If (x + 4) is a factor of f(x), which of the following must be true?

Group of answer choices

f(-4) = 0

Neither x = -4 nor x = 4 are roots of f(x).

Both x = -4 and x = 4 are roots of f(x).

f(4) = 0

Answers

Answer 1
f(-4) = 0

Here, we replace x with -4. In doing so, we see that (-4+4) is indeed 0, making this the correct answer.

The next two choices are incorrect since only -4 is a root of f(x), as explained above (a root occurs when the function equals zero when plugging in that “root”).

The last answer is incorrect since plugging in 4 will get f(4)=8.

Related Questions

Juwan went on a bike ride of 36 miles. He realized that if he had gone 15 mph faster, he would have arrived
10 hours sooner. How fast did he actually ride?

Answers

Step-by-step explanation:

Distance = (Rate)(Time) So, Time = (Distance)/(Rate)

Time at slower speed = Time at faster speed + 3

36/x = 36/(x+6) + 3

Multiply the equation by the LCD, x(x+6) to obtain:

36(x+6) = 36x + 3x(x+6)

36x + 216 = 36x + 3x2 + 18x

3x2 + 18x - 216 = 0

x2 + 6x - 72 = 0

(x + 12)(x - 6) = 0

x = -12 or x = 6

Since x can't be negative, x = 6 mph

BEST ANSWER GETS BRAINLIEST!!!!

A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

Answer:

3x + 8y = 31

5x + 2y = 12

Let's solve your system by elimination.

Multiply the second equation by -4, then add the equations together.

(3x + 8y = 31)

−4 (5x + 2y = 12)

Becomes:

3x + 8y = 31

−20x − 8y = −48

Add these equations to eliminate y:

−17x = −17

Then solve −17x = −17 for x:

−17x = −17

−17x −17 = −17 − 17 (Divide both sides by -17)

x = 1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x + 8y = 31

Substitute 1 for x in 3x + 8y = 31:

(3)(1) + 8y = 31

8y +3 = 31 (Simplify both sides of the equation)

8y + 3 − 3 = 31 − 3 (Add -3 to both sides)

8y = 28

8y8 = 288 (Divide both sides by 8)

y = 7/2

which function is equivalent to f(n)=(n+2)^2+n^2-4

Answers

f = (n+2)^4 / n
i hope this helps .

In the diagram, <4 and <5 are what type of angles?

A. corresponding angles
B. Alternate interior angles
C. Alternate exterior angles
D. Consecutive interior angles

Answers

Answer:

B. Alternate interior angles

Step-by-step explanation:

Write 12.325 as a mixed number. quick I need help

Answers

Answer:

493/40

i tried my best on it

Answer:

493 /40

Step-by-step explanation:

(12.325 × 100) /  (1 × 1000)  =  

=12325/ 1000

Amazon Inc. has been sued for following three alleged infringements of law: (1) Unauthorized use of a trademark; the claim is for $100 million (2) Nonpayment of end-of-service severance pay and gratuity to 5,000 employees who were terminated without Amazon Inc. giving any reason; the class action lawsuit is claiming $3 million (3) Unlawful environmental damage for dumping waste in the river near its factory; environmentalists are claiming unspecified damages as cleanup costs (4) Legal counsel is of the opinion that not all the legal cases are tenable in law and has communicated to Amazon Inc. this assessment of the three lawsuits: (5) Lawsuit 1: The chances of this lawsuit are remote. (6) Lawsuit 2: It is probable that Amazon Inc. would have to pay the displaced employees, but the best estimate of the amount that would be payable if the plaintiff succeeds against the entity is $2 million. (7) Lawsuit 3: There is no current law that would compel the entity to pay for such damages. There may be a case for constructive obligation, but the amount of damages cannot be estimated with any reliability. Required: What should be the provision that Amazon Inc. should recognize or the contingent liability that it should disclose in each of the lawsuits, based on the assessments of its legal counsel?

Answers

The International Financial Reporting Standards developed standards can

be implemented to ascertain the provisions and disclosures to be made.

The correct responses are;

According to the financial reporting standard, the contingent liability that

Amazon Inc. should disclose and the provision that Amazon Inc. should

recognize, based on the legal consent are;

Lawsuit 1: It is not required to make provision or disclosure because the

probability of the lawsuit progressing is remote and therefore, the

Company will not be required to payout money or lose economic benefits.

Lawsuit 2: The likelihood of the Company having pay the displaced

employees is high however, the amount payable is $2 million, and

therefore, a provision of $2 million is required in the financial reporting.

Lawsuit 3: The Company is not legally obliged to pay for or perform the

cleanup, but based on the relationship between the Company's waste

location, the river, and the community, there is a constructive obligation,

the amount of which cannot be determined with reliability.

Therefore, there is a requirement for disclosure as a contingent liability,

and not a provision as the claim cannot be classified as a provision.

Learn more here:

https://brainly.com/question/17371330

The graph of f(x) = x² is transformed to create the graph of g(x) = f(x + 6). Which
statement is true?
A The graph of g(x) reflects the graph of f(x) across the x-axis.
B The graph of g(x) reflects the graph of f(x) across the y-axis.
CThe vertex of the graph of g(x) is 6 units to the left of the vertex of the graph of f(x).
DThe y-intercept of the graph of g(x) is 6 units above the y-intercept of the graph of f(x).

Answers

Answer:

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.

Step-by-step explanation:

A long distance phone company charges a flat rate of $1.01 and then $0.09 for each minute. If
a call cost $9.56, how long did it last?

Answers

Answer:

30

Step-by-step explanation:

Answer:

95 minutes

Step-by-step explanation:

Deduct the flat rate from the total to see how much was spent on minutes

9.56 - 1.01 = 8.55

to get minutes divide that by the cost per minute

8.55/0.09 = 95

95 minutes



2. What is the sum of 5t + 9 - 3t + 4)?

Answers

Step-by-step explanation:

5t + 9 - 3t + 4

2t + 13

hope it's helpful

5t + 9 -3t + 4

Answer: 2t + 13

please answer fully///////////////

Answers

Answer:

14

Step-by-step explanation:

(4+(16-1)/5)*2

(4+15/5)*2

(4+3)*2

7*2

14

Solve the inequality: x + 5 < 7 x < 3 , x > -2. , x > 12. , x < 2

Answers

Answer:

  (d)  x < 2

Step-by-step explanation:

Subtract 5 from both sides of the inequality, the same way you would if it were an equation.

  x +5 < 7 . . . . . . given

  x +5 -5 < 7 -5 . . . . . show subtraction of 5

  x < 2 . . . . . the solution

please help 368.9 − 234.78

Answers

Answer:

134.12

Step-by-step explanation:

Subtraction.

Tell me if you want a step by step.

Hope this helped. :)

Find the equation of the line which passes ​​​​​​through (0,7) at a gradient of 3

Answers

Answer:

y=3x+7

Step-by-step explanation:

y=mx+c

we have (0,7). (x,y)

so y-7/x-0=3

multiply by (x-0) both sides to get

y-7=3x take -7 to the other side of equal sign

it will be: Y=3X+7

PLEASE HURRY WILL GIVE BRANLESIT
Function 1 is represented by the equation y = 6x + 25

Function 2 is represented by the table.

x y
5 31
10 41
15 51
20 61


Which statement about the two functions is true?
The rate of change for Function 2 is 5 times the rate of change for Function 1.

The rate of change for Function 2 is three times the rate of change for Function 1.

The rate of change for Function 2 is one third the rate of change for Function 1.

The rate of change for Function 2 is the same as the rate of change for Function 1.

Answers

Answer:

The rate of change for Function 2 is one third the rate of change for Function 1.

Please mark brainliest if possible :)

Which inequality represents this sentence?
A number is no less than 48.
n < 48
n > 48
n < 48
n>48

Answers

The inequality that can be used to represent the information that a number is no less than 48 will be n > 48.

Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.

It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.

Read related link on:

https://brainly.com/question/25701252

Answer: The correct answer is n≥48

Step-by-step explanation: Give me the brainiest

Help me out cause this very difficult for me

Answers

9514 1404 393

Answer:

  a) 37

  b) n+d

Step-by-step explanation:

This is a reading comprehension problem. You are asked to understand what you are reading, and to think about what question is being asked.

Given:

  a) someone bought 20 notebook computers and 17 desktop computers

  b) someone bought n notebook computers and d desktop computers

Find:

  a) the total number of computers bought

  b) the total number of computers bought

Solution:

a) The total number bought is found by adding together the numbers of each kind:

  20 +17 = 37 . . . total computers

__

b) The total number bought is found by adding together the numbers of each kind:

  n + d . . . total computers

pls find prism if you find it your littearly a pro hacker ​

Answers

Answer:

24 cubic units

Step-by-step explanation:

Given, in picture,

It is a rectangular prism.

It's length in units = 4

It's breadth in units = 2

It's height in units = 3

Therefore,

Volume of the given rectangular prism

= length × breadth × height

= 4 units × 2 units × 3 units

= 24 cubic units (Ans)

What is the value of x?

Answers

Answer:

Step-by-step explanation:

45

Answer:

x=44°

Step-by-step explanation:

It's an Isosceles triangle, it has two equal sides (DC=CE) so also its two equal angles of 44 degrees

Hope this helps

Natural numbers are ? Integers

Answers

Answer:

natural numbers are the positive numbers that begins from 1 ...

but integers include natural numbers , it's negative and zero

Evaluate f(x) at x =-3/4

f(x) = 2 - 6x - 4x^2


Answers

Answer:

4.25 is the final answer!!!

A car travels a constant speed of 45 km/h


3.4.1 The distance travelled in 6 hours?

3.4.2 The time it takes to travel 495 km?​

Answers

Answer:

1 hour

Step-by-step explanation:

because i divided

Will the answer to the addition problem below be odd or even?
2156 +992 = ?

Answers

Answer:

Even

Step-by-step explanation:

When two even numbers are added there will be an even result. To check this adding 2156 and 992 gets 3148 which is an even number.

Even l, because 2156+992=3148, and thats even

Would love it if your able to help me :)

Answers

Answer:

x = 2.83163

Step-by-step explanation:

Have a nice day!

and if you have questions on how I found it please ask.

Please help me help please please help me please

Answers

Answer:

y = 3x + 1 is the answer

Hello there! :)

The slope of this line is 3.

There are lots of ways to calculate the slope.

Here's one of them:

Rise/Run

Here, the rise is 3 (we move up 3 units)

And the run is 1 (we move 1 unit to the right)

3/1=3

So the slope is 3.

Now, the y-intercept is where the graph touches the y-axis.

Here, the y-intercept is 1.

So the equation is

y=3x+1

Hope this helps!

~Just a determined gal

#CarryOnLearning

Please mark brainliest!

[tex]MysteriousNature :)[/tex]

What is 9÷8/9 in simplest form?

Answers

Answer:

10 1/8 or 81/8

Step-by-step explanation:

A local high school has both male and female students.
Each student either plays a sport or doesn't.
The two-way table summarizes a random sample of 70 students.
Female
Male
No sport
10
7
Sport 32 21
Let no sport be the event that a randomly chosen student (from the table) does not play a sport.
Let male be the event that a randomly chosen student (from the table) is male.
Find the following probabilities. Write your answers as decimals.
(a) P(male) = 0
(6) P(no sport and male) = 0
(c) P(no sport male) = 0

Answers

Answer:

a. P(male) = 0.4

b. P(no sport and male) = 0.1

c. Unclear question (isn't it the same as b.?)

Step-by-step explanation:

The data below is what I've worked according to, which isn't very clear from the question so the answers are only correct if this is the correct table of data;

[tex]\left[\begin{array}{ccc}&No \ Sports&Sports\\Female&10&32\\Male&7&21\end {array}\right][/tex]

a.

[tex]P(male) = \frac{7 + 21}{70} \\\\ = \frac{28}{70} \\\\ = \frac{2}{5}[/tex]

b.

Using the tree diagram in the picture;

[tex]P(no \ sport \ and \ male) = \frac{2}{5} * \frac{1}{4} \\\\ = \frac{1}{10}[/tex]

All of the points in the picture are on the same line *help asap*

Answers

Answer:

yes all of the points are on the same line

Step-by-step explanation:

Write the equation of the function graphed below:

a. f(x) = 2x−−√3 –4
b. f(x) = 2x−−√3 + 4
c. f(x) =x−−√3 + 4
d. f(x) =x−−√3 – 4

Answers

Answer:

I have a couple questions before I answer, what do the 2 dashes represent and are the 4s also under the square root?

Plz help me well mark brainliest only if u are correct!

Answers

Answer:

B

Step-by-step explanation:

Since x is being multiplied by -4/5, you need to multiply both sides of the equation by the reciprocal of -4/5 which -5/4.

Answer: B

1. Leonardo da Vinci asserted that a person's height is proportional to the length of the
person's palm. Don's palm is 5 centimeters in length and he is 120 centimeters tall. Mateo's
palm is 7.5 centimeters in length. Assuming that da Vinci's theory is correct, how tall, in
centimeters, is Mateo?

Answers

Answer:

120 : 5 = 24 suy ra 24 x 7,5 = 180

Step-by-step explanation:

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