Need Help with some Math


Determine the remainder when f(x) = 3x^15 - 5x^12 + 7x^6 - 3x^2 + 12 is divided by x + 1

Answers

Answer 1

Answer:

8

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial [tex]f(x)[/tex] being divided by a factor in the form of [tex](x-a)[/tex], then the remainder of the polynomial is given by [tex]f(a)[/tex].

We have the polynomial:

[tex]f(x)=3x^{15}-5x^{12}+7x^6-3x^2+12[/tex]

And it is being divided by:

[tex](x+1)[/tex]

We can rewrite our factor as:

[tex](x-(-1))[/tex]

Therefore:

[tex]a=-1[/tex]

Then our remainder will be:

[tex]f(-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(-1)&=3(-1)^{15}-5(-1)^{12}+7(-1)^6-3(-1)^2+12\\&=-3-5+7-3+12\\&=8 \end{aligned}[/tex]

So, our remainder will be 8.  


Related Questions

9. SHOW FULL STEPS. Solve for f(-4) and f(7) of the function below
f(x)=7-2x-3x²​

Answers

Answer:

f(-4) = 33

f(7) = -154

Step-by-step explanation:

In this question, you will solve the function by plugging in the given value.

Solve:

f(-4) = 7 - 2(-4) -3(-4)²​

= 7 - 2(-4) - 48

= 7 + 8 - 48

= 7 - 40

f(-4) = 33

----------------------------------

f(7) = 7 - 2(7) -3(7)²​

= 7 - 2(7) - 147

= 7 - 14 - 147

= 7 - 161

f(7) = -154

Help don’t understand

Answers

Answer:

Wait u don’t understand what is there supposed to be a pick or something?

Step-by-step explanation:

SOMEONE AWNSER FAST PlS

Answers

Answer:

15X - 11 = <LMN

Step-by-step explanation:

add the two expressions together

What is cot(< a)?
Reduce fractional answers to lowest terms.​

Answers

Answer:

The value of cot (∠A) = 3/4

Step-by-step explanation:

Given the angle ∠A of a right-angled triangle

The opposite of ∠A = 4The adjacent of ∠A = 3

We know that the trigonometric ratio

cot (∠A) = adjacent / opposite

             =  3/4

Thus, the value of cot (∠A) = 3/4

Someone can help, I really don't understan

Answers

Answer:

B

Step-by-step explanation:

we take 18.90 and subtract 2.95.

now we have 15.95

then divide 15.95 by 5

and now we have 3.19

Answer I think it’s b

Find the constant and exponents of 7y + x-5 + 2

Answers

Answer:

Exponents: 1

Constants: -5, 2

Step-by-step explanation:

7y + x - 5 + 2

Exponents: 1

Constants: -5, 2

5 < k -2 < 11 ?
-4 > y + 2 > -10 ?
5 -m < 4 or 7m > 35 ?
3 < 2p -3 < 12 ?

Answers

Answer:

[tex]7 < k < 13[/tex]

[tex]-6>y>-12[/tex]

[tex]m > 5[/tex]

[tex]3 < p < \frac{15}{2}[/tex]

Step-by-step explanation:

Given

[tex]5 < k -2 < 11[/tex]

[tex]-4 > y + 2 > -10[/tex]

[tex]5 -m < 4\ or\ 7m > 35[/tex]

[tex]3 < 2p -3 < 12[/tex]

Required

Solve

Solving (1):

[tex]5 < k -2 < 11[/tex]

The above can be represented as:

[tex]5<k -2[/tex] and [tex]k -2<11[/tex]

Solving [tex]5<k -2[/tex]

[tex]5 + 2 <k[/tex]

[tex]7<k[/tex]

Solving [tex]k -2<11[/tex]

[tex]k < 2 + 11[/tex]

[tex]k < 13[/tex]

So, we have:

[tex]7<k[/tex] and [tex]k < 13[/tex]

This can be combined as:

[tex]7 < k < 13[/tex]

Solving (2):

[tex]-4 > y + 2 > -10[/tex]

Split as:

[tex]-4 > y + 2[/tex] and [tex]y + 2 > -10[/tex]

Solving [tex]-4 > y + 2[/tex]

[tex]-4 - 2 > y[/tex]

[tex]-6 > y[/tex]

Solving [tex]y + 2 > -10[/tex]

[tex]y > -10 - 2[/tex]

[tex]y > -12[/tex]

So, we have:

[tex]-6 > y[/tex] and [tex]y > -12[/tex]

This gives

[tex]-6>y>-12[/tex]

Solving (3):

[tex]5 -m < 4\ or\ 7m > 35[/tex]

Solve for m in both cases:

[tex]5 - m < 4[/tex]

[tex]-m<4 - 5[/tex]

[tex]-m<- 1[/tex]

[tex]m > 1[/tex]

[tex]7m > 35[/tex]

Divide both sides by 5

[tex]m > 5[/tex]

So, we have:

[tex]m > 1[/tex] or [tex]m > 5[/tex]

The solution is [tex]m > 5[/tex] because [tex]5> 1[/tex]

Solving (4):

[tex]3 < 2p -3 < 12[/tex]

The above can be represented as:

[tex]3 < 2p - 3[/tex] and [tex]2p - 3<12[/tex]

Solving [tex]3 < 2p - 3[/tex]

Add 3 to both sides

[tex]3 + 3 < 2p - 3 + 3[/tex]

[tex]6 < 2p[/tex]

Divide both sids by 2

[tex]3 < p[/tex]

[tex]2p - 3<12[/tex]

Add 3 to both sides

[tex]2p - 3 + 3 < 12 + 3[/tex]

[tex]2p < 12 + 3[/tex]

[tex]2p < 15[/tex]

Solve for p

[tex]p < \frac{15}{2}[/tex]

So, we have:

[tex]3 < p[/tex] and [tex]p < \frac{15}{2}[/tex]

Combined as:

[tex]3 < p < \frac{15}{2}[/tex]

Can someone please help

Answers

I need points lol ,, i hope you find your answer i guess .

HELPPPPPpPpppppppppppp

Answers

Answer:

360000

Step-by-step explanation

Step-by-step explanation:

36000

move the decimal to right 4 time then fill the blank with 0

example: 3.6×10⁴ = 36000

note: if the power is positive mo right, if negativw movw the decimal point to left

3. Which of the following objects does not have three dimensions?

a cube

a house

a soda can

a line

Answers

Line because a line is not 3-D

Ben Lee earns $86,720 annually. What is his semimonthly pay

Answers

Answer:

$3,998 would be the semi monthly pay.

BRAINLIEST AND EXTRA POINTS IF U HELP !

Gina has 26 more barrettes than Holly.

The equation g = 26 + h, where g represents the number of barrettes Gina has, and h represents the number of barrettes Holly has, shows this relationship.

If Gina has 49 barrettes, how many barrettes does Holly have?
A. 23
B. 72
C. 75
D. 19

Answers

Answer:

its A 23

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

Ja’Miya needs to save $84. She has saved $63. What percent of the money she needs , has she saved

Answers

Answer:

75%

Step-by-step explanation:

63/84 = .75

.75= 75%

The equations of four lines are given. Identify which lines are parallel.
Line 1:
y=-7x + 6
Line 2:
x +1/5y=-6
Line 3:
y=-5x -8
Line 4:
y+7=-1/7(x+4)

Answers

Answer:

Line 2 and 3 are parallel

Step-by-step explanation:

Recall that the general equation of a line in slope-intercept form is given by:

y = mx + b

where m is the gradient (slope).

two different equations that have the same value of m is said to have the same gradient and hence are parallel.

We simply have to rearrange each given equation so that it takes the form

y = mx + b and then compare all 4 to see which values of m are the same.

Line 1 :  y = -7x + 6

Line 2: x +(1/5)y=-6 ===> rearrange to get y = -5x - 30

Line 3:  y= -5x -8

Line 4:  y+7=(-1/7)(x+4) ===> rearrange to get y = (-1/7)x - (53/7)

comparing the above, it is clear that line 2 and line 3 have m- values of m = -5, hence these lines are parallel.

Help me pleaseeee I would be happy
Give a real-world scenario where positive and negative numbers represent opposites
1.what do the positive numbers represent?
2 what do zero represent in this scenario?
3 what do the negative number represent?

Answers

Answer:

how much you have ( tommy plucked 6 apples from a tree)

have nothing  (tommy gave away 6 apples)

have less than 0  ( tommy gave away 6 apples)

6-6=0

Step-by-step explanation:

Need help quickly, please and thank you;

Answers

f(x) = y = -1/3x + 0
g(x) = y= -1/3x - 3

I don’t think that you have to include the y in the equations. It really depends on what your teacher wants. ;)

Hope this helps✨❤️
Merry Early Christmas!

Darlene wil borrow $2200 at 15% APR She will pay it back in 12 months
How much interest will she par? Use the table
Interest Per 5100
75 APR 996 APR 11% APR 135. APR 155 APR
Months
3
175
2.25
275
3.25
3.75
3.50
5.50
6.50
7.50
5.25
8.75
0)
8.25
975
11.25
7.00
9.00
13.00
15.00
15
8.75
13.75
16.25
18.75
10.50
13.50
16.50
19.50
22.50

Answers

Answer:

$330

Step-by-step explanation:

The Value of interest will she par is,

⇒ $ 330

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Now,

According to the table;

For a time of 12 months and at a rate of 15%,

The interest per $100 is, $15.

Therefore, for a principal of $2200 the interest will be;

⇒ $ (2200/100) × 15

⇒ $ 330

Thus, Value of interest will she par is,

⇒ $ 330

Learn more about the Interest visit:

https://brainly.com/question/7639734

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help for cookie !!!!!!

Answers

Answer:

hi

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

8x - 5x + 4 - x = Ax + 8             -------   start by combining the on the left

(8x - 5x - x) + 4 = Ax + 8           -------   solve

2x + 4 = Ax + 8       ------    A has to be the same # as the variable on th left side

2x + 4 = 2x + 8       -------   now subtract 2x from both sides

4 = 8

What is 7/9dividing1/3 a fraction is

Answers

Answer:

7/9 ÷ 1/3 = 21/9 as simplified as 7/3 in fraction form. 7/9 ÷ 1/3 = 2.3333 in decimal form.

The box by players performed the lion king 3 times to a sold out theater. Tickets cost $19 each. And ticket sales totaled $7068. How many people saw the show each night?

Number of tickets sold:

Number of people in the audience each night:

Answers

Answer:

Number of tickets sold: 372

Number of people each night: 124

Answer:

Number of tickets sold:

372

Number of people in the audience each night:

Roughly 124 per night

Which of the following expressions is in simplified form?
-9+ 2.7x + 0.8
03 w+ 1.3w
62 - 4
02t - 5 - t

Answers

Answer:

None of these expressions are in simplified form.

Step-by-step explanation: So basically simplified form is that an equation/expression is till you cant combine any like terms. Liked terms are like 4 and 5 or 2x and 3x.

Number 1_ 2.7x-8.2.

Number 2_ 4.3w. Is the 03 a 3 or 0.3?

Number 3_ 58.

Number 4_ t-5. Is the 02t a 2t or 0.2t?

I hope this helps and please let me know about the questions on Number 2 and 4 that I asked about in the explanation below in the comments. Thanks!

Find the a2, a3, and a4 terms of the sequence defined as:

Answers

Answer:

[tex] a_2 =\frac{1}{2}\\\\

a_3 =2\\\\

a_2 =\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]a_1 = 2......(given)\\\\

a_n =\frac{1}{a_{n-1}}\\\\

Plug\: n = 2\\

a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\

Plug\: n = 3\\

a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\

Plug\: n = 4\\

a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]

MADEAAA HELPPPPPPPPPPPPP MEEEEEEEEE

Answers

Answer:

7 inches

Step-by-step explanation:

........................

Answers

Answer:

Ello

Step-by-step explanation:

........................

Which is greater -3.7 or -3 2/5

Answers

Answer:

-3 2/4 is greater that -3.7

Step-by-step explanation:

2/4 is 0.4 and when dealing with negatives so the lower negative is the closest to 0 so the smaller negative is the greatest.

Which equation is equivalent to x + 8 = 21? (x + 8) × 4 = 21 (x + 8) × 4 = 21 ÷ 4 (x + 8) × 4 = 21 × 2 (x + 8) × 4 = 21 × 4

Answers

Answer:

(x + 8) × 4 = 21 × 4

Explanation:

x + 8 = 21

21 - 8 = 13

(13 + 8) × 4 = 21 × 4

21 × 4 = 21 × 4

84 = 21 × 4

84 = 84

IF FGH = QRS, find the measure of

Answers

Answer:

x=9 which makes angle q 28 degrees

Step-by-step explanation:

please mark me as the brainliest

Samir is a self-employed marketing consultant. He had no income from January through March 2020. His April through December 2020 income subject to SE tax is $55,000.
Samir's SE tax for 2020 is $7,771 [$55,000 x 0.9235 x 0.153 = $7,771]. Samir may reduce his estimated tax payments by how much?

Answers

Answer:

Step-by-step explanation:

Since he is his own boss, he is basically a self employed taxpayer and should be to deduct the employer portion of self employment taxes that he/she pays during the year.

In a case like this, the total self employment taxes are $7,771 x 50% = $7,771 * 0.5 = $3,885.50. This money also now, is corresponding to employer taxes (the other 50% are not deductible since they correspond to employee taxes).

Self employment taxes composes but not limited to Medicare and Social Security taxes (FICA taxes basically).

Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1. A −1 B 1 C −5 D 5

Answers

Answer:

D. 5

Step-by-step explanation:

From the information given:

The derivatives of functions and functions have a different average rate. The average rate expanded over an interval of two distinct point (a f(a)) and (b f(b)) is represented by the equation:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

where; the two points are:

(-1 , f( -1) )    &    ( 1,  f(1) )

For f(1); we have:

f(1) = 1 +3(1)³ - 5(1)² + 2(1) - 2

f(1) = 1 + 3 - 5 + 2 -2

f(1) = - 1

For  f( -1); we have:

(-1)⁴ + 3(-1)³ - 5(-1)²+2(-1)-2

= 1 - 3 - 5 -2 - 2

= -11

[tex]=\dfrac{-1-(-11)}{1 - (-1)}[/tex]

[tex]=\dfrac{-1+11}{1 +1}[/tex]

[tex]=\dfrac{10}{2}[/tex]

= 5

In the following equation, f(x)=2x +7, what is f(-3)?

Answers

Answer:

f(-3) = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 7

f(-3) is x = -3

Step 2: Evaluate

Substitute:                   f(-3) = 2(-3) + 7Multiply:                       f(-3) = -6 + 7Add:                             f(-3) = 1
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