Which statement about the linear factors and zeros of a quadratic function is always true? The constants of the linear factors are the opposite of the function's zeros. A function's zeros can be determined by setting each linear factor equal to 0 and solving. If a function's zero is an integer, then the coefficient of the variable in the linear factor must be one. Multiplying the constants of the linear factors gives one of the function's zeros, and adding the constants gives the other zero.

Answers

Answer 1

Answer:

A function's zeros can be determined by setting each linear factor equal to 0 and solving.

Step-by-step explanation:

This is because in finding the zero's of a quadratic function, we factorize the quadratic function to obtain its linear factors. Then, each linear factor is then equated to zero to solve for the zeros of the quadratic function.

The solution of the equating to zero of the linear factors give the zeros of the quadratic function.


Related Questions

What is the slope of this graph?
7/8
-7/8
-8/7
7/8

Answers

Answer: -7/8

Step-by-step explanation:

counting down would be a negative (-7)

counting right would be positive (8)

Somebody has P paintings in his art collection he and other local pain in collectors agreed to donate a total of 48 paintings to the local museum each of the 12 collectors will donate the same number of paintings how many paying's will that person have in his artwork collection after his donation write your answer is an expression expression

Answers

Answer:

The person will have P-4 paintings left      

Step-by-step explanation:

We are told that the total number of painters who entered into the painting donation agreement to the local museum is 12 painters

and they all agreed to donate 48 paintings equally

so each painter will donate

48/12= 4paintings

Since this person already had P paintings in his art collection

his painting will reduce by the 4 paintings he denoted to the local museum\

hence he will have

P-4 paintings remaining

How many solutions does the equation 4x + 2(x - 5) = 3(2x - 4) have?
А.
no solution
B. exactly one solution
C. at least two solutions
D. infinitely many solutions

Answers

Answer:

C

Step-by-step explanation:

remove () and calculate the product

8x*(x-5)=3(2x-4)

distribute 8x through the ()

8x^2-40x=6x-12

move the expression to the left-hand side and change its sign

8x^2-40x-6x+12=0

collect like terms

8x^2-46x+12=0

determine the number of solutions using the discriminant D=b^2-4 a c

D=(-46)^2-4*8*12

simply the expression

D=1732

Since D>0, the quadratic equations has 2 real solutions

PLEASE HELP!!! find the remainder when x^4-2x^3+x^2-5x+3 is divided by x+1

a. -2

b. 8

c. 3

d. 12​

Answers

Answer:

12

Step-by-step explanation:

answer choices:
(16,8)
(2,8)
(-6,8)
(-8,8)

Answers

The correct answer is (2,8)

PLEASE ANSWER THIS ASAP !!!

Answers

No.

In the relation , y is not a function of x, because for the second input of x, there is two outputs of y. Each x-value can only have one corresponding y-value

Select the three expressions that are equivalent to 13+13+13+13+13+13+13.

Answers

Answer:

13 to the seventh power is one

Step-by-step explanation:

13⁷

13*7

13+13+13+13+13+26

What is an equation of the line that passes through the point (5, 4) and is parallel to
the line 6x – 5y = 15?

Answers

Answer:

6x - 5y does not change as it is parallel so I put x = 5 & y = 4 in this equation and the result is 6 × 5 - 5 × 4 = 30 - 20 = 10 so the parallel equation is 6x - 5y = 10

|k+8|=-10 must show work

Answers

Answer:

The answer is no solution.

Step-by-step explanation:

find the value of x- I WILL GIVE BRAINLIEST!

show work

Answers

Answer:

10°

Step-by-step explanation:

It's a right angle so

90° - 52° = 38°

38 - 8 = 30

30 ÷ 3 = 10

check the work

3 × 10 = 30

30 + 8 = 38

38 + 52 = 90

f(x) = x2+9
g(x) = X-9
Find f(x)*g(x).

Answers

Answer:

f(x)g(x) = x³ - 9x² + 9x - 81

General Formulas and Concepts:

Distributions - Expanding with FOIL (First, Outside, Inside, Last)

Step-by-step explanation:

Step 1: Define

f(x) = x² + 9

g(x) = x - 9

Find f(x) · g(x)

Step 2: Find

Set up expression:                    f(x)g(x) = (x² + 9)(x - 9)Expand (FOIL):                           f(x)g(x) = x³ - 9x² + 9x - 81

Chantel counted 48 books on 6 shelves in the library, How many books would she expect to count on 12 shelves.

Answers

Answer: 96 books.

Step-by-step explanation:

48x2

The sides of a square are 3 cm long. One vertex of the
square is at (2.0) on a square coordinate grid marked in
centimeter units. Which of the following points could
also be a vertex of the square?
F. (-4, 0)
G. (0.1)
H. 1.-1)
J. (4. 1)
K. (5.0)

Answers

answer
K. 5.0
explanation
move square 3cm over

A special 20-sided die is constructed so that each face has one of the following numbers on it: 1, 2, 3, or 4. The table below gives the probability of each value (with one value missing).

Answers

Answer: .6

Step-by-step explanation:

when you add up all of the probabilities you want them to equal 1, first you need to find the missing probability (.2) then add the probability of 1 and 3 the odd numbers to get .6

Find the line that is parallel to y=3x-5 and goes through the point (5,1)

Answers

Answer:

y=3x-14

Step-by-step explanation:

if its parallel

they it must be y=3x+b

and plug in x and y

you get the answer

Hope this help ya

<3

Red

Answer:

y = 3x - 14

Step-by-step explanation:

y = mx + b

1 = 3(5) + b

1 = 15 + b

b = -14

y = 3x - 14

the sequence -9,-15,-21,-27 is a Arithmetic sequence or
Geometric sequence

The sequence 48,24,12,6 is a
Arithmetic sequence or
Geometric sequence

Answers

Answer:

1st:Arthmetic Sequence ,2nd:Geometric Sequence

Step-by-step explanation:

-9,-15,-21,-27

+6

48,24,12,6

half of 2 or divided by 2

what is 4.5x 4.5 im in 6th grade

Answers

Answer:20

Step-by-step explanation:

2x^2+6x+3=0
Solve for quadratic formula

Answers

Answer:

x= (-3 +- sqrt3)/2

Step-by-step explanation:

Exact Form:

x=(-3± √ 3)/2

Decimal Form:

x = − 0.63397459 … , − 2.36602540 …

Ojos del Salado is the highest mountain in Chile, with a peak at about 6900 meters above sea level. The Atacama Trench, just off the coast of Peru and Chile, is about 8100 meters below sea level (at its lowest point).

a. What is the difference in elevations between Mount Ojos del Salado and the Atacama Trench?

b. Is the elevation halfway between the peak of Mount Ojos del Salado and the Atacama Trench above sea level or below sea level?

Explain without calculating the exact value. c. What elevation is halfway between the peak of Mount Ojos del Salado and the Atacama Trench?

Answers

A) add the two elevations together:

6900 + 8100 = 15,000 meters.

B) Divide the total distance by 2:

15,000 / 2 = 7,500 meters.

Because the distance to the halfway point is larger than the elevation of Ojos del Salado, the elevation would be below seal level.

C Add the halfway point from part B to the lowest elevation:

-8100 + 7500 = -600 meters

A truck makes a trip of 14 hours, what was the speed if it traveled 2438 km?

Answers

Answer:

174

Step-by-step explanation:

I divided 2438 by 14 and got 174 mph.

Answer:

108.207

Step-by-step explanation:

I divided 2438km and 14hr


-2(9 – 9) + 5 = 5
Send help please!

Answers

Answer:q=9

Step-by-step explanation:

-2(q - 9)+ 5=5

             -5   -5

-2q + 18  = 0

-2q = -18

/-2      /-2

q = 9

             

Find the value of x in each of the following
a) 5x/2+ 1 = 11
b) 2x/7 – 3 = 2​

Answers

Answer:

A) x=4

B) x=35/2

Step-by-step explanation:

calculate the product

A) 5x/2+1=11

multiply both sides of the equation by 2

5x+2=22

move the constant to the right hand side and change its sign

5x+22-2

now subtract the numbers

5x=20

now didvide both sides

5x=20

x=4

B)

calculate the product

2x/7-3=2

multiply both sides of the equation by 7

2x-21=14

move the constant to the right hand side and change its sign

2x=14+21

add the numbers

2x=35

now divide both sides of the equation by 2

x=35/2

Three choices tell you how to locate the point (3, -7.75). Which one does NOT? ECUFATE Starting at the origin, move 3 units to the right and 7.75 units down Starting at the origin, move 7.75 units down and 3 units to the right 20 Starting at the origin, move units up and 7.75 units to the left * Putra finger on 3 on the z-axis and a ſinger just before =8 on the y-axis. Move the first finger down and the second finger to the right until they meet. ​

Answers

To locate the points (3, -7.75) you would start at the origin move three units to the right on the x-axis. After, you move 7.75 units down the y-axis.

Answer:

C . Starting at the origin, move 3 units up and 7.75 units to the left.

Step-by-step explanation:

A reflection of shape I across the y-axis, followed by a (90 counterclockwise rotation 90 clockwise rotation 180 rotation) and then a translation left 6 units and down 4 units confirms congruence between shape I and shape II. Alternatively, a (90 counterclockwise rotation 90 clockwise rotation 180 rotation)
of shape II about the origin, followed by a reflection across the y-axis, and then a translation right 4 units and up 6 units confirms congruence between shape II and shape I.

Answers

Answer:

1 90 clockwise rotation 2 90 counterclockwise rotation

Step-by-step explanation:

Transformation is a method required to resize or change the orientation of a given shape or figure. The required answer is:

i. Statements b and d would map Shape l onto Shape II

​ii. Statements a, c, e, and f does not map Shape l onto Shape II​

What is transformation?

Transformation is a method required to resize or change the orientation of a given shape or figure. The types of transformation are translation, reflection, rotation, and dilation. The translation is a method that requires moving every point in a given shape in the same direction and same unit.

Reflection is a method that involves flipping a given figure about a given reference point or line. Rotation is a method that required turning a given figure at an angle about a reference point. Dilation is a method in which the length of the sides of the figure is either increased or decreased. Thus the answers to the question are listed as follows:

a. a reflection across the y-axis, followed by a 90° clockwise rotation about the origin, and then a translation left 6 units. Does not Map Shape l onto Shape II

b. a 90° clockwise rotation about the origin and then a translation left 6 units Answer: Maps Shape l onto Shape II

​c. a 90° counterclockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation left 6 units.

d. Does not Map Shape l onto Shape II​d. a 90° clockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation right 4 units Answer: Maps Shape l onto Shape II

​e. a 180° rotation about the origin, followed by a reflection across the y-axis, and then a 90° clockwise rotation about the answer of the origin: Does not Map Shape l onto Shape II​

f. a reflection across the y-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation right 4 units. Does not Map Shape l onto Shape II​.

For more clarifications on the reflection of a figure, visit: brainly.com/question/20840412

#SPJ2

the difference of 19 and the sum of 7 and k

Answers

Answer:

19 - (7 + k)

Step-by-step explanation:

Sum of 7 and k: (7 + k)Difference of 19 and (7 + k): 19 - (7 + k)

I hope this helps!

Which of the following expressions simplifies to −abcd, where a, b, c and d are real numbers?

A. (−a)∙b∙(−c)∙d
B. (−a)∙b∙(−c)∙(−d)
C. a∙(−b)∙(−c)∙d
D. (−a)∙(−b)∙(−c)∙(−d)

Answers

Answer:

Step-by-step explanation:

J

Answer:

D

Step-by-step explanation:

just took this test

A and B are supplementary angles. If m A=(x-18)° and mB =(x-20),
find the measure of B

Answers

Answer:

89 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees, so we can add up A and B and make it equal to 180.

(x-18)+(x-20)=180

2x-38=180

2x=218

x=109

then, we plug in 109 for x in the mB equation.

mB=x-20

mB=109-20

mB=89 degrees

therefore, the measure of B is 89 degrees.

Answer:

B = 89

Step-by-step explanation:

Supplementary angles: A + B = 180

Simplify: x-18 +x -20 = 180

2x-38 = 180

2x = 218

x= 109

B = x-20

B = 89

what is the geometric sequence?​

Answers

Answer:

a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio. hope this helped :)

Step-by-step explanation:

what is the difference between 4x and x4? evaluate both of these expressions when x = 2

Answers

Answer:

There is no difference. 4x and x4 are both meaning 4 times x and x times 4

Step-by-step explanation:

If x = 2, then 4 x 2 = 8.

x4 is the same thing

2 x 4 =  8

Note:

When the numbers are there together, without an operation, it means multiplication.

The value of the expression 4x is 8.

The value of the expression [tex]x^4[/tex] is 16.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4x and [tex]x^4[/tex]

For x = 2,

4x = 4 x 2 = 8

[tex]x^4[/tex] = [tex]2^4[/tex] = 2 x 2 x 2 x 2 = 16

Thus,

The values of the expression are 8 and 16.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

What is the answer to this question please answer will make Brainly

Answers

Answer:

BIG Bs

Step-by-step explanation:

Other Questions
CAN SOME1 PLEASE HELP ME!! given the equation y=23x,whats the value of x if y=100 What is the meaning economics Janice is roller skating at a constant speed away from her house. The first half of the street is flat, but the second half has a steep upward hill. Janice moves more slowly as she skates up the hill. Which graph shows Janice's position as she roller skates away from her house? A. ZB. XC. WD. Y how do i do this! pls help ASAP, and pls show work too! The controller of Fortnight Co. has requested a quick estimate of the manufacturing supplies needed for the Cleveland Plant for the month of July, when production is expected to be 470,000 units to meet the ending inventory requirements and sales of 475,000 units. Fortnight Co.'s budget analyst has the following actual data for the last three months. Month Production in Units Manufacturing Supplies March 450,000 $723,060 April 540,000 853,560 May 480,000 766,560Using the high-low method to develop a cost estimating equation, the estimate of needed manufacturing supplies for July would be: (CMA adapted) Read the following sentence and answer the question.The hunter shot the arrow, it killed a deer.Which of the following best explains why the comma is incorrectly used in the sentence above?A comma cannot be used to join two dependent clauses.No explanation is needed; the comma is used correctly.A comma cannot join two independent clauses unless it is followed by a coordinating conjunction.A period is the only correct punctuation to use after the word "arrow." Unit Test / 16 of 251 PauseJosh practices free throws during basketball practice on Monday and Tuesday, On Monday, he attempts 15 free throws and 6 basketballswent in the basket. Over both days, Josh wants at least 80% of his balls to go in the basket. If he makes every free throw on Tuesday,what is the minimum number of free throws required on Tuesday to reach his goal? Free Response - calculator may be used. Please help 50 points and brainliest (2x + 25) y(3x - 10)solve to get the answers of the variables Which is greater? x + 3 - x -(1+ 2x + 2)x - 1 - x + 2 -(2 + x - 1) 1/2 divided by 6/8= what do you think the answer is como se desarrolla la identidad de una persona a lonlargo del tiempo? (1 parrafo) I'm stuck brainliest to the first CORRECT ANSWER Which of these expressions is the simplified form of the expression (StartFraction sine (x) Over 1 minus cosine squared (x) EndFraction) tangent (StartFraction x Over 2 EndFraction) ? 4) Divide(2x2 5x + 7) = (x - 3)Please help me as much as you can. Based on the entire passage, what is the meaning of the word "momentous" in line 18? * What are the 4 terms for f(x)=7-2x A cylinder has a volume of 1884cm^3. Find the volume of a cone with the same radius and height as the cylinder 1. Which of the following sentences is combined correctly? *O John opened the drawer it was empty.O John opened; the drawer it was empty.John opened the drawer; it was empty.John opened the drawer, it was empty.