeds in p packets

or, b = sp, which is the required equation.

∴ The given relation can be used to find the total number of seeds in box b, using the equation b = sp. Hence, 3rd option is the right choice.

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Two marathon runners start a race at different times. Runner A stars her race first. and then Runner B starts his race 30 minutes later. Runner A runs 4 miles per hour. Runner B runs 6 miles per hour. Which equation can be used to determine the time in hours, t, that the runners will be side by side, the same distance from the starting line?

Answers

Answer:

4t = 6(t - 1/2)

Step-by-step explanation:

For Runner A, the expression is 4t since this runner's rate is 4 mph. For Runner B, the expression is 6(t - 1/2) since Runner B starts 1/2 hour after Runner A, and this runner's rate is 6 mph. Set these two expressions equal to each other.

Please Help! What is the measure of the reference angle that corresponds to an angle of measure 278°

Answers

Answer:

82 degrees

Step-by-step explanation:

Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive.

82 DEGREES

Select the two values of x that are roots of this equation.​

Answers

Answer:

C and D :)

Step-by-step explanation:

Answer:

c and d

Step-by-step explanation:

Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and gertrude makes monthly payments, how much interest will she pay by the time the loan is repaid? round all dollar values to the nearest cent. a. $4,462.40 b. $1,213.28 c. $1,713.69 d. $2,094.80

Answers

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

[tex]5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29[/tex]

In the 10 years, the refund she gets,

[tex]A_r=63.29\times12\times100\\A_r=7594.8[/tex]

Interest paid by her is,

[tex]I=7594.8-5500\\I=2094.8[/tex]

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

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Answer: D

Step-by-step explanation:

i dont understand this question im very bad at maths

Answers

the volume for a cuboid is length • width • height
so it’s 2400
Answer:

2400cm³

Step-by-step explanation:[tex]Volume=15\times 20\times 8[/tex]

             [tex]=300\times 8\\ =2400cm^3[/tex]

[tex](Analyze\ the\ information\ carefully)[/tex]

I hope this helps you

:)

If B (x,y)=(x-3,y+5), what is B(4,7)?

Can anyone help me please

Answers

Answer:

(B (4, 7 ) = (1, 12 )

Step-by-step explanation:

given

B (x, y ) = (x - 3, y + 5 ) , then

B (4, 7 ) = (4 - 3, 7 + 5 ) = (1, 12 )

Evaluate each power.

a. (−7)0 b. (43)0 c. 10 d. (0.5)0

Answers

Answer: The answer is two

Step-by-step explanation:

Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form?
A. −2x+y=−2

B. 2x−y=−2

C. −2x−y=−22

D. −2x+y=−8

please show step by step

Answers

Answer:

A. −2x+y=−2

Step-by-step explanation:

Find the area of the triangle b= 12.4 cm and h= 18 cm

Answers

Answer:

111.6 cm

Step-by-step explanation:

The area of a triangle can be calculated using the following formula:

Area = (base x height) / 2

Using this formula we can solve this problem in the following way:

We know base = 12.4, and height = 18(12.4 x 18) / 2 = 111.6

Hope this helps!!

Answer:

answer 111.6 cm^2.......

The diameter of a circle is 10 3/4 inches What is the radius, r, of the circle?​

Answers

Answer:

10

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d

2=10

2=5

Math, help, please!
Find the value of x

Answers

Answer:

x = 130

Step-by-step explanation:

A triangle always adds up to 180 de grees. If we do this we can find the value of x!!

33 + 97 + y = 180

130 + y = 180

180 - 130 = 50

Since the line x is on is a flat line and a flat line also equals 180, we will subtract the 50 from 180 to get x's value

180 - 50 = 130

Your answer is 130 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

x = 50°

Step-by-step explanation:

if you know the measure of two angles in a triangle then the third angle measure will be 180 minus the sum of the other two

in this case the two interior angles add to 130

180-130 = 50

check:   33 + 97 + 50 should equal 180, and it does

Nasrin invested $6000 in a bond at a yearly rate of 3%. She earned $450 in interest. How long was the money invested?​

Answers

4 years

6000 x .3 = 1,800. 1800 divided by 450 = 4

Find the volume of a cone with a height of 3.25 centimeters and
a diameter of 2.2 centimeters.

Answers

Answer:

As per Provided Information

Height of cone h is 3.25 cm

Diameter of cone is 2.2 cm

Radius = Diameter/2

Radius = 2.2/2

Radius = 1.1 cm

We have been asked to determine the volume of the cone .

Using Formulae

[tex] \boxed{\bf \:Volume_{(Cone)} = \cfrac{1}{3} \pi {r}^{2}h}[/tex]

Substituting the given value and let's solve it

[tex]\sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times {1.1}^{2} \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 1.21 \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 3.9325 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 12.34805 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{12.34805}{3} \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = 4.11 {cm}^{3} [/tex]

Therefore,

Volume of the cone is 4.11 cm³ .

Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous. that has an extraneous solution. that does not have an extraneous solution. Part 3. Explain why the first equation has an extraneous solution and the second does not.

Answers

Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.

What are extraneous solutions?

Your information is incomplete. Therefore, an overview will be given.  An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.

The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.

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please help this question is hard (25 POINTS!!)

An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).

1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

What is the probability of rolling 2 even numbers?

Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

1/9

Step-by-step explanation:

Sum = 4: (1,3) (2,2) (3,1)

Sum = 12: (6,6)

4/36 = 1/9 or 0.111

hope that helps

You put $125.32 at the end of each month in an investment plan that pays 2.5% interest, compounded monthly. how much will you have after 23 years? round to the nearest cent. a. $46,683.28 b. $4,564,471.88 c. $2,949.39 d. $3,832.84

Answers

After 23 years $125.32 will be matured to $46,683.28.

What is the formula for recurring investment?

The formula for Recurring maturity is given by:

[tex]A=P_n\dfrac{p\times n \times(n+1)}{24}\times \dfrac{r}{100}[/tex]

Where A=matured amount

P =Principal value

n=Number of months

r=Interest rate(annual)

We have P= $125.32

n=23*12 = 276 months

r=2.5*12 =30%

Put these values in the above formula

we get A= $46,683.28

Therefore, After 23 years $125.32 will be matured to $46,683.28.

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Brainliest if correct

Answers

-9 I’m not sure if I’m correct
Yep it’s -9 I’m one hundred percent sure

-2 (3x -5) -2= 22 - 68

Answers

Answer:

9

Step-by-step explanation:

Answer:

i belive the awnser is 9

Step-by-step explanation:

What is zero raised to the power zero?​

Answers

I believe the answer is one.

Answer:

1

Step-by-step explanation:

this is because anything to the power of zero is 1

van brought a 16 pound bag of dog food .hos dog ate 2/3 of the food. how many pounds of dog food did the dog eat

Answers

Answer:

10.66

Step-by-step explanation:

16/3 = 5.3

5.3 x 2 = 10.66

Have an amazing day!

Please rate and mark brainliest!

What is the area of the patio if the yard is 12 feet on each side?
How do I do this?

Answers

Answer:

144 feet squared

Step-by-step explanation:

Squares are 4 sided shapes that have an equal length on each side.

Area Formula

The area of a square (or rectangle) is [tex]l*w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. Due to the fact that squares have four equal sides, the formula can be rewritten as [tex]l^2[/tex].

Solving For Area

Plug the length value into the formula.

[tex]12^2=144[/tex]

Then, add the units to the answer. Because the length is multiplied by itself and the original unit is feet, the units are feet squared.

cual es el máximo común divisor de 72, 90 y 36?

Answers

Answer:

6

Step-by-step explanation:

6 x 6 = 36

6 x 12 = 72

6 x 15 = 90

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