Using the polynomial remainder theoremP(x) = x^2-9x^3-5x^2-4x+5 divided by x + 3

Answers

Answer 1

The given polynomial is

x^2 - 9x^3 - 5x^2 - 4x + 5

By simplifying it, it becomes

- 9x^3 + x^2 - 5x^2 - 4x + 5

- 9x^3 - 4x^2 - 4x + 5

We want to divide it by x + 3. To use the remainder theorem, we would substitute x = - 3 into the polynomial to find the remainder, r. We have

r = p(- 3) = -9(-3)^3 - 4(-3)^2 - 4(-3) + 5

243 - 36 + 12 + 5

r = 224

Thus, the remainder when P(x) = x^2-9x^3-5x^2-4x+5 is divided by x + 3 is 224

P(-3) = 224

-


Related Questions

don buys 6 fruits for 3$. what would a customer pay for 9 fruits.

Answers

Answer:

$45

Step-by-step explanation:

6 fruits=$3

1 fruit=$0.50

9 fruits=$0.50(9)

9 fruits=$45

Hope this helped! :)

3$/6 fruits is .50 cents
.50•9= 4.50$
So 4.50$ for 9 fruits :)

Identify the vertex of f :
f(x) = 3(x + 5)2 - 10

Answers

Answer:

(-5,-10)

Step-by-step explanation:

Horizontal shift left 5 units and vertical translation down 10 units.

Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below.

Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure

Answers

Answer:

complementary

b = 45 deg

Step-by-step explanation:

Angles b and 45-deg are complementary since their measures ad to 90 deg.

45 + b = 90

b = 45

Answer:

Complementary

45°

Step-by-step explanation:

b + 45° = 90°

b = 90° - 45°

b = 45°

Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 180° counterclockwise.

U′(0, −2), V′(−1, −3), W′(−3, −3)
U′(0, −2), V′(1, −3), W′(3, −3)
U′(2, 0), V′(3, −1), W′(3, −3)
U′(−1, 0), V′(−3, 0), W′(3, −3)

Answers

To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

A 180° counterclockwise rotation of a point (x, y) about the origin produces the point (-x, -y).To perform a rotation of a polygon, we apply the transformation rule to each vertex of the polygon.

Using these rules, we can find the vertices of image U′V′W′ as follows:

Vertex U(-2, 0) is transformed to U′(0, -2), since (-(-2), -(0)) = (2, 0) becomes (0, -2) after the rotation.Vertex V(-3, 1) is transformed to V′(1, -3), since (-(-3), -(1)) = (3, -1) becomes (1, -3) after the rotation.Vertex W(-3, 3) is transformed to W′(3, -3), since (-(-3), -(3)) = (3, 3) becomes (3, -3) after the rotation.

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

please help us soon as possible I will give you lots of points please help me out please please please please please please please ​

please help us soon as possible I will give you lots of points please help me out please please please

Answers

Answer:

C

Step-by-step explanation:

To the nearest tenth, find the missing length of an isosceles right triangle with legs that measure 12 cm.

Answers

The missing length of an isosceles right triangle with legs that measure 12 cm is given as follows:

17 cm.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

In an isosceles right triangle, the two legs have an equal measure, which for this problem is of 12 cm.

Then the missing length is the hypotenuse, obtained with the Pythagorean Theorem as follows:

h² = 12² + 12²

h = sqrt(12² + 12²)

h = 16.97 cm.

h = 17 cm. -> rounded to the nearest tenth.

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A U-test comparing the performance of BSc and MEng students on a maths exam found a common language effect size (f-value) of 0.4. Which of the following is a correct interpretation, assuming the MEng students were better on average?

a. MEng students scored, on average, 40 more marks out of 100 on the test.
b. The MEng students had an average of 40% on the test.
c. If you picked a random BSc student and a random MEng student, the probability that the BSc student is the higher-scoring of the two is 40%.
d. On average, BSc students achieved 40% as many marks on the test as MEng students (so if the MEng average was 68, the B5c average would be 68* 0.4-27.2)
e. The BSc students had an average of 40% on the test.
f. MEng students scored, on average, 0.4 pooled standard deviations higher on the test.

Answers

The correct interpretation of the U-test comparing the performance of BSc and MEng students on a math exam with a common language effect size (f-value) of 0.4 is:

f. MEng students scored, on average, 0.4 pooled standard deviations higher on the test.

How did the MEng students perform compared to BSc students on the math exam?

In the U-test, the common language effect size (f-value) of 0.4 indicates that, on average, MEng students scored 0.4 pooled standard deviations higher than BSc students on the math exam. This effect size provides a measure of the difference between the two groups in terms of their performance on the test. It does not directly translate into a specific score or percentage difference.

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I NEED ANSWERS FAST. 1.Using the following image, find
FE given GF=6 and GE=13, 2.Using the following image, find
RS given ST=5and RT=11

.

I NEED ANSWERS FAST. 1.Using the following image, find FE given GF=6 and GE=13, 2.Using the following
I NEED ANSWERS FAST. 1.Using the following image, find FE given GF=6 and GE=13, 2.Using the following

Answers

Answer: FE  is  7 and RS  is  6.

Step-by-step explanation:

13 - 6 = 7  

11-5= 6

Answer:

FE = 7

RS = 6

Step-by-step explanation:

for the first line, we know that line GE is 13 units long, and segment GF is 6 units. simply subtract 6 from 13 to get the length of segment FE.

13 - 6 = 7

You can do the same thing for the second problem.

11 - 5 = 6

hope it helps!

7. A shopkeeper sold a pen set for 180 at a profit of 30. To make a profit of 26%, what should be the selling price of the pen set? 1otor​

Answers

\(\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}\)

\(selling \: price \: of \: pen = 180 \: rs \\ profit = 30 \: rs \\ cost \: price = selling \: price - profit \\ = > 180 - 30 \\ = > 150 \: rs\)———————————required profit = 26%

so ,

\(new \: selling \: price = 150 + \frac{26}{100} \times 150 \\ = > 150 + 39 \\ = > 189 \: rs\)

———————————thuѕ, thє nєw ѕєllíng prícє σf pєn ѕєt wíll вє rѕ. 189

hσpє hєlpful~

Based on the information given the selling price of the pen set is $189.

Using this formula

Selling price=Selling price of pen+(Profit percentage× Selling price of pen)

Let plug in the formula

Selling Price=$150 +( 26% ×$150)

Selling Price=$150 +$39

Selling Price=$189

Inconclusion  the selling price of the pen set is $189.

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A rectangular dog cage has a length of 4 1/2 feet and a width of 3 3/7 feet. What is the area of the cage?
(Help please)

Answers

Step-by-step explanation:

Area of rectangle =height×base

4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7

Clare used 30% less butter this month than last month when baking holiday treats. If she used 250 tablespoons of butter last month, how many tablespoons did she use this month?

Answers

Answer:

175 tablespoons.

Step-by-step explanation:

250 × 30% = 75

250 - 75 = 175

What is the Length of this diameter?

What is the Length of this diameter?

Answers

The length of the diameter is 18 meters


Calculating the length of the diameter

from the question, we have the following parameters that can be used in our computation:

SA = 1017.36

The shape is a sphere

So, we have

SA = 4πr²

Substitute the known values in the above equation, so, we have the following representation

4πr² = 1017.36

So, we have

r² = 80.96

Take the square root

r = 9

Multiply by 2

d = 18

Hence, the diameter is 18 meters

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The scatter plot and line of best fit show the relationship between the number of pancakes eaten and volume of syrup used.

The scatter plot and line of best fit show the relationship between the number of pancakes eaten and

Answers

Answer:

the answer is C

Step-by-step explanation:

Okay an explanation:

so basically the graph above shows that for each pancake eaten then 1/4 of a cup of syrup is used

thus 1/4×4=1 (full cup of syrup) meaning that for every cup of syrup, 4 pancakes are eaten

the other answers are incorrect because:

a) answer a describes that for every pancake eaten, one cup of syrup is used this is incorrect as the units on the y axis dont match up with the x axis or the statement claimed.

b) the line for the graph with describes the relation between cup of syrup used per pancake goes up to 2.75 cups of syrup which would only mean that we were ro make an assumption > inaccurate

d) this claims that for every two pancakes, one cup of syrup is used but in actuality, only half a cup is used

Answer:

answer is d

Step-by-step explanation:

got it right

3−2x(-2)<−10 ANSWER IT NOW

Answers

Answer:

\(\large\boxed{x < -3.25}\)

Step-by-step explanation:

3 - 2x(-2) < -10

Multiply 2x(-2)

4x + 3 < -10

Subtract 3 from both sides of the equation

4x < -13

Divide both sides of the equation by 4

\(\large\boxed{x < -3.25}\)

Hope this helps :)

42, 53, 54, 55, 59, 59, 60, 63, 65, 67, 70, 71, 73

Mode=

A. 60
B. 59
C. 60.85

Answers

Answer:  59

Reason:

The mode is the number that shows up the most.

In this case, it would be 59 because it shows up twice, which is the most compared to any other number (which only show up once).

Which one of these relationships is different than the other three? Write the equation for each line,or find the slope (one of them is different from the other3)

Which one of these relationships is different than the other three? Write the equation for each line,or

Answers

Answer:

Graph B is different from the others.

Equation for Graph A, C, and D is \( y = 5x \).

Equation of Graph B is \( y = 5.5x \)

Step-by-step explanation:

The equation of each line can be written as \( y = mx \), where m is the slope.

Using each point given in each graph, we can find m and also an equation for each graph:

✍️Graph A Equation and slope:

Using the point given, (0.8, 4), the slope, m, can be calculated as,

\( m = \frac{y}{x} = \frac{4}{0.8} = 5 \)

Substitute m = 5 into \( y = mx \).

✅Equation for graph A would be \( y = 5x \).

✍️Graph B Equation and slope:

Using the point given, (10, 55), the slope, m, can be calculated as,

\( m = \frac{y}{x} = \frac{55}{10} = 5.5 \)

Substitute m = 5.5 into \( y = mx \).

❌Equation for graph B would be \( y = 5.5x \).

✍️Graph C Equation and slope:

Using the point given, (4, 20), the slope, m, can be calculated as,

\( m = \frac{y}{x} = \frac{20}{4} = 5 \)

Substitute m = 5 into \( y = mx \).

✅Equation for graph C would be \( y = 5x \).

✍️Graph D Equation and slope:

Using the point given, (10, 50), the slope, m, can be calculated as,

\( m = \frac{y}{x} = \frac{4}{0.8} = 5 \)

Substitute m = 5 into \( y = mx \).

✅Equation for graph D would be \( y = 5x \).

Equation for Graph A, C, and D is \( y = 5x \).

Equation of Graph B is \( y = 5.5x \)

. what is the probability that a five-card poker hand contains two pairs (that is, two of each of two different kinds and a fifth card of a third kind)?

Answers

The probability of obtaining a five-card poker hand that contains two pairs is approximately 0.0475, or 4.75%.

To calculate the probability of obtaining a five-card poker hand with two pairs, we need to determine the number of favorable outcomes (hands with two pairs) and the total number of possible outcomes (all possible five-card hands).

A hand with two pairs consists of two cards of one rank, two cards of another rank, and a fifth card of a different rank. There are 13 ranks to choose from, and for each rank, we can choose 2 out of the 4 cards to form the pairs. The fifth card can be any of the remaining 11 ranks.

The number of ways to select two ranks for the pairs is given by C(13, 2) = 78. For each pair rank, there are C(4, 2) = 6 ways to select the two cards. The fifth card can be chosen from the remaining 11 ranks in C(11, 1) = 11 ways.

Therefore, the number of favorable outcomes is 78 × 6 × 6 × 11 = 37,368.

The total number of possible five-card hands is C(52, 5) = 2,598,960.

Thus, the probability of obtaining a hand with two pairs is 37,368 ÷ 2,598,960 ≈ 0.0475, or 4.75%.

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Each student in Mr. Kelly's shop class needs a piece of wood13-foot long to complete a project. Mr. Kelly has one piece of wood that is716-foot long.How many pieces that are exactly13-foot long can be made from Mr. Kelly's longer piece of wood?

Answers

From Mr. Kelly's longer piece of wood, he can make 55 pieces that are exactly 13 feet long.

To calculate the number of 13-foot pieces that can be made from the longer piece of wood, we need to divide the length of the longer piece by the length of each individual piece. In this case, the longer piece of wood is 716 feet long, and each student needs a piece of wood that is 13 feet long.

Dividing 716 by 13 gives us the quotient of 55.0769. Since we cannot have a fraction of a piece, we round down to the nearest whole number, which is 55. Therefore, Mr. Kelly can make 55 pieces that are exactly 13 feet long from the longer piece of wood.

It's important to note that rounding down means that there may be some leftover wood after making the 55 pieces. In this case, the remaining wood would be less than 13 feet long.

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.The bar graph shows the wage gap between men and women for selected years from 1960 through 2020 The function G(x)=-0.01x²+x+65 models the wage gap, as a percent, x years after 1980. The graph of function G is also shown Use this information to complete parts a and b a. Find and interpret G(10) OA G(10)-74, which represents a wage gap of 74% in the year 1990. OB. 0(10)-74, which represents a wage gap of $74.000 in the year 1990 OC. G(10)-73, which represents a wage gap of 73% in the year 1990 OD. G(10)-73 which represents a wage gap of $73,000 in the year 1990.

Answers

Therefore, the correct option is G(10)-73, which represents a wage gap of 73% in the year 1990. This statement is false since the wage gap is 64% and not 73% in 1990.

a. We are given that G(x) = -0.01x²+x+65 represents the wage gap as a percent x years after 1980.

We are to find and interpret G(10).G(10) = -0.01(10)²+10+65

= 64

The wage gap 10 years after 1980 is 64%.

Therefore, the correct option is OA.G(10)-74, which represents a wage gap of 74% in the year 1990.

This statement is false since the wage gap is 64% and not 74% in 1990.

b. We are asked to determine the wage gap of the year 1990 from the given graph and function.

From the graph, we can see that the wage gap is approximately 65% in 1990.To confirm this using the function G, we will calculate G(10).G(10) = -0.01(10)²+10+65 = 64%

Option OB and OD are false since they don't represent the wage gap values for 1990. Thus, the correct option is OA G(10)-74, which represents a wage gap of 74% in the year 1990.

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iready question 8 which graph does not represent a function​

iready question 8 which graph does not represent a function

Answers

Answer:

The one that makes a circle

Step-by-step explanation:

What is 10+12.50h=5+15h? Solve for h and show your work please.

Answers

Answer:

10+12.50h=5+15h

We move all terms to the left:

10+12.50h-(5+15h)=0

We add all the numbers together, and all the variables

12.50h-(15h+5)+10=0

We get rid of parentheses

12.50h-15h-5+10=0

We add all the numbers together, and all the variables

-2.5h+5=0

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

-2.5h=-5

h=-5/-2.5

h=+2

Step-by-step explanation:

please heart and give brainliest


Please help

Q4. Here are the first four terms of a sequence: 12, 36, 108, 324...
a) Find the nth term for this sequence giving your answer in the simplest form.

Answers

24n -12 :)
hahsvsv ebbs

See the figure below. Which graph is the most appropriate to describe the height over time of a helium ballon that was accidentally let go and later burst?

See the figure below. Which graph is the most appropriate to describe the height over time of a helium

Answers

Answer:

  D

Step-by-step explanation:

We expect the height of a helium balloon to be increasing, up to the point where it bursts.

The only graph that shows consistently increasing altitude with a final drop is graph D.

_____

Additional comment

The graph of D shows the altitude increases at an increasing rate. The buoyancy force decreases with altitude, so we expect the balloon would actually have a decreasing rate of altitude increase. The actual curve would likely be concave downward.

Answer:

Okay...................

Which one?
A. B. C. or D? ​

Which one? A. B. C. or D?

Answers

Answer:

b

Step-by-step explanation:

because b sounds like it lol

what does the point (1,5) represent

Answers

The point (1,5) is:

Like it is shown this means that we have to move one unit in the right direction and 5 units up.

what does the point (1,5) represent

CAN SOMEONE PLS HELP WITH THIS ILL MARK BRAINLIEST

 CAN SOMEONE PLS HELP WITH THIS ILL MARK BRAINLIEST

Answers

Circle 1:

    R- 3cm

    D- 6cm

    C- 18.84cm

Circle 2:

    R- 6in

    D- 12in

    C- 37.68in

Circle 3:

    R- 9mm

    D- 18mm

    C- 56.52mm

your welcome :)

Evaluate the following expression when x=-5 and y=25.
(5|x|-y^(2))/(x)

Answers

vipengele sita vya kuzingatia katika uchanganuzi wa hadithi

When x = -5 and y = 25, the value of the expression is 120.

To evaluate the expression (5|x| - y²)/x when x = -5 and y = 25, replace x and y in the expression with their respective values.

Substitute the values:

(5|x| - y²)/x

= (5|(-5)| - 25²)/(-5)

Simplify the expression:

First, calculate the absolute value of -5:

|(-5)| = 5

Now, plug in the values:

(5|(-5)| - 25²) / (-5)

= (5 × 5 - 25²)/(-5)

Next, evaluate the square of 25:

25² = 25 × 25

= 625

Substitute the result:

(5 × 5 - 625)/(-5)

Now, perform the arithmetic operations inside the parentheses:

(25 - 625) / (-5)

= (-600) / (-5)

= 120

So, when x = -5 and y = 25, the expression evaluates to 120.

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which formula is used to calculate area of trapezium ?​

Answers

Answer:

AB║CD

let a & b be length of parallel sides distance between them is h.

area of trapezium =

1/2 ah + 1/2 bh = 1/2 h ( a + b )

hope this answer helps you.....

When muiltplying two exponents, If the base numbers are DIFFERENT can u add the two exponents?

Answers

Multiplying exponents with different bases
First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same.

Find the value of x. then tell whether the side lengths form a Pythagorean triple

Find the value of x. then tell whether the side lengths form a Pythagorean triple

Answers

Answer:

x = √226

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

In that case, plug in a and b,

15² + 1² = c²

c = √(15² + 1²)

c = 15.0333

This is NOT a Pythagorean triple.

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