Need help with polynomials multiplyingCould you help with Number 6 and 7

Need Help With Polynomials MultiplyingCould You Help With Number 6 And 7

Answers

Answer 1

We are given the following polynomial

\((x+3)(3x-1)(x-5)_{}\)

Let us multiply and simplify the polynomial.

First, multiply any two parentheses and simplify

\((x+3)(3x-1)(x-5)_{}=(x\cdot3x+x\cdot-1+3\cdot3x+3\cdot-1)(x-5)_{}=(3x^2-x+9x-3)(x-5)=(3x^2+8x-3)(x-5)\)

Now, multiply the remaining two parentheses

\((3x^2+8x-3)(x-5)=3x^2\cdot x+3x^2\cdot-5+8x\cdot x+8x\cdot-5-3\cdot x-3\cdot-5=3x^3-15x^2+8x^2-40x-3x+15=3x^3-7x^2-43x+15\)

Therefore, the expanded polynomial is

\(3x^3-7x^2-43x+15\)


Related Questions

The price of an item has dropped to 27$ today. Yesterday it was 90. Find the percentage decrease

Answers

The percentage decrease would be 70 percent.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The price of an item has dropped to 27$ today. Yesterday it was 90.

90 - 27 = 63

The percentage decrease;

63 / 90 x 100= 70%

Hence, The percentage decrease would be 70 percent.

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round 427963 to the nearest thousand

Answers

Answer:

428,000

Step-by-step explanation:

427,963

If the number behind what number you're trying to round is greater than 4 then the number you're rounding goes up once while everything behind it goes to zero. If it's below 5 than the it well stay the same. Ex. Round nearest tenth--> 14--->10  instead of it going up to 20 it stays 10.

427,963

      ^

This number is higher than 4 so the number in front or the thousand mark goes up a number.

428,000

Someone else already answered so I figured I'll tell you how to round it, hope this helps.

A tune up automotive facility marks up its part by 25% suppose that the facility charges its customers $1.75 for each spark plug it's sells which is the facility cost for each spark plug?

Answers

Answer:

$1.4

Step-by-step explanation:

wat factor of 26 is between 4 and 26

Answers

Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

Final answer:

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

Explanation:

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

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What is an equation of the line that passes through the points (-7, 7) and (3, 7)(

Answers

Answer:

y=7

Step-by-step explanation:

The slope is (7-7)/(3+7) = 0. So, the line is a horizontal line.

The y value of both points is 7.

PLEASE HELP WITH THIS ONE QUESTION

PLEASE HELP WITH THIS ONE QUESTION

Answers

The answer to this question is 7 days

6 / 3/5 ITS FOR A 20 PIONT

Answers

Answer:

10

Step-by-step explanation:

I'm guessing you meant this, but tell me if I'm wrong and I'll fix it

6 / (3/5)

6 * 5/3

30/3

=10

Hope it helped!

Answer:

thanks

Step-by-step explanation:

Select the 3 options below that are equal in value. For example, if one of the terms
equals 0.85, so do the other two.

sample size
area under the curve
proportion
probability

Answers

One of the terms equals 0.85, so do the other two:

sample size

proportion

probability

How can sample size be determined?

to calculate the sample size in five easy steps

Define population size or total population.Indicate your error margin.You should assess your level of confidence.Calculate the anticipated variance.finalize the size of your sample

Calculating sample size requires knowledge of or estimation of three or four factors:

the effect size (often the difference between two groups); the population standard deviation (for continuous data); the required power of the experiment to detect the supposed effect; the significance threshold.

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linearise cos^5(x). Help asap please
use exponential

Answers

Answer:

Step-by-step explanation:

To linearize the function cos^5(x), we can use the following identity:

cos^5(x) = (cos^2(x))^2 * cos(x) = (1 - sin^2(x))^2 * cos(x)

Now, we can use the identity e^(ix) = cos(x) + i sin(x) to rewrite the expression as follows:

(1 - sin^2(x))^2 * cos(x) = ((1 - e^(ix) * e^(-ix))/2)^2 * (e^(ix) + e^(-ix))/2

= (1/16) * (e^(4ix) - 4e^(2ix) + 6 - 4e^(-2ix) + e^(-4ix))

This expression is now linear in terms of e^(ix) and e^(-ix). Therefore, we have linearized the function cos^5(x) as:

(1/16) * (e^(4ix) - 4e^(2ix) + 6 - 4e^(-2ix) + e^(-4ix))

Find the rank of the matrix [
2 − 1 − 3 − 1
1 2 3 − 1
1 0 1 1
0 1 1 − 1
]

Answers

The rank of the matrix is 3, since there are three linearly independent rows.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.

To find the rank of the matrix:

[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]

We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.

\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)

This gives us the following matrix:

[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]

We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.

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Geometry need help asap

Geometry need help asap

Answers

On solving the provided question, we can say that -  here in quadrilateral we have x + 146 + 47 + y = 360 => \(x= 83.5\)

what is quadrilateral?

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here,

x + 146 + 47 + y = 360

2x + 193 = 360

2x = 167

\(x= 83.5\)

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hbgvfcdbfvnhjmkhbgtfr

hbgvfcdbfvnhjmkhbgtfr

Answers

Answer:

C

Step-by-step explanation:

84 - (15+13)/4

84 - 28/4

56/4

14

Answer:

14

Step-by-step explanation:

84-(15+13)

84-(28)=56

56/4 = 14

FIRST TO ANSWER CORRECTLY GETS BRAINLIEST

FIRST TO ANSWER CORRECTLY GETS BRAINLIEST

Answers

Answer:

d

Step-by-step explanation:

2*4.5=9

scale1:30

=9*30 =270

Convert to actual scale based on proportion of 1:30

4.5 x 30 = 135 inches

2 x 30 = 60 inches

135 x 60 = 8100 inches^2 though we need this in feet and because we solved for area we need to divide by 12in^2*12in*^2

8100/144 = 56.25 or roughly 56 ft^2

I hope this helps! Let me know if you have any questions. Have a very nice day/night :).

order of operations (pemdas) question (8 + 7) ÷ 3

Answers

Answer:

Step-by-step explanation:

(8 + 7) ÷ 3

15 ÷ 3

= 3

The answer would be 5

(8+7)=15
15/3=5

Lauren hiked 16,900 feetin the morning and 14850 feet in the afternoon. Estimate the total number of miles Lauren hiked that day.

Answers

Answer: 6 miles!

Step-by-step explanation:

There are 5280 ft in a mile (you can remember this by saying five to-mat-os haha). In total, Lauren walked 16,900+14,850= 31,750 ft. To find how many miles she hiked you would simply divide by 5,280. I plugged this division problem into my calculator and got about 6 miles.

you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement

Answers

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

what is the solution: y=x and y=-x+4

Answers

Answer:

(2, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Coordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x

y = -x + 4

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                x = -x + 4[Addition Property of Equality] Add x on both sides:                                    2x = 4[Division Property of Equality] Divide 2 on both sides:                                x = 2

Step 3: Solve for y

Define original equation:                                                                                y = xSubstitute in x:                                                                                                y = 2

Find the value of n in each of the following proportions.

1. 18/n = 21/28

2. 12/16 = n/64​

Answers

Answer:

24

Step-by-step explanation:

18/n = 21/28                    You can cancel, but calculators make that unnecessary.   Cross multiply

21n = 18 * 28

21n = 504                         Divide by 21

n = 504 / 21

n = 24

==================

12/16 = n / 64                    Cross Multiply

16n = 12 * 64

16n = 768                         Divide by 16

n = 768/16

n = 48

HELP ME!!!!
ZEARN!!!!!!!!!

HELP ME!!!!ZEARN!!!!!!!!!

Answers

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

x/3-1/2=5/6 solve for the variable

Answers

Answer:

4/3 - 1/2= 5/6 hope this helped

Try These questions out and I’ll give you brainliest

Try These questions out and Ill give you brainliest

Answers

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

What are algebraic expressions?

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

BracketParenthesesAdditionMultiplicationDivisionSubtraction

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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Differentiate the following four levels of measurement and give an example of each: nominal, ordinal, interval and ratio.
-Nominal: a level of measurement describing a variable that has attributes that are merely different, as distinguished from ordinal, interval, or ratio measures. Gender is an example.
-Ordinal: a level of measurement describing a variable with attributes we can rank-order along some dimension. An example is socioeconomic status as composed of the attributes high, medium, and low.
-Interval: a level of measurement describing a variable whose attributes are rank-ordered and have equal distances between adjacent attributes. There is however, no "true" zero point. Like the difference in temperature.
-Ratio: a level of measurement describing a variable with attributes that have all the qualities of nominal, ordinal, and interval measures and in addition are based on a "true zero" point. Ex. Number of children you have, makes sense to have a zero

Answers

The process of associating numbers with physical quantities and phenomena. Measurement is used in our day-to-day life

Nominal: A level of measurement describing a variable that has attributes that are merely different, as distinguished from ordinal, interval, or ratio measures.

Gender is an example.

Ordinal: A level of measurement describing a variable with attributes we can rank-order along some dimension.

An example is socioeconomic status as composed of the attributes high, medium, and low.

Interval: A level of measurement describing a variable whose attributes are rank-ordered and have equal distances between adjacent attributes. There is however, no "true" zero point. Like the difference in temperature. An example will be the measuring temperature.

Ratio: A level of measurement describing a variable with attributes that have all the qualities of nominal, ordinal, and interval measures and in addition are based on a true zero point. An example will be Number of children you have, makes sense to have a zero

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Write an equation of the line that passes through (-3, 3) and is perpendicular to the line 2y = 8x - 6.

Answers

Answer:

2y = 8x - 6

2y/2 = 8x/2 - 6/2

y = 4x - 3

y = -1/4x + 3

89.80 divided 4 plz help٩(๑❛ᴗ❛๑)۶

Answers

Answer:

22.45

Step-by-step explanation:

Answer:

89.80 divided by 4 is 22.45

Step-by-step explanation:

im just cool

Sara receives a 10% commission on the first $4000 in sales and 15% on all sales beyond $4000. If Sara receives a commission of $2530, how much did she sell?

Answers

Answer:

Step-by-step explanation:

$4000(0.10) = $400

which is less than her paid commission

so we know that she sold more than $4000 worth

if s is sales above $4000

$2530 = 400 + 0.15s

$2130 = 0.15s

s = $14200

so total sales x is

x = $4000 + $14200 = $18200

How do you subtract a fraction?

Answers

Answer: It's easy.

Step-by-step explanation: When the denominators of the two fractions you're subtracting are the same, in your answer they should also stay the same. Just subtract the numerators [top numbers].

When the denominators are not the same, if you can simplify the denominators so they can be the same number, do it.

For example: 2/4 - 1/2

Change 2/4 to 1/2 so that the equation turns into 1/2 - 1/2.

heidi claims that the prime viewing plan is the most expensive without purchasing additional movies. do you agree or disagree with heidi's claim?​

Answers

Answer:

disagree

Step-by-step explanation:

purchasing extra movies = spend more money

Answer:

agree

Step-by-step explanation:

For a population with a mean of f = 40 and σ= 12, find the z-score for each of the following
X values.

X = 45: z =
X = 52: z =
X = 41: z =
X = 30: z =
X = 25: z =
X = 38: z =

Answers

The z-scores for the given X values are approximately:

X = 45: z ≈ 0.4167

X = 52: z = 1

X = 41: z ≈ 0.0833

X = 30: z ≈ -0.8333

X = 25: z ≈ -1.25

X = 38: z ≈ -0.1667

To find the z-score for each X value given a population with a mean (μ) of 40 and a standard deviation (σ) of 12, we can use the formula:

z = (X - μ) / σ

where X is the given value, μ is the population mean, and σ is the population standard deviation.

Let's calculate the z-scores for each X value:

X = 45:

z = (45 - 40) / 12 = 5 / 12 ≈ 0.4167

X = 52:

z = (52 - 40) / 12 = 12 / 12 = 1

X = 41:

z = (41 - 40) / 12 = 1 / 12 ≈ 0.0833

X = 30:

z = (30 - 40) / 12 = -10 / 12 ≈ -0.8333

X = 25:

z = (25 - 40) / 12 = -15 / 12 ≈ -1.25

X = 38:

z = (38 - 40) / 12 = -2 / 12 ≈ -0.1667

Therefore, the z-scores for the given X values are approximately:

X = 45: z ≈ 0.4167

X = 52: z = 1

X = 41: z ≈ 0.0833

X = 30: z ≈ -0.8333

X = 25: z ≈ -1.25

X = 38: z ≈ -0.1667

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if ⅚ of a certain number is -6⅔. what is the number?​

Answers

The answer would be -3 4/3

Step-by-step explanation:

ok ok ok ok I'm very sorry if i get it wrong at least I tried on this app most of the people don't even do the homework they do it to cheat.

Answer:

Dan and Paul share some money in the ratio 13:5.

Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.

How much did Paul originally have

URGENT! PLEASE HELP!

URGENT! PLEASE HELP!

Answers

Answer:

Let's define the East as the x-axis, and the North as the y-axis

Now we can write the speed of the plane as:

(Vx, Vy)

Such that the total velocity of the plane is 350mph

This means that, if the plane flies at an angle of A degrees from the East, then:

Vx = 350mph*cos(A)

Vy = 350mph*sin(A)

We know that the speed of the wind is 65mph at 43° North from East.

This velocity, (Wx, Wy), can be written in components as:

Wx = 65mph*cos(43°) = 47.54 mph

Wy = 65mph*sin(43°) = 44.33 mph

Now, when the plane flies with the wind, the velocity of the plane will be equal to the velocity of the plane plus the velocity of the wind.

This is:

Velocity = (Vx, Vy) + (Wx, Wy) = (Vx + Wx, Vy + Wy)

The plane wants to keep going to the East, then the y-component must vanish (remember that the y-component is the one associated with the North)

Then we must have that:

Vy + Wy = 0

replacing the correspondent values, we have:

 350mph*sin(A) + 44.33 mph = 0

350mph*sin(A) = -44.33 mph

Sin(A) = -44.33 mph/350mph

A = Arcsin(-44.33 mph/350mph) = -7.27°

This means that the plane must fly at -7.27° degrees North of East (Or 7.27° South of East)

That is the direction at which the plane must fly.

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