Angie divides the polynomial function f (x)+x3+3x2-7x-21 by (x+3) what can she conclude from the fact that the remainder is equal to 0

Angie Divides The Polynomial Function F (x)+x3+3x2-7x-21 By (x+3) What Can She Conclude From The Fact

Answers

Answer 1

Answer:

Yes, and if you divide x^3+3x^2-7x-21 with x+3 you will result in x^2-7

Step-by-step explanation:

Hope this helps

And I like your profile pic

Angie Divides The Polynomial Function F (x)+x3+3x2-7x-21 By (x+3) What Can She Conclude From The Fact
Answer 2

The given polynomial is divisible by x+3 because f(-3)=0

So , the remainder is equal to 0

Her conclusion is correct.

Given :

Angie divides the polynomial function

[tex]f (x)=x^3+3x^2-7x-21[/tex] by (x+3)

Apply remainder theorem to check whether the remainder is equal to 0

If a polynomial p(x) is divisible by  (x-a), the remainder obtained is P(a)

x+3 is the divisor

Lets set the divisor =0 and solve for x

[tex]x+3=0\\x=-3[/tex]

Now we plug in -3 for x in given f(x) and see whether f(-3) =0

[tex]f (x)=x^3+3x^2-7x-21\\f (-3)=(-3)^3+3(-3)^2-7(-3)-21\\f(-3)=-27+27+21-21\\f(-3)=0[/tex]

So, f(-3)=0 and hence the remainder is 0

Her conclusion is correct

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Related Questions

The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the correct answer to complete the blanks in the sentence: "The level of ibuprofen in the patient's bloodstream increased from _____ hours to _____ hours."

Answers

The graph is missing, so i have attached it.

Answer:

From 0 hours to 2 hours.

Step-by-step explanation:

From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.

Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.

After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.

Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.

The speed of light is about 670,616,629 miles per hour. Which is this
speed of light written in scientific notation?

Answers

Answer:

6.70616629 × 10^8

Step-by-step explanation:

X + 7/8 = 23/8

They are fractions
Please help

Answers

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

Answer:

x=2

subtract 7/8 from both of the sides

x= 23/8-7/8

Simplify 23/8 - 7/8 to 2

x=2

Label the following graph as vertical or horizontal:

x = –2





A.
Circle

B.
Horizontal

C.
Vertical

D.
Curved

Answers

The answer is vertical.

Of 15 possible​ books, you plan to take 7 with you on vacation. How many different collections of 7 books can you​ take?

Answers

Am I the only one that doesn’t get what the question is asking
I feel like 1 piece of information is missing

Like how much in a collection?

The number of collections of 7 books can you​ take is 1685.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Total books= 15

n = 15 (the number of possible books) and r = 7 (the number of books to be taken).

Now,

To find the number of different collections of 7 books, we can use the formula for combinations. Combinations are ways of selecting items from a collection, such that the order of selection does not matter.

The formula for combinations is:

nCr = n! / (r! (n - r)!)

where n is the number of items in the collection, r is the number of items to be selected, and ! is the factorial operator.

We can plug these values into the formula:

15C7 = 15! / (7! (15 - 7)!)

= 15! / (7! 8!)

= (15 x 14 x 13 x 12 x 11 x 10 x 9 x 8!) / (7! 8!)

= (15 x 14 x 13 x 12 x 11 x 10 x 9) / (7 x 6 x 5 x 4 x 3 x 2 x 1)

= (6435 x 1320) / (5040)

= 8491770 / 5040

= 1685.25

Since we cannot have a fraction of a collection, we round down to get the final answer:

15C7 = 1685

Therefor, by algebra the answer will be 1685.

More about the Algebra link is given below.

brainly.com/question/953809

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I give brainliest
Which of the following sets of ordered pairs represent functions? Select all.

A. (0,3), (1,4), (2,5), (1,6), (0,7)


B.(-2,0), (0.1), (2.2), (4,3), (6,4)


C. (2,4), (0,2), (2,0). (0,-2), (2,-4)


D. (3,-2), (4, -3), (5,-4), (6,-5)


E. (3,-2).(-2,3), (4, -1) (-1, 4)

Answers

Functions are accurate through having one x intercepts which is how you can find which are functions or not.
Answer- B,D,E

Jackson painted 80 bird house. 30% of the bird houses were painted green how many green bird houses did Jackson paint

Answers

if you take away the 0s you can multiply 8 and 3. sooooo

3x8=24

7x-7=2x-1 what is x please help

Answers

Answer:

x= 1.2

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

Step 2: Add 7 to both sides.

Step 3: Divide both sides by 5.

Hope this helped :)

Answer:

7x+=2x-1

7x+2x=7+1

9x=8

x=9-8

x=1

3x+2=2x+7 what is x lol why I need 20 characters anyway help

Answers

Answer:

5

Step-by-step explanation:

3x-2x=7-2

x=5

help meeeee pleaseeee​

Answers

Not sure but the answer may be M=4
B=2

Notes ...
The supporters at a wrestling tournament either supported the home team or the visiting
teams. 45% of the supporters cheered for the visiting tearns and 55% of the supporters
cheered for the home team. If the total number of people attending the tournament was
1200, how many people were supporters of the visiting teams at the wrestling
tournament?
X=45
55-1200
Practic...
Margaret is completing a lifeguard course and is completing the test at the end of the
course. There are 75 total questions that she needs to complete and she is 36% complete.
How many more cuestions does she need to complete
Q

Answers

Answer:

Step-by-step explanation:

For your first question,

Total percentage of people cheering for visiting team = 45%

Total percentage of people cheering for home team = 55%

Total number of people cheering = 1200

Therefore, the number of people cheering for visiting team = 45% of 1200

                                                                                                   = [tex]\frac{45}{100}[/tex] × 1200

                                                                                                   = 45 × 12

                                                                                                    = 540 people

For your second question,

Total number of questions = 75

Total percentage of the number of questions he completed = 36%

Percentage of the amount of questions left = 100 - 36 = 64%

Therefore, the number of questions left to complete = 64% of 75

                                                                                 = [tex]\frac{64}{100}[/tex] × 75

                                                                                 = [tex]\frac{64}{20}[/tex]  × 15

                                                                                 = [tex]\frac{64}{4}[/tex] × 3

                                                                                 = 16 × 3

                                                                                 = 48 questions are left

Use a model to divide. 1/4 divided by 3.

Possible answers are,

3/6

9

1/12

1/6

Answers

9 is the answer I hope this helped

A student took two national aptitude tests. The national mean and standard deviation were 325 and 100, respectively, for the first test, and 50 and 6, respectively, for the second test. The student scored 425 on the first test and 65 on the second test. Use z-scores to determine on which exam the student performed better relative to the other test takers. first exam

Answers

Answer:

Second test

Step-by-step explanation:

Given that :

FIRST TEST

Mean (m) = 325

Standard deviation (s) = 100

Score (x) = 425

SECOND TEST

Mean (m) = 50

Standard deviation (s) = 6

Score (x) = 65

Express both scores as standardized scores:

Zscore = (x - m) / s

First Score :

Zscore = (425 - 325) / 100

Zscore = 100/100 = 1

SECOND SCORE :

Zscore = (65 - 50) / 6

Zscore = 15 / 6 = 2.5

Student performed better on second test :

Zscore second > Zscore first

If average of 3 quantities is 15 , sum of quantities is....?

Answers

Step-by-step explanation:

Sum of quantities = Average of quantities * Number of quantities = 15 * 3 = 45.

Answer:

45

Step-by-step explanation:

Average = Sum of quantities / Number of quantities

15 = Sum / 3

Sum = 45

45.15 ÷ 21 pleases solve it for me

Answers

Answer:

2.15

Step-by-step explanation:

Write an equation that represents the tile pattern in the table below

Answers

Answer:

y=3x+2

Step-by-step explanation:

First find the slope or m in the line of equation y=mx+b

to find slope you need two points, plug in to y2-y1 / x2-x1

so lets use points (0,2) (1,5)

5-2 / 1-0 = 3

m=3

we have y=3x + b

now we find b by pugging in a point, let's use (0,2)

2 = 3(0) + b

b= 2

y=3x+2

please give thanks by hitting the heart button :)

The pair of triangle are similar What is the value of X

Answers

Answer:

cscs

Step-by-step explanation:

aasdadx

Complete the following statement. Write your answer as a decimal or whole number.
____% of $80 = $4

Answers

Wait i think we’re doing the same thing-

5% of $80 is $4.

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, ____% of $80 = $4

Let x be the percent,

x% of 80 = 4

x = 4*100/80 = 5

Hence, 5% of $80 is $4.

For more references on percentage, click;

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okay. i need help i been working on this for like- 4 hours i dont know chile anyways so. im kinda not- smart- right now and i lost my brain. so a little help please <3

Answers

1. 8.2 repeating

2. 0.878

3. 22.02 repeating

4. 1.852 repeating

5. 0.76335877

6. 0.270 repeating

PLEASE HELP ME WITH THIS!! WRITE DOWN BELOW WHAT I CAN PUT INTO THIS QUESTION PLEASE! I WILL BE COPYING AND PASTING YOUR RESPONSE ONTO THE ANSWER BOX

Answers

x + y = 180 degrees

15 divided by 19.5. help, please.

Answers

Answer:

Step-by-step explanation:

0.76923076923

TAKE A PIC OF A PEICE OF PAPER WITH THE WORK ON IT AND AWNSER. Heyyy pls help me :( it would mean a lot!!! I have a 55% in math rn and I’m trying to get it up.. it would mean a lot if you could help me. I’m not doing so good rn. My parents are very mad about my grades, pls help. JUST 5 QUESTIONS

Answers

Answer:

1.

4x-5x+3-8

-x-5

2.

3x^2+8x^2-2x+7x

11x^2-5x

3.

4x+9x+2y+3y^2

3y^2+5y+13x

4.

-5x-7x-2

-5x+-7x-2

-12x-2

5.

6(3x-5)-9x

6(3(4)-5)-9(4)

6(12-5)-36

6(7)-36

6

hopefully this helps! the boxed answers are the answer to the problem, feel free to comment if you need more help or clarification!

Indicate a general rule for the nh term of this sequence.
12a, 15a, 18a, 21a, 24a,...

Answers

Answer:

The general rule for the nth term of this sequence will be:

[tex]a_n=3na+9a[/tex]

Step-by-step explanation:

Given the sequence

12a, 15a, 18a, 21a, 24a,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 12a, d = 3a

[tex]a_n=12a+\left(n-1\right)3a[/tex]

     [tex]=12a+3na-3a[/tex]

     [tex]=3na+9a[/tex]

Therefore, the general rule for the nth term of this sequence will be:

[tex]a_n=3na+9a[/tex]

What is 55% of 38
A) 20.4
B)1767
C)2090
D)20.9
E) none of these

Answers

Answer:

e

Step-by-step explanation:

yes

THE ANSWER IS E :) hope it’s right

The solution of 12 + 2x – x = 9x + 28

Answers

Answer:

x = -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

9x-28=x+12

We move all terms to the left:

9x-28-(x+12)=0

We get rid of parentheses

9x-x-12-28=0

We add all the numbers together, and all the variables

8x-40=0

We move all terms containing x to the left, all other terms to the right

8x=40

x=40/8

x=5

1. Jordy brings in cupcakes for his class. He brings 2 cupcakes for each person in his class and 5 extra cupcakes as extra just in case. If Jordy brings in 49 cupcakes in all, write an equation that represents this information and then solve to find out how many classmates he has.

PLS PLS WRITE THE EQUATION...

Answers

Answer:

22 people

Step-by-step explanation:

49 - 5 = 44 cupcakes

44 ÷ 2 =  22 people

3. The letters that form the word MISSISSIPPI are placed in a bowl. What are the odds of choosing a “P”? Express as a fraction.

Answers

Answer:

Step-by-step explanation:

Lol since there's 2 P's and 11 letters in MISSISSIPPI. Odds are 2/11.

What is the slope of the line? Input the ratio and choose
the correct units. Then click done.

Answers

SLOPE FORMULA: m= y2-y1/x2-x1
STEP BY STEP:
m=180-80/7-3
m=100/4
m=25
(idk if this is exactly the answered your question, i jsut solved the slope of the line with the given points)

Answer:

100/4

Step-by-step explanation:

Just took the test on iready it was right.

n/32 = 1/16

Please select the best answer from the choices provided.

A: n = 1/2
B: n = 4
C: n = 2
D: n = 12​

Answers

Answer:

2 is the correct answer dood

Answer:

c) n=2

Step-by-step explanation:

A tablet that regularly sells for $330 was on sale for 15% off. If Jeremiah paid $302.94 total including tax, what is the sales tax

Answers

Answer:

8% sales tax

Step-by-step explanation:

$330 x .15 = $49.50

$330 - $49.50 = $280.50

$302.94 - $280.50 = $22.44

$22.44/$280.50 = .08 x 100 x 8%

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