A student claims that x=3 and 2+3i are the zeros of a quadratic function. Explain why this is incorrect

Answers

Answer 1

Answer:

Because it's not a quadratic function.

Step-by-step explanation:

Answer 2

The imaginary roots of a quadratic equation will always be in form of a ± b thus 3 and 2 + 3i will be incorrect.

What are the roots of an equation?

The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

The standard form of a quadratic equation is,

ax² + bx + c = 0

The root of it is given by,

x = [-b ± √(b²-4ac)]/2a

For being this as imaginary the term b²-4ac < 0

Let's say b²-4ac = -m then

x = (-b/2a) ± (m/2a)i so both root will be imaginary.

Given that one root is real (3) and the second is imaginary (2 + 3i) is not possible.

Hence "The imaginary roots of a quadratic equation will always be in form of a ± b thus 3 and 2 + 3i will be incorrect".

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Related Questions

can someone help me solve F(x) = -9x-5

Answers

Answer:

Step-by-step explanation:

What you've provided is only a function. What's the complete question?

What is the volume of the cylinder below?

Answers

Answer:

11253.76

Step-by-step explanation:

We know that the formula for the volume of a cylinder is pi(r^2)(h) and we have both the radius (8 yards) and the height (56 yards) given to us. Given this, we can plug those numbers into the equation and do pi x (8)^2 x 56 which is simplified to 3.14 x 64 x 56, and when we solve this out we can get a final answer of 11253.76

If the mean of 5 numbers is 10 and the mean of other 15 numbers is 20 , what is the combined mean of both 20 numbers​

Answers

9514 1404 393

Answer:

  17.5

Step-by-step explanation:

The sum of the 5 numbers is 5·10 = 50.

The sum of the 15 numbers is 15·20 = 300.

The sum of all 20 numbers is then 50+300 = 350, so their mean is ...

  mean = sum/number = 350/20 = 17.5

The combined mean of the 20 numbers is 17.5.

What will be the cost of the paving if cement costs $26.50 per square metre?

Answers

Answer:

hey

Step-by-step explanation:


3 x (5 + 7)
What two words can describe (5 + 7) in the expression above?
O A. quotient and factor
OB.
difference and factor
OC. sum and factor
OD. sum and quotient

Answers

C. A sum and a factor. The sum would be because of the plus sign and it’s in factored form.

The expression contain sum and factor.

The correct option is (C).

What is Expression?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Given:

3 x(5+7)

In the Above Expression we have two operation Multiplication and Addition.

Also, the Multiplication is also termed as factor.

Hence, the expression contain sum and factor.

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Which of the following nets is for a pyramid?

Answers

2nd one

hope it helps you

The net of the pyramid is given by figure B

What is the surface area of the pyramid?

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

A net is a two-dimensional representation of a three-dimensional shape that, when folded along the edges, forms the shape of the solid.

In the case of a pyramid, the net consists of a polygonal base and triangular faces that meet at a common vertex.

The number of triangular faces depends on the type of pyramid (triangular, square, pentagonal, etc.).

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The equation below shows the total volume (V), in cubic units, of 9 identical boxes with each side equal to s units:

V = 9s3

If s = 1.6 units, what is the value of V?

23.040 cubic units
36.864 cubic units
58.980 cubic units
129.60 cubic units

Answers

36.864 cubic units is what the answer is


Is 1 + 4(3x – 10) – 12x equivalent to -9?


Answers

Answer:

No.

Step-by-step explanation:

Remove parenthesis:

1+12x-40-12x

Combine like terms:

-39+0x = -39. -39 is NOT equal to -9.

Just for curiosity, which ‘high school/secondary school’ education is harder, the UK or USA?

Answers

Answer:

UK

Step-by-step explanation:

(−3⋅10^3 )⋅(4⋅10^6)=???

Answers

Answer:

-1.19164 x 10^8

Step-by-step explanation:

The lengths of text messages are normally distributed with a population standard deviation of 6 characters and an unknown population mean. If a random sample of 27 text messages is taken and results in a sample mean of 25 characters, find a 95% confidence interval for the population mean. Round your answers to two decimal places. z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576 You may use a calculator or the common z-values above.

Answers

Answer:

(22.74 ; 27.26)

Step-by-step explanation:

The confidence interval relation is stated as :

Mean ± Zcritical * σ/sqrt(n)

Mean = 25

σ = 6

The Zcritical at 95% = 1.96

Hence,

25 ± 1.96 * (6/sqrt(27))

25 ± 1.96 * 1.1547005

Lower boundary :

25 - (1.96 * 1.1547005) = 22.73678702

Upper boundary :

25 + (1.96 * 1.1547005) = 27.26321298

(22.74 ; 27.26)

For George’s party, his dad bought an ice cream cake. After the party, 1/3 of the cake was left. The next day, George ate half of what was left. Choose the model that shows what fraction of cake George ate

Answers

Answer :

1/3 ÷ 2 = 1/6 left

what is the decimal word form of 120.95?​

Answers

One hundred twenty and ninety-five hundredths ?
One hundred and twenty point nine five

PLEASE HELP ASAP!!!!

Answers

Answer:

Step-by-step explanation:

x y
0 -6
1 -4
2 -2
3 0

The table above represents what type of function?
A.
neither linear nor nonlinear
B.
nonlinear
C.
linear and nonlinear
D.
linear

Answers

Answer: let me check

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

0 -6 is a linear and a nonlinear and it keeps on going

The heights of tomato plants are Normally distributed with Calculate the Z-score for a tomato plant that has a a mean of 3.56 feet and a standard deviation of 0.25 feet height of 4.07 feet. Use the z-lable to answer the question. The Z-score, rounded to 2 decimal places, for a tomato plant that has a height of 4.07 feet is About what percent of tomato plants have a height less than 4.07 feet? Round the percent to 2 decimal places, if necessary About % of tomato plants have a height less thah 4.07 feet



the answers are for the first 2.04% and the second tis 97.93% trust bb :>​

Answers

Answer:

97.03

Step-by-step explanation:

it is the answer

if it is not then I am sorry

In Normal distribution(z) tomato plants have height less than 4.07 feet is 97.93 %.

What is normal distribution?

Normal distribution is a "continuous probability distribution that its symmetrical around its mean with most values near the central peak".

According to the question,

The heights of tomato plants are Normally distributed.

Mean(μ) = 3.56

Standard deviation (σ)  = 0.25

For a tomato plants that has a height of 4.07 feet

In order to find Percentage of tomato plants have a height less than 4.07 feet

Standard Normal Distribution Formula,

z = (x-μ)/σ    where X~(μ,σ).

  = [tex]\frac{4.07-3.56}{0.25}[/tex]

  = [tex]\frac{0.51}{0.25}[/tex] = 2.04.

P ( x < 4.05) = P( z < 2.04 )

                     = 0.9793           ( Using standard Normal distribution table)

To find the percentage of tomato plants have height less than 4.07 feet is

multiply 0.9793 by 100

                     = 97.93%

Hence, Using Standard Normal distribution we find tomato plants have height less than 4.07 feet is 97.93 %

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Triangle PQR has coordinates P (2, 4), Q (-2, 4), R (0,-6).
Write the coordinates of the vertices of the image of a
triangle after a dilation of 2.5.
Select 3 coordinates only.
A) P' (5, 10)
B) P' (0.8, 1.6)
C) Q' (-5, 10)
D) Q' (-0.8, 1.6)
E) R' (-6,0)
F) R' (0, -15)

Answers

Answer: P’ (5,10) , Q’ (-5,10) , R’ ( 0,-15)

Step-by-step explanation:

Just multiply 2.5 by the x,y

Answer:dec I think

Step-by-step explanation:

-8= -4+x
Solve for x

Answers

Answer:

-4 + x = - 8

x = - 8 +4

x = - 4

hope it helps :-

Answer:

-4=x or x=-4

Step-by-step explanation:

Move -4 to the other side by adding 4 on both sides:

-8+4=4-4+x

-4=x or x=-4

Hope this helps!

In triangle ABC, A is a right angle, and mB = 45°. Find BC. If your answer is not an integer, leave it in simplest radical form.

Answers

This triangle is called a 45-45-90 triangle, and the side ratio for the sides opposite to the 45-45-90 degree angles respectively are 1-1-sqrt2

Now we know one side is 6 and its opposing the 45 degrees angle and BC is opposing the 90 degrees angle the ratio between the sides are 1:sqrt2

Therefore BC=6*sqrt2=6sqrt2

Thus B is the correct answer!

Hope this helped any questions just leave them in the comments of this answer.

Find the ratio of 580 ml to 1.12 I to 104 ml

Answers

Answer:

580 : 1120 : 104

Step-by-step explanation:

1.12 ml -> 1120 ml

hence,

580 : 1120 : 104

How many liters of 30% salt solution must be added to 6 L of an 80% salt solution to obtain a 50% salt solution

Answers

Answer:

9 Liters

Step-by-step explanation:

Let us represent:

The number of liters of the 30% salt solution = x

Number of liters for the 80% solution = 6 Liters

Number of liters for the 50% solution = x + 6 Liters

Hence:

x × 30% + 6 × 80% = (x + 6)50%

0.3x + 4.8 = 0.5x + 3

Collect like terms

4.8 - 3 = 0.5x - 0.3x

1.8 = 0.2x

x = 1.8/0.2

x = 9 Liters

Therefore, the number of liters for the 30% Salt solution = 9 Liters

pls help me it is inportant

Answers

Answer:

(5.x)+(5.2)

Step-by-step explanation:

Hope it helps you......

Answer:

nah

Step-by-step explanation:

What is the slope between
(2,5) (4, 13)

Answers

Answer:

m=4..............

Answer:

The slope is: 4.

Step-by-step explanation:

Slope formula:

y2-y1

--------        

x2-x1

Plug in the numbers

13 - 5

--------

4-2

Simplify

8

---

2

Simplify again

4

This is your slope.

Hiii, I have a little maths problem. So I have this at the photo. I checked and the answer should be -0,0081 . But I don't get why is it with a minus cuz a rule says: if ,,a" is a negative number and the degree is an even number then we should make the final number positive but here it's negative. I don't get why. I'll give brainliest if you can help me!

Answers

Answer:

you are correct with -0.0081

Step-by-step explanation:

but if you are multiplying a negative times a positive it is a negative always. So you do a negative times a negative you get a positive. Then you multiply the positive with a negative to get a negative then you do the negative times a negative to get a negative.

Answer:

this is my other account

Step-by-step explanation:

Mr.Evans filled up his 14 gallon gas tank for $28.00. What was the price per gallon?

Answers

Answer:

$2 per gallon

Step-by-step explanation:

28/14=2

workout the value of (2^3)^2

Answers

Answer:

64

Step-by-step explanation:

(2^3)^2 = (8)^2 = 64

your answer would be 64

I need help it's geometry

Answers

Step-by-step explanation:

[tex] \sin(45) = \frac{x}{5} \\ \frac{1}{ \sqrt{2} } = \frac{x}{5} \\ x = \frac{5}{ \sqrt{2} } = 3.535[/tex]

[tex] \sin(45) = \frac{y}{5} \\ y = \frac{5}{ \sqrt{2} } = 3.535[/tex]

Answer:

[tex]\frac{5\sqrt{2} }{2 }[/tex]

Step-by-step explanation:

x=y

45-45-90 equation is x-x- x square root of 2

Find the value of x

A. 5 square root 2/2
B 5
C 10
D 10 square root 2

Answers

Answer:

The answer is C

Step-by-step explanation:

That side with the 5 is equal to 7.071067812.... (irrational number)

To get x you need to use the equation a^2 + b^2 = c^2

A^2 and B^2 will both be the same thing. The red line indicates they are the exact same length.

7.071037812.... ^2 is 50

Now your equation would be 50+50= c^2 (which is the same as x^2)

100= c^2 is simplified by finding the square root of 100.

Your answer is 10 for side X because the square root of 100 is 10.

This problem was solved using the Pythagorean Theorem.

The hypotenuse x of the right triangle is (c) 10

Finding the hypotenuse, x of the right triangle

From the question, we have the following parameters that can be used in our computation:

The right triangle

Where, we have

Leg a = 5√2

Leg b = 5√2

The hypotenuse of the right triangle can be calculated using the following Pythagoras theorem

h² = a² + b²

Using the above as a guide, we have the following:

x² = (5√2)² + (5√2)²

Evaluate

x² = 100

Take the square roots

x = 10

Hence, the hypotenuse of the right triangle is (c) 10

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can somebody help with this please dont put fake answers i really need to pass this test

Answers

Step-by-step explanation:

by using Pythagoras theorem,

h^2= p^2+b^2

or, b^2=h^2- p^2

Answer:

it's 24 cm

30²-18²=

b²=900-324= 576

b²=576

b=24

here you can get free question answer things, so

1+0 = ?

u can get free “helped people”by this

Answers

Answer:

the answer is 1

........

1+0=1

Because anything plus zero equals itself (Example) :

3+0=3, 4+0=4, etc

Therefore

1+0=1

Have a good day!

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