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".

To learn more about the roots of equations,

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Related Questions

Two learners are planning to make baskets to raise money for the honors society at their school. Marcia will make baskets out of palms. Norma plans to make baskets out of pine straw. Together, they have $100 to spend on supplies.

The palm baskets cost $4 to make and will sell for $20.
The pine straw baskets cost $3 to make and will sell for $17.
The learners agree that they will each make at least 14 items. Let x represent the number of palm baskets and let y represent the number of pine straw baskets.

Answers

Answer:

3

Step-by-step explanation:

Pretty sure it is the third but sorry if im incorrect

Can anyone help me with this question?

Answers

It is the top left option
Top left option is the answer you’re looking for

I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class.

Answers

Answer:

option 1 i think

Step-by-step explanation:

imma just take these 5 points back

If Ms. Wong takes out a loan of 85000 dollars with a simple interest of 5% annually, how much would she have to pay in 2 years if she returns 35000 after the first year? Show your work and your thinking.

(PLEASE HELP !!)

Answers

85,000 + 5% = 89,250 , 85,000- 35,000 = 50,000* 5% = 52,500 so
Answer = 6,760 in interest + the original 85,000 = 91,750

What is the base of the expression 11/12

Answers

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

2x x 5z x y
simplify the equation ​

Answers

Answer: The simplified form of 2x · 5z · y is 10xzy.

Step-by-step explanation:

What time is it in Vietnam right now?

Answers

Answer:

it's

3:26 pm to be exact!

Step-by-step explanation:

15:26

Friday,19February 2021

I hope it's helpful!

59:
Evaluate the function requested. Write your answer as a fraction in lowest terms.
B
39
15
36
Find tan A
a
5
tan A =
13
C.
5
tan A -
12
b.
13
d.
12
tan A =
tan A -
5

Answers

Answer:

Step-by-step explanation:

solve the equation r4·r3 = _____

Answers

r12 because you multiply the numbers but keep the (r)

pls help me solve surds , √75 ,√48, √12,√125,√28. pls help​

Answers

√75 = √(5²×3) = √5² √3 = 5√3 = 8.66

√48 = √(4²×3) = √4² √3 = 4√3 = 6.93

√12 = √(2²×3) = √2² √3 = 2√3 = 3.46

√125 = √(5²×3) = √5² √3 = 5√3 = 11.18

√28 = √(2²×7) = √2² √7 = 2√7 = 5.29
All the answers are rounded off to the nearest hundredth.

√75 = 5√3 = 8.66

√48 = 4√3 = 6.93

√12 = 2√3 = 3.46

√125 = 5√5 = 11.18

√28 = 2√7 = 5.29

A meteorologist found that the rainfall in Campbell during the first half of the month was 3/10 of an inch. At the end of the month, he found that the total rainfall for the month was 1/2 of an inch. How much did it rain in the second half of the month?

Answers

Answer: 1/5

Step-by-step explanation:

Let the amount of rainfall in the second half of the month be represented by x.

From the information given in the question, the equation formed will be:

3/10 + x = 1/2

x = 1/2 - 3/10

x = 5/10 - 3/10

x = 2/10

x = 1/5

Therefore, the answer is 1/5

subtract (2y + 3x-x²) from (5x²-y2-2x)​

Answers

Answer:

6x² - 5x - y² - 2y

Step-by-step explanation:

We have

5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1

= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms

=  6x² - 5x - y² - 2y

Hey It's Chloe again, sorry.
But what is the perimeter of a rectangle?

Answers

Answer:A perimeter is the sides of a shape added together.

Step-by-step explanation:

Answer:

The perimeter of a rectangle is the total length of all the sides of the rectangle.

Step-by-step explanation:

The perimeter of a rectangle is the total length of all the sides of the rectangle. We can find the perimeter by adding all four sides of a rectangle. Since opposite sides of a rectangle are always equal, we need to find the dimensions of only two sides to find the perimeter of a rectangle.

If you have a 2 inches by 4 inches rectangle, you would have 2 inches + 4 inches + 2 inches + 4 inches = 12 inches

Graphf (x) = 3x + 4 and a h(x) = -f(x).

Answers

Answer:

I think the answer is 56 .

If mZBAC = (7x + 1) º and
mZBCA = (52 + 9) . what is the
measure of the vertex angle?

Answers

Answer:  122 degrees

==========================================================

Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

-----------

Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

angle A = 7x+1 = 7*4+1 = 28+1 = 29angle C = 5x+9 = 5*4+9 = 20+9 = 29

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

-----------

The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.  

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".

I know the answer for this isn't a , but I'm not sure what the answer is. Cuz I would think you would be z y , y x, and XZ but that's not answer choice ​

Answers

Answer:

its the first one

Step-by-step explanation:

Clasificación de los ángulos de acuerdo a sus aberturas

Answers

Answer:

recto, agudo, obtuso, liano, completo, convexo, cóncavo

Step-by-step explanation:

PLSSSS HELP IM BEGGING YOU PLSSSS

Answers

92000 in expanded form
9.2 x 10^4 in scientific notations
Simplify 10^4 to 10,000 and 10^3 to 1,000:
9 x 10,000 + 2 x 1,000

Simplify 9 x 10,000 and 2 x 1,000:
90,000 + 2,000

= 92,000

A Square has the vertices at (-2,6) (6,1) (1,-7) (-7,-2). At what point do the diagonals of the square intercect

Answers

Answer: At point ([tex]-\frac{1}{2},-\frac{1}{2}[/tex])

Step-by-step explanation: Diagonal is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.

In other words, the diagonals of a square meet at their midpoint, which is found as the following:

(x,y) = [tex](\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})[/tex]

The opposite vertices of the given square are (-2,6) and (1,-7).

So, the intersection is

(x,y) = [tex](\frac{-2+1}{2} ,\frac{6-7}{2})[/tex]

(x,y) = [tex](-\frac{1}{2},-\frac{1}{2} )[/tex]

The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point [tex](-\frac{1}{2},-\frac{1}{2} )[/tex].

hola me ayudan pliss como saco el resultado de 584 × (?) =179288 y (?) ÷ 143 = 572​

Answers

1) = 307
2) = 81796

1) 179288/584 = 307
2) 572 x 143 = 81796

Answer:

1)307

2)81796

Step-by-step explanation:

584 × (?) =179288

[tex]\frac{179288}{584}[/tex] =307

(?) ÷ 143 = 572​

572x143 =81796

¡Espero que esto sea de ayuda! :)

10 points possible. answer everything completely and I will mark brainliest

Answers

Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.

Step-by-step explanation:

fractionsss
15/7 = 2 1/7 right?

Answers

Answer:

Yepp!!

Step-by-step explanation:

[tex]\frac{15}{7}[/tex] = 2[tex]\frac{1}{7}[/tex]

1. Use a trigonometric ratio to determine the value of x for each the
triangle. Round your answer to the nearest hundredth. *
8 mm
Х
26°

Answers

Read the top and you have your answer
The trigonmetric ratio is the answer... And if not then try brainlys quick answers

Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did sean awnser correctly?

A. 11%
B. 18%
C. 90%
D. 98%​

Answers

Answer:

90%

Step-by-step explanation:

18/20 × 100 = 90%

I hope this helps!

Answer:

Sean answered 90% of the questions in the quiz correctly

oh whoopsie somebody answered already but oh well- 乁[ᓀ˵▾˵ᓂ]ㄏ

Samuel Morse determined that the percentage of t's being used in the English language in the 1800's was 9%. A random sample of 600 letters from a current newspaper contained 48 t's. Test the claim that the proportion of t's has changed in modern times, using the current newspaper data and a significance level of 0.05

Answers

Answer:

There is insufficient evidence to indicate that the population proportion of t’s in modern newspaper is different from 0.09. The result is not statistically significant

Step-by-step explanation:

H0 : p0 = 0.09

H1 : p0 ≠ 0.09

Sample size, n = 600 ; α = 0.05

Decision region

Zstatistic < Zcritical ; reject H0

P = 48 / 600 = 0.08

Zstatistic = (p - p0) ÷ sqrt((p0(1 - p0)) /n)

Zstatistic = (0.08 - 0.09) ÷ sqrt(0.09(0.91))/600)

Zstatistic = - 0.01 /0.0116833

Zstatistic = - 0.856

Zcritical at 0.05, = - 1.96

Zstatistic > Zcritical

-0.856 > - 1.96

Hence, we fail to reject the Null

Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=

Answers

Answer:

Seventh term is 64

Sum of the first seven terms is 127

Step-by-step explanation:

The common ratio is 2

[tex]a_{n} = a_{1} r^{n - 1}[/tex]    

n = 7 and the first term is 1.  So,

[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]

Seventh term is 64

[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]

[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]

    [tex]= \frac{128 - 1}{1} = 127[/tex]

Sum of the first seven terms is 127

what is the mean of the data set? 16, 24, 26, 13

Answers

Answer:

20

Step-by-step explanation:

17+24+26+13=80

80/4=20

WILL GIVE BRAINLIEST IF CORRECT!
This number line models the division problem ​1/6÷4​ .

What is the quotient?

Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer:

1/24

Step-by-step explanation:

1/6 / 4

1/6 x 1/4

1/24

0.41667 is the decimal or 1/24

A sign in a bakery gives these options: Option A: 15 cupcakes for $30 Option B: 30 cupcakes for $56 Option C: 60 cupcakes for $100 1. Find each unit price to the nearest cent. 2. Which option is the best deal per cupcake and gives the lowest unit price?​

Answers

We’re looking for cost per cupcake.

Option A: 15 cupcakes for $30
$30 / 15 = $2 per cupcake

Option B: 30 cupcakes for $56
$56 / 30 = $1.86666 (round to $1.87) per cupcake

Option C: 60 cupcakes for $100
$100 / 60 = $1.66666 (round to $1.67) per cupcake

Option C is the lowest unit price, and best deal

The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:

Determine whether the data described in the tables is best modeled by a linear function or an exponential function

Answers

Answer:

oak tree is a linear function and birch tree is exponential

Step-by-step explanation:

cuz i just did it

The oak tree have a liner function and the birch tree have exponential function .

What is linear function?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

What is exponential function?

An exponential function is a mathematical function of the following form:

f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

According to the question

The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:

Number of Oak trees (x)                       Number of branches  f(x)

0                                                                     34

3                                                                     46

6                                                                    59

9                                                                    70

12                                                                   82  

So in this table we can see that there is increment in number of branches but in a pattern approx.

i.e

f(x) = 34 + 4(x)

where x will be Number of Oak trees

therefore it is a Linear function

Number of Birch trees (x)                         Number of branches f(x)

0                                                                       8

10                                                                    33

20                                                                   128

30                                                                   512

40                                                                 2049  

So , in this table is increasing in a very fast pace but in a pattern approx.

i.e

f(x) = [tex]8*4^{\frac{x}{10} }[/tex]

Therefore it is an exponential function

Hence, The oak tree have a liner function and the birch tree have exponential function .

To know more about Linear functions and exponential function here:

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