Under what circumstance can the quadratic function not be written in factored form

Answers

Answer 1

Answer:

When the discriminant of a quadratic function is negative than it is not be written in factored form.

Step-by-step explanation:

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then

1. It is factorable if [tex]D=b^2-4ac\geq 0,[/tex] i.e., graph of function intersect the x-axis, roots of the function are real.

2. It is not factorable if [tex]D=b^2-4ac< 0,[/tex] i.e., graph of function does not intersect the x-axis, roots of the function are imaginary or complex.

It means, the quadratic function not be written in factored form when the discriminant of a quadratic function is negative.


Related Questions

Help ASAP!!!!
Use vector operations to draw the resultant vector
Draw 2u – 1/3v.

Answers

Vectors are elements of the vector space, and they can be illustrated by diagrams.

How to draw the vector 2u - 1/3v

The vector expression is given as:

2u - 1/3 v

Split the vector expressions, as follows:

[tex]y_1 = 2u[/tex]

[tex]y_2 = -\frac13v[/tex]

See attachment for the graphs of y1 and y2.

Next, we have:

[tex]y = 2u - \frac13v[/tex]

So, we have:

[tex]y = y_1 + y_2[/tex]

The above expression means that, we add the vectors y1 and y2 to get vector y

See attachment for the graph of 2u - 1/3 v

Read more about vectors at:

brainly.com/question/14480278

10. Read the question carefully and type your answer in the space below. *
3 points
Use each digit shown below to create a 5-digit number with the greatest value and
a 5-digit number with the least value. Each digit can only be used once in each
number. Then write a number sentence using >,<, or = to compare the two
numbers you created.
2, 9, 1, 3, 8
Your answer
This is a required question
Submit
Never submit passwords through Google Forms.

Answers

Answer:

Greatest = 98,321

Least= 12,389

98,321>12,389

Step-by-step explanation:

there are only 5 digits. To get the greatest number, the digits with the most value should be put in front to ensure the great value.

To get the smallest number, the digits with the least value should be put in front.

The greater valued number is greater than the least valued number

Evaluate f(-3) if
f(x)=x^2+2x
Be sure to include f(x)=
due in 1 hour

Answers

Answer:

[tex]f(-3)=3[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+2x\\\\f(-3)=(-3)^2+2(-3)\\\\f(-3)=9-6\\\\f(-3)=3[/tex]

Answer:

f(-3) = 3

Step-by-step explanation:

plug in -3 for x in the equation.

(-3)^2 + 2(-3)

9 + (-6)

9 - 6

3

State the range of f(x) on this domain interval.

Answers

Answer:

The range of a function is the set of outputs of the function

on the graph, outputs of a function are on the y-axis. So we will see the highest and the lowest output of this function

From the graph, we see that the function has the outputs:

{0 , 1 , 2 , 3 , 4 , 5 , 6}

Therefore, this is the range of the function

HELP ASAP ILL GIVE BRAINLIEST AND EXTRA POINTS

Answers

it going to be number three

the answer to this is x=1

Ms. Russell has 31 students in her class. There are 14 boys and 17 girls. What fraction represents the number of girls in her class.

Answers

31 students total
14 boys
17 girls

17/31 girls fraction

(PLS ANSWER)

Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.

Answers

Answer:

(3 2/3)+(2 2/3)+ (6 1/3)

so your answer is 12 and 2/3

Step-by-step explanation:

that is the equation I would recommend doing 3+2+6=11 and then 2/3+2/3+1/3= 1 2/3

A penguin walks 10 feet in 6 seconds. how far does the penguin walk in 45 seconds EXPLAIN OR SHOW YOUR REASONING

Answers

Answer:

75 feet in 45 seconds

Step-by-step explanation:

*disclaimer*

dont know if this is how you were taught to do this but heres how i was:

[tex]6 sec /10 ft. = 45 sec / x[/tex]

Set this up as a proportion.

Then multiply 10 ft by 45 sec, and 6 sec by x

Your equation then simplifies to

6x = 450

x = 75

help 50 poitns Describe the power function f(x)=x^5. What does it look like? Where does it cross the x- and y-axis? How many turns does it make?
What is the end behavior for f(x)=x^5?

Answers

f(x) = x^5 looks like a snake and is similar to f(x) = x^3 but it is flatter. It crosses the x and y axis at the origin (0,0). It makes 2 turns. The end behavior goes up to positive infinity

A certain electronic component manufacturing process produces parts, 20% of which
are defective. Parts are shipped in units of 400. Shipments containing more than 90 defective parts
may be returned. You may assume that each shipment constitutes a simple random sample of parts.

Answers

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Can you help me find the surface area of this prism?

Answers

Answer:

To find the surface area of this parallelepiped, we need to know how to find the area of a regular parallelogram.

Formula for area of a parallelogram;

A = BH

Where b represents the base, and h displays as the height.

Once, we know how to find the area of a parallelogram, we find the areas of the three different sides of this figure and multiply it by two since opposite sides have an equal area.

Now we find the area of the front parallelogram:

A = BH

Plug in our values;

A = 4(2)

A = 8, and since opposite sides are equal:-

8(2) = 16, is the area of both the front and back parallelograms.

Now the top and bottom bases of this parallelepiped.

But, to find the height and base of this, we transfer the base of the front parallelogram and the base of the right parallelogram. So our base and height is 4.

A = BH

Plug in our values;
A = 4(4)

A = 16, and since opposite sides are equal:-

16(2) = 256, is the area for both the upper and bottom bases.

Now for the right and left parallelograms;

A = BH

Plug in our values;

A = 4(2.5)

A = 10, since opposite sides are equal:-

10(2) = 20, is the area of both the right and left parallelograms.

Now we add all the areas together:

16 + 256 + 20

= 292 square meters.

Factorise 2x² + 6x + 36​

Answers

Answer:

[tex]2 (x^2+3x+18)[/tex]

Step-by-step explanation:

hope the image helps

Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent. From 27 to 31

Answers

Given parameters:

Initial value  = 27

Final value  = 31

Unknown:

Percentage change = ?

Solution:

The percentage change is the difference between the final and initial value divide by the initial value multiplied by 100;

      Percentage change  = [tex]\frac{Final value - Initial value}{Initial value} x 100[/tex]

  Input the parameters and solve;

  Percentage change = [tex]\frac{31 - 27}{27} x 100[/tex]  

                                    = 14.8%

The percentage change is 14.8%. This is an increase because the value move from 27 to 31.

An umbrella is made up of 6 isosceles triangular pieces of cloths. The measurement
of the base of each triangular piece is 28 cm and two equal sides are 50 cm each.
If the rate of cost of the cloth is Rs 0.50 per sq. cm., find the cost of the cloths
required to make the umbrella.​

Answers

There you go

PLEASE MARK IT AS A BRILLIANT ANSWER

make a box-and-whisker plot for the set of data 21,27,27,25,21,13,18,25

Answers

Answer:

See the critical points of the box plot below

Step-by-step explanation:

Find the 5-number summary that indicates the points:

Minimum value, maximum value, median, median of lower half, median of upper half

First, put the data in the acsending order:

13, 18, 21, 21, 25, 25, 27, 27

Now, find the 5 numbers:

The minimum is 13The median of the lower half is (18 + 21)/2 = 19.5The median is (21 + 25)/2 = 23The median of the upper half is (25 + 27)/2 = 26The maximum is 27

Answer:

Step-by-step explanation:

Based on the table, what is the number string that corresponds to the text “Hello Raya”?

Answers

The number string is an illustration of the addition operation

The number string that corresponds to the text “Hello Raya” is 97

How to determine the number string?

The text is given as:

“Hello Raya”

From the table in the complete question, we have the following representations:

H = 8; E = 5; L = 12; O = 15; R = 18; A = 1; Y = 25; _ or space = 0

The sum of the numerical values of the characters are:

Sum = 8 + 5+ 12 + 12 + 15 +0 + 18 + 1+ 25 + 1

Evaluate the sum

Sum = 97

Hence, the number string that corresponds to the text “Hello Raya” is 97

Read more about addition operation at:

https://brainly.com/question/4344214

8-2(-4-7) not sure how to do this?

Answers

You always have to do what is inside the parenthesis first

-4 - 7 = -11

Next, you have to times that result with 2 (don't mind the negative/minus sign yet)

2 * (-11) = -22

8 - (-22) = 30

Answer = 30

solution of the line y − 2x = 6

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-2*x-(6)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y-2x-6 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

6th-grade math help on geometry.

Answers

Answer:

okay , attach a file .

Step-by-step explanation:

a cyclist rides his bike at a rate of 40 kilometers per hour. what is this rate in miles per hour? how many miles will the cyclist travel in 5 hours? in your computations, assume that 1 mile is equal to 1.6 kilometers. do not round your answers.

Answers

Answer:

64 miles per hour; 320 kilometers in 5 hours

Step-by-step explanation:

take 1.6 multiplied by 40 and get 64 for the first question

then take 64 multiplied by 5 and get 320 for the second question

Select the prime number

Answers

Please there are no options
But prime numbers are numbers with only 2 factors the number itself and 1
eg {2,5,7,11,13,17,19,23,29,31,37 ...}

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y > 3x + 10

y is less than negative 3 over 4 times x minus 1

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically

Answers

9514 1404 393

Answer:

  A) The graph is the quadrant of the coordinate plane that lies between the two lines and to the left of the point (-2 14/15, 1 1/5)

  B) no; it does not satisfy either inequality

Step-by-step explanation:

A) The boundary line defined by the first inequality is a dashed line with a slope of 3 and a y-intercept of 10. Shading is above the line (and to its left).

The boundary line defined by the second inequality is a dashed line with a slope of -3/4 and a y-intercept of -1. Shading is below the line (and to its left).

The two lines cross at the 2nd-quadrant point (-2 14/15, 1 1/5). The solution area is the area between the crossing lines and to the left of that point. Neither that point nor any point on either line is part of the solution area.

The solution area is the doubly-shaded area in the attached graph.

__

B) The first-quadrant point (8, 10) is not in the solution area, since the solution area is comprised of parts of quadrants 2 and 3 only.

We can see that (8, 10) will not satisfy either inequality:

  10 > 3(8) +10 . . . . not true

  10 < -3/4(8) -1 . . . . not true

find the area pls i need it

Answers

Answer:

521 mm²

Step-by-step explanation:

Hi there !

A = Asemicircle + Atrapeze

Asemicercle formula

r = d/2 = 20mm/2 = 10mm

Asc = π·r²/2

= 3.14·(10mm)²/2

= 3.14×100mm²/2

= 157 mm²

Atrapeze formula

At = (b + B)×h/2

= (20mm + 32mm)×14mm/2

= 52mm×7mm

= 364 mm²

A = Asc + At

= 157mm² + 364mm²

= 521 mm²

Good luck !

Complete the reasons for the proof.
Given:
m<3 = m<4
To Prove:
<1, <2 are supplementary

Answers

2. 2 sides in a line

3. linear (or) supplementary

5. Vertically, equal

6.Substitution

7. alternate exterior angles

Answer:

see below

Step-by-step explanation:

1.  given

2.  adjacent sides in straight line

3.  definition of supplementary adjacent angles

4.  substitution

5.  opposite angles are equal

6.  substitution

7.  definition of alternate exterior angles

B) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

C) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.


D) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

E) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

Answers

[B] Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has vertical line symmetry, but does not have horizontal line symmetry.

Explanation: Base on the given you can see that the letter 'A' is vertical cut into equally but not horizontal

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

C) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has horizontal line symmetry, but does not have vertical line symmetry.

Explanation: Base on the given you can see that the letter 'D' is horizontal cut into equally but not vertical

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

D) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has BOTH horizontal and vertical line symmetry.

Explanation: Base on the given you can see that the letter 'H' is equally cut in vertical and horizontal line symmetry.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

E) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has NEITHER horizontal or vertical line symmetry.

Explanation: Base on the given you can see that the letter 'J' is not equally cut in vertical neither horizontal.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with Lenvy~

36.012 divided by 3

Answers

12.004
i just did it

PLEASE PLEASE HELP !

Answers

Answer: if you multiple 4.25 and 2 and that will be the answer you welcome

3. Each fime the team loses, they lose
7 points in the standings. Use the
expression below to show the total
number of points lost from their 5 losses.
581-7

Answers

Answer:

the expression you showed wasn't correct but I still something with the expression but I don't think is the correct answer

Step-by-step explanation:

=> {581}-{7}

=> {574}

=> 574

NEED LINEAR ALGEBRA ANSWER ASAP
B IS INCORRECT

Answers

Answer:

Choice D

Step-by-step explanation:

Multiply the scalar into the matrix

3*2

3*-1

The first matrix becomes

6

-3

6     -    0

-3         =1.5

We are subtracting a negative so it is like adding

6     +   0

-3     +   1.5

6

-1.5

Choice D

Answer:

4th option

Step-by-step explanation:

3 [tex]\left[\begin{array}{ccc}2\\-1\\\end{array}\right][/tex]  - [tex]\left[\begin{array}{ccc}0\\-1.5\\\end{array}\right][/tex] ← multiply the components of the first matrix by 3

= [tex]\left[\begin{array}{ccc}6\\-3\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}0\\-1.5\\\end{array}\right][/tex] ← subtract corresponding components

= [tex]\left[\begin{array}{ccc}6-0\\-3-(-1.5)\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}6\\-3+1.5\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}6\\-1.5\\\end{array}\right][/tex]

You were 20 inches tall at birth, and 65 inches tall on your 10th birthday. Create a linear equation to
represent this situation. According to your equation, how tall will you be at age 20?

Answers

linear equation: y= 3.5x + 20

height at 20: 90in


Explanation-

linear equation:

x represents the number of years
y represents the height in inches

we’ll have the points
(0,20) height at birth
(8, 48) height at 8th birthday

to find slope you would do

m= (48-20)/(8-0)
= 3.5 inches/year

b would be 20

so y= mx + b would give you

y=3.5x + 20

if you add 20 into that equation you’d get

y= 3.5(20) + 20 = 90inch

y=90
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