The polynomial p(w) = 3w^3 - 20w^2 + 37w - 20 has a known factor of (w-4). Rewrite p(w) as a product of linear factors.

Answers

Answer 1

Answer:

(w - 4)(w - 1)(3w - 5)

Step-by-step explanation:

Using Synthetic division to find the quotient on dividing p(w) by (w - 4)

4 | 3   - 20   37   - 20

            12   - 32    20

   -----------------------------

    3     - 8     5        0 ← remainder = 0

quotient = 3w² - 8w + 5 = (3w - 5)(w - 1)

p(w) = (w - 4)(w - 1)(3w - 5)


Related Questions

12. Solve the inequality 809 >-11 + n.

Answers

Answer: 820>n

Step-by-step explanation:

809>-11+n

Turn into regular equation

809=-11+n

Add 11 to both sides

820=n

Add inequality sign back

820>n

What is the value of 4y when y=-3

Answers

Answer:

-12

Step-by-step explanation:

a positive times a negative is a negative

Uisng the appropriate arithmetic operation, the value of 4y when y = - 3 is - 12.

To obtain the value of 4y, we substitute, the value of y into the equation thus :

4y ; y = - 3

4(-3) = 4 × - 3

4(-3) = - 12

Hence, the value of 4y = - 12

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Solve the inequality: -5x ≥-20 a. x ≤ 4 b. x ≥ -4 c. x≥ 4 d. x ≤ -4

Answers

Answer:

a. x ≤ 4

Step-by-step explanation:

-5x ≥ -20

Divide by -5

-5x / (-5) ≤ -20 / (-5)

x ≤ 4

what is the length of df to the nearest tenth

Answers

Answer:

bro I don't even remember this sorry wish I could help tho

Answer:

8.1 units

Step-by-step explanation: Here is the question?

What is the length of DF¯¯¯¯¯?

Round the answer to the nearest tenth. The link is the picture for the problem if you need it.

The perimeter of a square is 80 cm. What is the area?

Answers

Answer:

A = 400 cm^2

Step-by-step explanation:

The perimeter of a square is given by

P = 4s where s is the side length

80 = 4s

Divide each side by 4

80/4 = 4s/4

20 =s

We want to find the area of the square

A = s^2

A = 20^2

A = 400 cm^2

during the last few months, maria has seen deer in her backyard on 13 days and no deer on 52 days. What is the approximate probability that she will see deer in her yard tomorrow?
A) 0.25
B)1/5
C) 33.3 %
D) 2/3

Answers

Answer:

B) 1/5

Step-by-step explanation:

First you would have to find the total number of days.

52 + 13 = 65

The total number of days is 65.

Reread the question. The question is, "What is the approximate probability that she will see deer in her yard tomorrow?"

She has seen deer in her yard for 13 days, so the equation to figure this out would be:

13 divided by 65 = 0.2 or 1/5

I also took the Quiz and got it correct :)

(If you found this helpful and got it correct please thank, give 5 stars, and comment your feedback if you can so others know it's correct as well.)

The probability of seeing a deer in her yard tomorrow is 1/5, the correct option is B.

What is Probability?

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

Total number of days Maria saw deer is 13 days

Total number of days Maria didn't saw the deer is 52 days

The total number of days is 65

Probability of seeing a deer = Number of days deer was seen / Total          

                                                                                           number of days

Probability = 13/65

Probability = 1/5

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The measure of angle W is 100°, and the measure of angle Z is 68°
What is the measure of angle Y?
12
32
80°
168°

Answers

Answer:

its 32 degrees

Step-by-step explanation:

w is a exterior angle which is the two interior angles sum farthest away from it. so Z+Y=W basically 100-68=32 which is y. y=32

Answer:

c 32

Step-by-step explanation:

Consider the expression 4n3+ 3n2 + 2n + 1. What is the coefficient of n2?

Answers

Answer:

3

Step-by-step explanation:

4n^3+ 3n^2 + 2n + 1.

The coefficient is the number in front of the term

3n^2  the coeffiecient is 3

You have a cylindrical pond that has a diameter of 30 feet and has a depth of 5 feet. If you need to fill the pond one-quarter of the way up with water and water costs $3.25 per cubic foot, how much will you need to spend to fill the pond?

Answers

Final answer:

First, calculate the volume of water needed to fill the pond one-quarter of the way up, then multiply that by the cost per cubic foot to find the total cost, which is approximately $2297.29.

Explanation:

The subject of this question is Mathematics, more specifically, it involves the use of geometry and algebra. The question is asking about the cost of filling a cylindrical pond one-quarter of the way up with water, given the dimensions of the pond and the price of water per cubic foot.

To answer this question, we first need to determine the volume of water needed. Since the pond is cylindrical, we use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height. The diameter is given as 30 feet, so the radius is 15 feet (half the diameter), and we're filling to a depth of 1.25 feet (one-quarter of the 5-foot depth). This gives us a volume of approximately 706.86 cubic feet.

We then multiply this volume by the price of water. At $3.25 per cubic foot, that's a total cost of about $2297.29. So, you would need to spend approximately $2297.29 to fill the pond one-quarter of the way up with water.

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Select all of the following that are quadratic functions.

x = 3y2 – 6y + 5

y + 3 = –2 x 2+ 5

y = 2 x 2 – 8 x + 6

y= –7 x – 4

y – 3 x = 4 x 3 – x2 + 9

y = 5 x(x + 9) – 8

y – 2 x 2 = 3 x – 2 x 2 + 4

Answers

2. y + 3 = -2x^2 + 5

3. y = 2x^2 - 8x + 6

6. y = 5x (x+9) - 8

Final answer:

Out of the given functions, y + 3 = –2 x 2+ 5, y = 2 x 2 – 8 x + 6, y = 5 x(x + 9) – 8 and y – 2 x 2 = 3 x – 2 x 2 + 4 are quadratic functions. They fit the standard quadratic form a*x^2 + b*x + c = y.

Explanation:

A function can be classified as a quadratic function if it can be written in the standard form a*x^2 + b*x + c = y, where a, b, and c are constants and a is not equal to zero. Quadratic functions graph as a parabola.

x = 3y2 – 6y + 5: This is not a quadratic function in y due to its form.y + 3 = –2 x 2+ 5: This is a quadratic function in variable 'x' once rearranged to the standard form.y = 2 x 2 – 8 x + 6: Thus is a quadratic function. It clearly fits the standard form.y= –7 x – 4: This is a linear function in 'x', not quadratic.y – 3 x = 4 x 3 – x2 + 9: This is a cubic function due to the term with x^3, not quadratic.y = 5 x(x + 9) – 8: After expanding the multiplication to get y = 5x^2 + 45x - 8, we can see that it is a quadratic function.y – 2 x 2 = 3 x – 2 x 2 + 4: This is a quadratic function in 'x' once rearranged to the standard form.

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Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the
- foreign language they are studying. Charles first gets class lists of all students taking foreign language classes. He then
chooses 10 students from each different language class to survey. Which best explains why the sample he chose may not be
a representative sample?
The sample size is not large enough to represent the population.
The sample was not chosen at random
The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
The way the sample was chosen does not sample students from each different language class.

Answers

Answer:

The sample was not chosen at random.

Step-by-step explanation:

For it to be a representative sample the selection needs to be completely random.

Answer:

The sample was not chosen random .

Step-by-step explanation:

Valerie said that the GCF of two monomials is 7bc.
What two monomials did she use?

Answers

Answer: B: 35ab^2c AND 7bc^2

Step-by-step explanation:

Final answer:

The monomials must be multiples of 7bc such as 21b^2c and 14bc^2, because the GCF of two monomials is the highest factor that divides both these monomials. GCF in this case is 7bc.

Explanation:

The Greatest Common Factor (GCF) of two monomials is the highest factor that divides both of these monomials. Given that the GCF is 7bc, these two monomials must have 7bc as a factor. Thus, Valerie possibly used any two monomials that are multiples of 7bc.

For example, one answer could be 21b^2c and 14bc^2. Each of these monomials has 7bc as a factor (3b, 2c, and 2b, 2c respectively). There are other possible combinations, as long as they're multiples of 7bc.

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-(9-(m+a));use m =4,p=5,and a=3​

Answers

Step-by-step explanation:

- ( 9 - ( m + a ))

= -( 9 - ( 4 + 3))

= - ( 9 - (7))

= -( 9 - 7)

= - 2

Answer:

-2

Step-by-step explanation:

Open the bracket first

-(9-(m+a))

-(9-m-a)

-9+m+a

So let's substitute the value for the m and a

-9+4+3

Using BODMAS

Addition comes before substration

So

-9+4+3

=-9+7

=-2

So the final answer is-2

Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction

Answers

Final answer:

The correct simplified form is \(\frac{1}{r^7} + \frac{1}{s^{12}}\), with each term representing the reciprocal of the base raised to a positive exponent and kept as separate terms.

Explanation:

The simplified form of r-7 + s-12 is \(\frac{1}{r^7} + \frac{1}{s^{12}}\). The negative exponents indicate that each term is the reciprocal of the base raised to the positive exponent. So, r-7 becomes \(\frac{1}{r^7}\) and s-12 becomes \(\frac{1}{s^{12}}\). Since these are two separate terms, they are not combined together into a single fraction.

Jay won 14 out of the last 20 video games he played. Find the probability of Jay winning the next video game he plays.

Answers

Answer:

0.7 or 70 percent

Step-by-step explanation:

Final answer:

Jay's probability of winning the next game, based on his past record, would be 70%. However, probability doesn't guarantee future outcomes as the future performance depends on various factors.

Explanation:

The question requires us to find out the probability of Jay winning the next video game he plays, given his past record. Jay has won 14 out of the last 20 games, which gives us a winning probability of 14/20 = 0.7 or 70%. Probability assumes the conditions remain the same, it doesn't guarantee that the next outcome will be a win.

However, notice that past performance doesn't necessarily indicate future results, especially in random situations such as a game. The future outcome depends on the conditions of the next game he plays and his performance in it. The past winning record of 70% can be taken as an indication of Jay's skills or chances under similar conditions, but not a certainty for future games.

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Which could be the area of one face of the rectangular prism select three options



23 cm2
24 cm2
44 cm2
48 cm2
66 cm2

Answers

Answer:24 cm2, 66 cm2, 44 cm2

Step-by-step explanation:

24 would be 6x4, 66 would be 11x6, and 44 would be 4x11

Answer:

2,3,5

Step-by-step explanation:

Is it A, B, C, or D, please answer.

Answers

Answer:

B

Step-by-step explanation:

All of the angles have to add up to 180

Hope this helped

:)

Answer:

the answer is B

Step-by-step explanation:

you have to have all of the angles add up to B, that is part of it.

find the exact value of tan(x+y) if csco= 5/3 and cosy=5/13

Answers

Answer:

-63/16

Step-by-step explanation:

csc x = 5/3

sin x = 3/5

So x is the angle in a 3-4-5 triangle, opposite of the 3.

cos y = 5/13

So y is the angle in a 5-12-13 triangle, opposite of the 12.

tan(x + y) = (tan x + tan y) / (1 − tan x tan y)

tan(x + y) = (3/4 + 12/5) / (1 − (3/4)(12/5))

tan(x + y) = (3/4 + 12/5) / (1 − 9/5)

tan(x + y) = (15 + 48) / (20 − 36)

tan(x + y) = -63/16

Recatangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,1), B(3,1),C(3,4), and D(-2,4).What is the area of the rectangle ABCD?

Answers

Answer: 15

Step-by-step explanation:

When you plot the points, it makes a rectangle. The length is 5 units and the height is 3 units. 5 times 3 is 15

Is the number 0.333333 rational or irrational

Answers

Answer:

Rational

please put me as brainliest

Step-by-step explanation:

Here 3 is recurring , so from statement 1) 0.3333 or 1/3 is a rational number. And also 0.3333 is non-terminating as the decimal is not ending or the remainder for 1/3 is not zero

Answer:

Rational

Step-by-step explanation:

0.33333333 terminates (if it's supposed to be 0.[repeating 3] then it's rational because it repeats)

What is this one??
-5-(15y-1)=2(7y-16)-y

Answers

Answer:

y=1

Step-by-step explanation:

Let's solve by opening the bracket first

-5-(15y-1)=2(7y-16)-y

Open the bracket

-5-15y+1=14y-32-y

Collect like terms

-5+1+32=14y-y+15y

-5+33=14y+14y

28=28y

Divide both sides by 28

y=1

Therefore the final answer is 1

Which expression is unidentified -8÷(-8), -8÷8, 0÷8, 8÷0

Answers

Answer:

The last one, 8 / 0

Step-by-step explanation:

The last expression is undefined because in math it is forbidden to divide by zero.

Hope this helps)))

The interior angle of a regular polygon is 115 degrees. What is the exterior angle?

Answers

Answer:

Step-by-step explanation:

exterior angle=180-115=65°

Can someone help me with a and b thank you

Answers

Given:

a) Area = 121 ft²

b) Area = 81 yd²

To find:

The side length of each square

Solution:

a) Area = 121 ft²

Area of the square = s²

⇒ s² = 121

Taking square root on both sides.

[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 121}[/tex]

[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 11^2}[/tex]

Square root and squares get canceled.

s = 11

The length of each side of the square is 11 ft.

b) Area = 81 yd²

Area of the square = s²

⇒ s² = 81

Taking square root on both sides.

[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 81}[/tex]

[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 9^2}[/tex]

Square root and squares get canceled.

s = 9

The length of each side of the square is 9 yd.

0.42 with repeating 2, as a fraction.

Answers

answer is 14/33 i think
The answer is 14/33 for sure

Use the original price and the markup to find the retail price. Original price: $64; Markup: 20%

Answers

Answer:

$76.80

Step-by-step explanation:

When a product has a certain markup, you need to multiply the markup by the price of the product, and then add that to the original price of the product. 20%=0.2, and 0.2*64=12.8. Adding this to the original price, you get 64+12.8=$76.80. Hope this helps!

Answer:

$76.8

Step-by-step explanation:

64 x .2 = 12.8

64 + 12.8 = 76.8

Feel free to let me know if you need more help. :)

Find the volume of the pyramid

Answers

Answer:1.333

Step-by-step explanation:use the formula (l)(w)(h/3). L=2. H=2. W=1

The answer is 1.333 have a nice day

Which expression is equivalent to 12^4(x-3)(x+5)/30x(x+3)(x+5)

Answers

Answer:

x+5

Step-by-step explanation:

Answer:

[tex]$\frac{3456\left(x-3\right)}{5x\left(x+3\right)}$[/tex]

Step-by-step explanation:

[tex]$ \frac{12^4(x-3)(x+5) }{30x(x+3)(x+5)} $[/tex]

[tex]$\frac{12^4\left(x-3\right)}{30x\left(x+3\right)}$[/tex]

[tex]$\frac{2^8\cdot \:3^4\left(x-3\right)}{2\cdot \:3\cdot \:5x\left(x+3\right)}$[/tex]

[tex]$\frac{2^7\cdot \:3^3\left(x-3\right)}{5x\left(x+3\right)}$[/tex]

[tex]$\frac{3456\left(x-3\right)}{5x\left(x+3\right)}$[/tex]

I need an answer asap please

Answers

Blue y=15,000(0.92)x

Help now plsssssssssssssssssssssssssssssssssssssss

Answers

Answer:

I think its A

Step-by-step explanation:

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