Which of the following must be a factor of the function

Which Of The Following Must Be A Factor Of The Function

Answers

Answer 1

Answer:

  (A)  (x -2)

Step-by-step explanation:

You want to know a factor of the function whose values given in the table include (x, y) = (2, 0).

Polynomial zeros

A polynomial function y = p(x) will have a factor of (x-a) if and only if p(a) = 0.

The table shows y=0 for x=2, so this polynomial function will have a factor of (x -2).

__

Additional comment

The function shown in the table is ...

  y = (x -2)²

so it actually has two factors that are (x -2).

You can tell this is a polynomial function of degree 2 because the 2nd differences are constant.

First differences between successive y-values: -7, -5, -3, -1, 1, 3

Second differences between successive first differences: 2, 2, 2, 2, 2.


Related Questions


Bre'Aujanaye operates a flower shop in Paris. All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and
special events. Why type of organization does Bre'Aujanaye have?

Answers

The type of market in which  all employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events is Oligopoly.

What is Oligopoly?

An oligopoly is a market characterized by a small number of firms who realize they are interdependent in their pricing and output policies. The number of firms is small enough to give each firm some market power.

Given situation:

All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events.

As, A market structure known as an oligopoly occurs when a few large sellers or manufacturers control a sizable portion of a market or an entire sector.

Oligopolies are frequently the outcome of corporate collaboration as a way to increase profits.

Some examples of oligopolies include the car industry, petrol retail, pharmaceutical industry, coffee shop retail, and airlines.

So, as discussed in the given case employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events to make some profit.

Hence, The type of market is Oligopoly.

Learn more about Oligopoly here:

https://brainly.com/question/14093864

#SPJ1

On his first three tests, Devon scored 95, 77, and 96. What score must he get on his fourth test to have an average (mean) of 80 for all four tests?

Answers

Answer:

53

Step-by-step explanation:

Add all of number you have right now then pick a number and add it then divide it by 4 and keep going until reach 80

Find f(12) for the given piecewise function:
-18x+20, x < 19
f(x).
-16x²,
x ≥ 19
0-6478
0-5776
O-2304
0-196

Answers

Step-by-step explanation:

since 12 < 19, we have to use the first function definition :

f(12) = -18×12 + 20 = -216 + 20 = -196

Please help me answer this question, I’ve tried a billion things and I keep getting it wrong

Answers

Please help with your order with no assistance with your order with order order


Cory graphed y = 100 - 50x x to represent the percentage of battery life
remaining on his phone after x hours.
What is a reasonable domain for this situation?
Percentage of battery life remaining
A. 0≤x≤ 100
Remaining Battery Life
100
Time (hours)
hr

Answers

The reasonable domain of the given situation is 0≤ x ≤2 that is 0 to 2 hours.

We see that x is represented as the number of phone hours used, therefore it has to be a number larger or equal to zero, but not a negative number. So, on one end we have that the number of phone hours used (x) must be larger or equal to zero. On the other hand, when the battery goes to zero, there are no more phone hours to use. We can find what is that other limit by making the battery percent (y variable) equal to zero, and solve the equation for x, thus giving us the upper limit of usable phone hours:

=> y = 0 = 100 - 50x

=> 100 = 50x

=> x = 100/50

=> x = 2

Therefore, the phone can be used for a maximum of 2 hours and the situation may be written as 0≤ x ≤2.

Learn more about Domain at:

brainly.com/question/13341970

#SPJ9


Name a point that is collinear with points E and H.

Answers

Answer:

Point J

Step-by-step explanation:

Collinear means in a line

Point J is on the same line with E and H

Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.
(x,y) =(3, 10) and (x,y) = (9, -2) are points on a line

Answers

Answer:

Step-by-step explanation:

Step 1: We must locate the slope, by using the slope formula, which is:

[tex]\frac{y2-y1}{x2-x1}[/tex]

When we plug it in we get:

[tex]\frac{-2-10}{9-3}[/tex]

Which simplifies to a -2

Step 2: We must plug in our values in the point-slope formula which is:

[tex]y-y1=m(x-x1)[/tex]

We can plug in (3,10) or (9,-2). It doesn't matter which one, we'll end up with the same answer. For this example, we'll use (3,10)

When we plug in our values we will get:

[tex]y-10=-2(x-3)[/tex]

Step 3: Now we just need to put our equation in slope-intercept form

[tex]y-10=-2(x-3)[/tex]

[tex]y-10=-2x+6\\y=-2x+16[/tex]

Therefore, our answer is [tex]y=-2x+16[/tex]

Hope this helps!!!

Marvin Co. sells pens ($6) and flashlights ($10). If total sales were $624 and customers bought 7 times as many pens as flashlights, what would be the number of pens sold?​

Answers

Marvin Co. sells a total of 12 flashlights and 84 pens

Price of pen sold by Marvin Co. = $6

Price of flashlight sold by Marvin Co. = $10

Total sales = $624

Let the number of flashlights be x and the number of pens be y

Formulating the equations:

10x + 6y = 624

It is given that customer bought 7 times as many pens as flashlights, therefore:

y = 7x

Putting y = 7x in the equation we get,

10x + 6(7x) = 624

10x + 42x = 624

52x = 624

x = 12

So, the number of flashlights sold is 12 and the number of pens sold is 84

Learn more about linear equations:

https://brainly.com/question/11897796

#SPJ1



Write as a
14/11
as a decimal.

0 0.36
0.36
0.036
O 0.36

Answers

Answer:

Step-by-step explanation:

divide 14 by 11

which is 0.36

What is the lowest form of this fraction 48/100

Answers

Answer:

12/25

Step-by-step explanation:

you have to start by reducing it by the lowest divisible numbers gradually till you get a fraction that cannot be divisible again.

start with two

48/100 = 24/50 = 12/ 25

12/25 cant be divided by any other number ahain therefore that's your final answer.

please if found helpful rate brainliest.

Answer this question please

Answers

Answer:

Option 3

Step-by-step explanation:

[tex]|6t-7|-8 \geq 3 \\ \\ |6t-7| \geq 11 \\ \\ 6t-7 \leq -11, 6t-7 \geq 11 \\ \\ 6t \leq -4, 6t \geq 18 \\ \\ t \leq -2/3, t \geq 3[/tex]

A student showed their work when dividing fractions. Explain their errors and find the correct solution!
6 \ 3/4=6/1x3/4
=18/4
4 2/4 or 4 1/2

Answers

The correct solution of division fractions is 18/4.

What is division?

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. The primary objective of division is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.

When describing how much of anything is left over, a fraction is used. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator

Given that,

The division fraction is 6× 3/4

So, the fraction is 6/1×3/4

Therefore, the division fraction is  4×2/4 or 18/4

To know more about division visit:

https://brainly.com/question/21416852

#SPJ9

What is this number sequence called?
7, 22, 11, 34, 17, 52, 26, 13 and so on.

Answers

The numbers 7, 22, 11, 34, 17, 52, 26, 13 and so on represent hailstone sequence.

What is a hailstone sequence?

These patterns are referred to as hailstone sequences because the values frequently rise and fall, resembling a hailstone inside a cloud.

It should be noted that such numbers can either rise or fall.

Therefore, the numbers 7, 22, 11, 34, 17, 52, 26, 13 and so ob represent hailstone sequence.

Learn more about sequence on;

https://brainly.com/question/6561461

#SPJ1

A 500 kg car heads through a loop with a 20 m radius. At the top of the loop, the car is moving at 14 m/s. If air resistance is negligible, what would the car's velocity be at the bottom of the loop?

Answers

The speed of the car at the bottom of the loop is approximately 31.3 m/s

How can the velocity at the bottom of the loop be calculated?

The given parameters are;

Mass of the car = 500 kg

Radius of the loop = 20 meters

Velocity of the car at the top of the loop = 14 m/s

The kinetic energy at the top of the loop is therefore;

K E. = 0.5×500×14² = 49,000

The potential energy gained = 500×9.81×40 = 196200

Total energy = 49,000 + 196,200 = 245,200

The velocity at the bottom is therefore;

0.5×500×v² = 245,200

v² = 245,200 ÷ (0.5×500) = 980.8

v = √(980.8) ≈ 31.3

The velocity at the bottom of the loop is therefore;

v ≈ 31.3 m/s

Learn more about the conservation of energy principle here:

https://brainly.com/question/15606227

#SPJ1

Which type of statement and connective are associated with p V q?
a) Conditional; if ... then
B)Negation; not
c) Disjunction; or
d) Conjunction; and

Answers

Answer:

what will happen if we bought corrupt people

Solve m–2(m–4)≤3m for m. m≤2 m≥2 m≤−2 m≥−2

Answers

Answer:

it equals 4

Step-by-step explanation:

If 2 < a < 5 and 1 < b < 2 find all possible expressions a+b,ab,a-b,and a/b

Answers

The range of values for the expressions are given by these following compound inequalities:

3 < a + b < 7.2 < ab < 10.0 < a - b < 4.1 < a/b < 5.

What is a compound inequality?

A compound inequality is a combination of multiple inequalities, at least two, involving operations such as and and or, explained below.

The and operation between multiple sets is composed by the elements that belong to all the sets.The or operation between multiple sets is composed by the elements that belong to at least one of the sets.

Hence one example of a compound inequality is:

a ≤ x ≤ b.

Which is read as follows:

x is greater or equal than a and less or equal than b.

What is the range of the addition?

The smallest possible value is when both a and b are at their lower bounds, hence:

a + b = 2 + 1 = 3.

The greatest possible value is when both a and b are at their upper bounds, hence:

5 + 2 = 7.

Then the range is:

3 < a + b < 7.

Since the ranges of a and b are open intervals, the ranges of the operations will also be composed by open intervals.

What is the range of the multiplication?

The smallest possible value is when both a and b are at their lower bounds, hence:

a x b = 2 x 1 = 2.

The greatest possible value is when both a and b are at their upper bounds, hence:

a x b = 5 x 2 = 10

Then the range is:

2 < ab < 10.

What is the range of the subtraction?

The smallest possible value is when a is at it's lower bound and b is at it's upper bound, hence:

2 - 2 = 0

The greatest possible value is when a is at it's upper bound and b is at it's lower bound, hence:

5 - 1 = 4.

Hence the range is:

0 < a - b < 4.

What is the range of the division?

The smallest possible value is when a is at it's lower bound and b is at it's upper bound, hence:

2/2 = 1.

The greatest possible value is when a is at it's upper bound and b is at it's lower bound, hence:

5/1 = 5.

Hence the range is:

1 < a/b < 5.

More can be learned about compound inequalities at https://brainly.com/question/24761100

#SPJ1

What is the difference between -5 and 3 on a number line

Answers

Answer:

8

Step-by-step explanation:

-5 is 5 units left of zero.

3 is 3 units right of zero.

The difference is 8.

Solve for x
(X+6)^2 = 8x+36

Answers

Answer:

x=0,x=-4

Step-by-step explanation:

(x+6)(x+6) =8x+36

x^2+12X+36-8X-36=0

X^2+4X=0

x(X+4)=0

You will get x=0 ,x=-4

Answer: x1=-4,x2=0

Step-by-step explanation:

x+6^2=8x+36

Expand the expression

x^2+12x+36=8x+36

Cancel equal terms

x^2+12x=8x

Move the variable to the left

x^2+12x-8x=0

Collect like terms

x^2+4x=0

Factor the expression

x x (x+4) = 0

Separate into possible cases

x=0

x+4=0

Solve the equation

x=0

x=-4

The equation has 2 solutions

x1=-4,x2=0

Find the length of FH

Answers

Answer is FH = 4 1/2

Step by step

H = 3 1/2
F = - 1

Subtract point F from point H

3 1/2 - (-1) = 4 1/2
Problem solved

Determine the total number of roots of each polynomial function.
g(x) = (x - 5)2 + 2x3

Answers

f (x) =3×6 + 2×5 + ×4-2x3
6
g(x) = 5x-12×2 + 3
2
f (x) = (3x4 + 1)2
8
g(x) = (x-5)2 + 2×3
3

a. What is m TVZ? Show your work.
3x
120°
T
R
v (2x+15)
(2x + 5)°

Answers

Answer:

  95°

Step-by-step explanation:

You want the measure of angle TVZ, when adjacent angle (2x+5)° and its supplement (2x+15)° are given. The larger of these is a vertical angle with respect to TVZ.

Linear pair

The angles marked (2x+15)° and (2x+5)° are a linear pair, hence supplementary.

  ((2x+15)° +(2x+5)° = 180°

  4x +20 = 180 . . . . simplify

  x +5 = 45 . . . . . . . divide by 4

  x = 40 . . . . . subtract 5

Angle TVZ is a vertical angle with respect to the one marked (2x+15)°, so has the same measure:

  ∠TVZ = (2(40)+15)°

  ∠TVZ = 95°

__

Alternate solution

The two angles RVW (2x+15)° and ZVW (2x+5)° obviously differ by 10°. They are a linear pair, so their sum is 180°. Finding these angles is then a "sum and difference" problem. The larger of the solutions is the one we want, as (2x+15)° is a vertical angle to TVZ. We know the larger of the solutions to the sum and difference problem will be (180° +10°)/2 = 95°, the measure of TVZ.

More about sum and difference problems:

When a+b = s, and a-b = d, the larger value (a) can be found by adding these equations: (a+b) +(a-b) = s+d, or 2a = s+d, or a = (s+d)/2. This is the expression we used above to find the larger of the two angles. (You notice it is not necessary to solve for x.)

f(x)=8x+2, evaluate f(6)

Answers

Answer:

50

Step-by-step explanation:

The answer is 50 because f(6) basically means to substitute 6 for x.

8(6)+2

48+2

50

So the evaluation of f(6) is 50

Determine the slope & y-intercept

5y-7x=9

Answers

Slope is 7/5
Y can not be determined
Slope is 715
Y can not be determined

10=7-m
Do I minus by 10 on each side or do I add minus by 7?

Answers

Answer:

[tex] \sf \large{m=−3}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

10=7−m

Step 1: Simplify both sides of the equation.

10=7−m

10=7+−m

10=−m+7

Step 2: Flip the equation.

−m+7=10

Step 3: Subtract 7 from both sides.

−m+7−7=10−7

−m=3

Step 4: Divide both sides by -1.

−m/−1= 3/−1

m=−3

The product of 4 and the sum of a number and is equal to the difference of twice the number and . Find the number.

Answers

The number is -4

[tex]x \times[/tex]4+4= 2[tex]x[/tex]-4

[tex]$$x \times 4+4=2 x-4$$[/tex]

Subtract 4 from both sides[tex]$x \times 4+4-4=2 x-4-4$[/tex]

Simplify

[tex]$$x \times 4=2 x-8$$[/tex]

Subtract [tex]$2 x$[/tex] from both sides [tex]$x \times 4-2 x=2 x-8-2 x$[/tex]

Simplify

[tex]$$2 x=-8$$[/tex]

Divide both sides by 2

[tex]\frac{2 x}{2}=\frac{-8}{2}$$[/tex]

Simplify

[tex]$$x=-4$$[/tex]

A strategy for teaching division is by repeated subtraction. It involves repeatedly subtracting the same integer from a big number until the result is zero. It is a fantastic approach to teach kids about division. A technique called repeated subtraction, commonly referred to as division, removes an equal amount of items from a group.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

To learn more about division visit:https://brainly.com/question/21416852

#SPJ1

The difference between 4 and the sum of a number and is equal to twice that number. The number is -4.

Given that,

The difference between 4 and the sum of a number and is equal to twice that number.

Repeated subtraction is a method for teaching division. Until the result is zero, the same integer must be repeatedly subtracted from a large number. Repeated subtraction, sometimes known as division, is a method that takes an equal number of elements out of a group.

Division's opposite is multiplication. If 3 groups of 4 total up to 12, then 4 are in each group when 12 is divided into 3 equal groups. The fundamental goal of division is to produce equal groups or to determine how many individuals are in each group following a fair distribution.

x×4+4=2x-4

Subtracting 4 on both sides

4x+4-4=2x-4-4

4x=2x-8

Now, substracting 2x from both sides

4x-2x=2x-8-2x

2x=-8

x=-4

Therefore, The number is -4.

To learn more about number visit: https://brainly.com/question/17429689

#SPJ1

3. Mai realizes that each day her checking account is below zero, she is charged a
late fee of $5.75 per day. She realizes that she will not be paid until 10 days from
now. What will the balance of the account equal on the 10th day? Show your work.

Answers

the balance in the account at the 10th day will be equal to - $ 57.5.

Late fee for 1 day = $ 5.75

Number of days = 10

We will calculate the late fees for 10 days by using the operation of multiplication.

So, late fee will be:

Late fees = 10 × $ 5.75

Late fees = $ 57.5

Balance in the account at the 10th day = 0 - Late fees

Balance in the account at the 10th day = 0 - $ 57.5

Balance in the account at the 10th day = - $ 57.5

Therefore, the balance in the account at the 10th day will be equal to - $ 57.5.

Learn more about multiplication here:

https://brainly.com/question/10873737

#SPJ9

write an equivalent expression

Answers

Answer:

[tex]3^{-9}[/tex]or [tex]\frac{1}{3^{9} }[/tex]

Step-by-step explanation:

3^3/3^12 = 3^3 * 3^(-12) = 3 ^(3-12) = 3^(-9) or 1/3^9

What is the slope of the line passing through the points (-3, 4) and (2, - 1)?

Answers

Answer:

-1

Step-by-step explanation:

[tex]m= \frac{y2 - y1}{x2 - x1} [/tex]

put the values you will get your answer.

What is the product of additive inverse of -1/3 and multiplicative inverse of 5/3​

Answers

Answer: 1/3 and 3/5

Step-by-step explanation:

Other Questions
invertebrates and fish that eat dead organic matter will be most abundant in the of freshwater lakes. Why is Huck's father so upset that he has "become civilized"learned to read, write, and dress nicely Determine the period. SA3)Which expression is equivalent to (5-2)5 x 5 ?A512B 57C15.40 What is one major problem that has resulted from globalization in the 20thand 21st centuries?A. Global population growth has slowed to its lowest recorded levels.B. Diseases are able to spread around the world more quickly.C. Countries have less power to economically influence one another.D. New cultural traditions and languages are constantly beingcreated.SUBMIT I need help with number 3 ( Rule) Which pair of triangles can be proven congruent by the HL theorem?2 right triangles have congruent hypotenuses. 2 triangles have one congruent angle and 2 congruent sides.2 right triangles have congruent hypotenuses and another congruent side.2 triangles have 3 congruent sides. contrast the effects of the water cycle on a tropical region and on a desert region. use complete sentences. What is the slope of the tangent line for the function f(x)=2x^2-5x+1 at the point (1,-2)A. -1B.-9C. 1D. 0E.9 What is the y-coordinate of the y-intercept of the parabola y=x^2+1 A man if five times as old as his son. The sum of squares of their ages is 2106. How old is the son? Find a direct relationship between y and x. x = t+1 y = t^2 - 2t Which of the following is the graph of y = |x-3l? read the beginning of trevors narrative.thinking back on that afternoon, i knew then that my best friend was keeping something from me. if i thought about iti mean, really thought about itthere had been other signs. they may have been subtle, but they had been there, nonetheless.trevor decides not to tell his story in chronological order. what is the most likely reason trevor chose to begin his story in this way? which behaviors would the nurse expect the client to do during the working phase of a therapeutic relationship consumers now have easy access to internet shopping because of smartphones. technology has caused demand to become more for goods you can purchase at stores like barnes and noble and best buy. this is because the cost of getting price information from other retailers is now . to stay competitive, best buy uses a strategy called where they offer to sell items at competitor prices. Answer each question yes or no. (a) Is it possible for each of three stationary charged particles to exert a force of attraction on the other two? (b) Is it possible for each of three stationary charged particles to repel both of the other particles? (c) Is it possible for each of three current-carrying metal wires to attract the other two wires? (d) Is it possible for each of three current-carrying metal wires to repel the other two wires? Andr-Marie Ampre's experiments on electromagnetism are models of logical precision and included observation of the phenomena referred to in this question. HELP ME!! Write a reflection on career and income www 15. Using the idea of particles explain why: a. The smell of burnt food travels through the houses? b. When two solids are placed on top of each other, they do not mix? c. Pumping up your bike tyres gives a smooth ride? d. Smokers can cause lung damage in other people? e. Heating gas in a closed container will increase its pressure? f. Poisonous gasses from a factory chimney can affect a large area?explain it ? A foam dart is fired a height of 1.69 m. How many seconds does it take to hit the ground