xa³+ ya² + za = 0


In the equation above, x, y, and z are constants. If the equation has roots -6, 0, and 4, which of the following is a factor of xa³+
ya² + za ?

Answers

Answer 1

The factor of  the equation xa³ + ya² + za is (a + z).

If the equation xa³ + ya² + za = 0 has roots -6, 0, and 4, we can use these values to find a factor of the expression.

Substituting -6 into the equation:

(-6)a³ + y(0)² + z(-6) = 0

-6a³ - 6z = 0

Dividing the equation by -6:

a³ + z = 0

Similarly, substituting 0 and 4 into the equation:

(0)a³ + y(0)² + z(0) = 0

4a³ + 4z = 0

Dividing by 4:

a³ + z = 0

From the above equations, we can see that a³ + z = 0 for all three roots -6, 0, and 4.

Therefore, the factor of xa³ + ya² + za is (a + z).

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Related Questions

HELP ASAP

The width of a rectangle measures (8x + 2) centimeters, and its length measures (6x + 6) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?​

Answers

Answer: 28x+16

Step-by-step explanation:

Cameron’s friends tells him of another service that has a 15$ joining fee but charges $0.80 per song. At what number of songs does this new service become a less expensive option than Cameron’s current service

Camerons friends tells him of another service that has a 15$ joining fee but charges $0.80 per song.

Answers

Based on Cameron's current music service fees, the number of songs that would make the new service a less expensive option is 101 songs

What number makes the service less expensive?

The expression for the new service assuming the number of songs is x is:

= 15 + 0.80x

The expression for Cameron's current service is:
= 0.95x

Equating them gives:

0.95x = 15 + 0.8x

0.95x - 0.8x = 15

0.15x = 15

x = 100 songs

The cost will be the same at 100 songs so the new service would be cheaper at 101 songs.

First part of question:

Cameron pays $0.95 per song with his current music service.

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Convert 4,700,000,000 from standard form to scientific notation. 470 × 107 47 × 108 4.7 × 109 478

Answers

Answer:

4.7 * 10 ^9

Step-by-step explanation:

4,700,000,000

Scientific notation is of the form

a * 10 ^b  where a is a number between 1 and less than 10

Move the decimal so that it is a number between 1 and less than 10

4,700,000,000  becomes 4.700000000  and we moved the decimal 9 places to the left  b is +9  ( positive because we moved to the left)  We can drop the extraneous zeros

4.7 * 10 ^9

I neeeeeeeeeeeeeeeeeedddddd helpppp!
Question: A shipment of 288 reams of paper was delivered. Each of the 30 classrooms received an equal share of the paper. Any extra reams of paper were stored After the paper was distributed to the classrooms, how many reams of paper were stored?

Answers

Answer:

18

Step-by-step explanation:

288/30=9 288-270= 18 9×30=270

what is the answer to 1/3=n+3/4

Answers

Answer: n=-5/12

Step-by-step explanation: 1/3-3/4=-5/12

hoped this helped :))

Answer: n= 5/12

Step-by-step explanation: 13=+3413=n+3431​=n+43​13−34=+34−34

Hope this helps!

Select the statement below that is true about correlations.A. Correlations can only be negativeB. Correlations are a measure of how much one variable changes as the other variable changesC. Correlations are a measure used to determine the degree to which two variables are related.D. Correlations are a measure of causation between two variablesE. A negative correlation implies no relationship between variablesF. Correlations can only be positive

Answers

The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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help me with my math for brainiest:)

help me with my math for brainiest:)

Answers

Answers:
1. P=3

Step by step:
P-5=-2 -move the constant to the right hand side and change its sign

P=-2+5 - calculate the sum

P=3


2. W=-2.8

Step by step:
W+13.2=10.4 - move the constant tot he right hand side and change its sign

W=10.4-13.3 - calculate the difference

W=-2.8

3. X=2/3

Step by step:
X-5/6=-1/6 - move the constant to the rig hand side and change its sign

X=-1/6+5/6 - calculate the sum

X=2/3


What I Have Learned?
Part 1
Direction. Determine whether each system of linear equations is consistent and
dependent, consistent and independent, or inconsistent. Answer on the
separate sheet
(2x+y = 3
12x + y = 6
3.
(6x-27=
2y 8
ly=3x – 4
1.
4.
3x + y = 10
4x + y - 7
(3x + 5y = 15
14x - 7y = 10
2.
1 ​

Answers

Step-by-step explanation:

What I Have Learned?

Part 1

Direction. Determine whether each system of linear equations is consistent and

dependent, consistent and independent, or inconsistent. Answer on the

separate sheet

(2x+y = 3

12x + y = 6

3.

(6x-27=

2y 8

ly=3x – 4

1.

4.

3x + y = 10

4x + y - 7

(3x + 5y = 15

14x - 7y = 10

2.

1

A "rotated" square is placed on a coordinate plane and two adjacent corners of the square are located at (−4,−8) and(2,-1).

What is the side length of the square?

units

What is the area of the square?

square units

Answers

The side length of the rotated square is 9.22 units, and the area of the square is 85 square units.

To find the side length of the square, we can use the distance formula between two points in a coordinate plane. The distance formula is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the coordinates of the two adjacent corners of the square are (-4, -8) and (2, -1). Let's calculate the distance between these two points:

d = √((2 - (-4))² + (-1 - (-8))²)

 = √((2 + 4)² + (-1 + 8)²)

 = √(6² + 7²)

 = √(36 + 49)

 = √85

 ≈ 9.22

Therefore, the side length of the square is approximately 9.22 units.

To find the area of the square, we can use the formula:

Area = side length²

Plugging in the side length we calculated earlier:

Area = 9.22²

    ≈ 85 square units

Thus, the area of the square is approximately 85 square units.

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Zane's cats love tuna fish, so he always mixes a little into their food at dinnertime. For his small cat, he adds 2 ounces of tuna fish to 10 ounces of cat food. For his large cat, he adds 3 ounces of tuna fish to 12 ounces of cat food. Which cat's meal tastes more like tuna fish?

Answers

Large cat's meal tastes more like tuna fish

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Zane's cat loves tuna fish

so he adds 2 ounces of tuna fish to 10 ounces of cat food for small cat

and he adds 3 ounces of tuna fish to 12 ounces of cat food for large cat

to know whose meal tastes as tuna fish calculate their percentages

for small cat 2% is added to 10%

that means (2/12)*100=16.6

for large cat 3% is added to 12%

that means (3/15)*100=20

by this we can conclude that, large cat's meal tastes more like tuna fish

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Four times a number decreased by 5 is 67. Find
the number…

Answers

Answer:

288

Step-by-step explanation:

Do the reverse.

67+5= 72

72*4= 288.

hope this helped :)

Solve for x
-8+ 3x-29
Simplify your answer as much as possible. ​

Answers

Your answer is 3x-37

Which of the following is not a correct description of the graph of the function (photo below)

Which of the following is not a correct description of the graph of the function (photo below)

Answers

Answer:

the answer is d

Step-by-step explanation:

hope this helps

Sarafina had 34 out of 99 hits when she was at bat during the soft ball season. What was her batting average? (use bar notation if needed)

WILL GIVE BRAINLY

SHOW WORK

Answers

Answer:

34%

Step-by-step explanation:

34/99÷1/100=

34/99×1/100=

17/99×1/50=

17/4959=34%

the ratio of the surface areas of two similar cylinders is 4/25. the radius of the circular base of the larger cylinder is 0.5 centimeters. what is the radius of the circular base of the smaller cylinder? drag a value to the box to correctly complete the statement.

Answers

Answer:

.2 Cm

Step-by-step explanation:

there are 13 left-handed and spirals on the cacti what is special about these numbers

Answers

The numbers 13, left-handedness, and spirals on cacti hold some interesting characteristics and connections.

How to explain the information

In various cultures and belief systems, the number 13 is often considered to be significant or symbolic. Some see it as unlucky, while others view it as a number of transformation or completion. For example, there are 13 lunar cycles in a year, and in some traditions, 13 is associated with the Goddess and feminine energy.

Left-handedness refers to a preference or dominance for using the left hand over the right hand. It is relatively less common than right-handedness in humans, with only about 10% of the population being left-handed. Left-handedness has often been associated with uniqueness, creativity, and different ways of thinking.

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A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat.Find the bat's wholesale cost.

A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat.Find the bat's

Answers

We can find the bat's wholesale cost by working backwards -

Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.

Therefore, the wholesale cost of the bat is $8.


Happy to help!

Answer:

The bat's wholesale cost is $8

Step-by-step explanation:

You first have to subtract 9 from 41 as that will be 4 times the wholesale cost, which is $32. Then you have to divide 32 by 4, as we want to get the wholesale cost, not 4 times of the wholesale cost, and this would give us the wholesale cost, which is $8.

PLEASE HELP ME WITH FUNCTIONS I REALLY NEED IT

PLEASE HELP ME WITH FUNCTIONS I REALLY NEED IT

Answers

Answer:

D

Step-by-step explanation:

Range is on the y-axis & Domain sits on the x-axis

The image below is an example of what construction?

The image below is an example of what construction?

Answers

Answer:

a regular hexagon

Step-by-step explanation:

6 corners

Question 1
Look at the equation below.
ICO
n =
10

5
What value of n will make this equation correct?
A
6
25
B
3
8
c
1
2
8
D

Answers

Answer:

i beileve its A but wait for more answers to see

Step-by-step explanation:

Which of the following statements is not true about chi-square distributions? The mean decreases as the degrees of freedom increase. OPG? < 0) = 0 O PU2 > 3) is larger for a chi-square distribution with df = 10 than for df = 1 There are an infinite number of chi-square distributions, depending on degrees of freedom. They are always skewed to the right Previous Only saved at 4:44pm

Answers

The statement "The mean decreases as the degrees of freedom increase" is not true about chi-square distributions.

Is it true that the mean of a chi-square distribution decreases as the degrees of freedom increase?

In fact, the mean of a chi-square distribution is equal to its degrees of freedom. It does not decrease as the degrees of freedom increase.

The mean remains constant regardless of the degrees of freedom. This is an important characteristic of chi-square distributions.

Regarding the other statements:

The statement "OPG? < 0) = 0" is true. The probability of a chi-square random variable being less than zero is always zero, as chi-square values are non-negative.The statement "OPU2 > 3) is larger for a chi-square distribution with df = 10 than for df = 1" is true. As the degrees of freedom increase, the right-tail probability of a chi-square distribution also increases.The statement "There are an infinite number of chi-square distributions, depending on degrees of freedom" is true. The number of chi-square distributions is infinite because the degrees of freedom can take any positive integer value.The statement "They are always skewed to the right" is generally true. Chi-square distributions tend to be skewed to the right, especially when the degrees of freedom are small.

In summary, the statement that is not true about chi-square distributions is that the mean decreases as the degrees of freedom increase.

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the profit function for a certain commodity is p(x) = 130x − x2 − 1000. find the level of production that yields maximum profit, and find the maximum profit. x = units p = $

Answers

The level of production that yields the maximum profit is 65 units, and the maximum profit is $3225. To get the level of production that yields maximum profit and the maximum profit for the commodity with the profit function p(x) = 130x - x^2 - 1000, follow these steps:


Step 1: Determine the derivative of the profit function with respect to x.
p'(x) = d(130x - x^2 - 1000)/dx = 130 - 2x
Step 2: Set the derivative equal to zero to find the critical points.
130 - 2x = 0
Step 3: Solve for x to find the level of production.
2x = 130
x = 65 units
Step 4: Evaluate the profit function at the critical point to find the maximum profit.
p(65) = 130(65) - 65^2 - 1000 = 8450 - 4225 - 1000 = $3225
The level of production that yields the maximum profit is 65 units, and the maximum profit is $3225.

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Negative air pressure created by an air pump makes a vacuum cleaner able to collect air and dirt into a bag or other container. Below are several readings from a pressure gauge. Write rational numbers to represent each of the readings, and then order the rational numbers from least to greatest.

Gauge Readings ( pounds per square inch )
25 psi pressure
13 psi vacuum
6.3 psi vacuum
7.8 psi vacuum
1.9 psi vacuum
2 psi pressure
7.8 psi pressure
Pressure readings ( pounds per inch) answers:

Answers

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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BRAINLISRST AND EXTRA POINTS I NEEDS I HELP

A study found that a car
depreciates 12% per year. If the
car was purchased for $15,000, how
much is it worth after 4 years?

Answers

Answer:

7800

Step-by-step explanation: :)

use the definition of the laplace transform to find l{f(t)}. (enter your answer in terms of s.) f(t) = t, 0 ≤ t < 1 2 − t, t ≥ 1

Answers

Answer:

The Laplace transform of f(t) is (3/s^2) e^(-s) - (2/s) + (1/s^2).

Step-by-step explanation:

We use the definition of the Laplace transform:

L{f(t)} = ∫[0,∞) e^(-st) f(t) dt

For f(t) = t, 0 ≤ t < 1, we have:

L{t} = ∫[0,1] e^(-st) t dt

Integrating by parts with u = t and dv = e^(-st) dt, we get:

L{t} = [-t*e^(-st)/s] from 0 to 1 + (1/s) ∫[0,1] e^(-st) dt

L{t} = [-e^(-s)/s + 1/s] + (1/s^2) [-e^(-s) + 1]

L{t} = (1/s^2) - (e^(-s)/s) - (1/s) + (1/s^2) e^(-s)

For f(t) = 2-t, t ≥ 1, we have:

L{2-t} = ∫[1,∞) e^(-st) (2-t) dt

L{2-t} = (2/s) ∫[1,∞) e^(-st) dt - ∫[1,∞) e^(-st) t dt

L{2-t} = (2/s^2) e^(-s) - [e^(-st)/s^2] from 1 to ∞ - (1/s) ∫[1,∞) e^(-st) dt

L{2-t} = (2/s^2) e^(-s) - [(e^(-s))/s^2] + (1/s^3) e^(-s)

Combining the two Laplace transforms, we get:

L{f(t)} = L{t} + L{2-t}

L{f(t)} = (1/s^2) - (e^(-s)/s) - (1/s) + (1/s^2) e^(-s) + (2/s^2) e^(-s) - [(e^(-s))/s^2] + (1/s^3) e^(-s)

L{f(t)} = (3/s^2) e^(-s) - (2/s) + (1/s^2)

Therefore, the Laplace transform of f(t) is (3/s^2) e^(-s) - (2/s) + (1/s^2).

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find the area of given trapezium which save height is 3 cm and p1 is 12 cm and p2 is 24 cm​

Answers

Answer:

Hope the picture will help you.......

find the area of given trapezium which save height is 3 cm and p1 is 12 cm and p2 is 24 cm

a. a school has 100 business majors, 60 math majors, and 40 psych majors. every student at the school belongs to one and only one of these majors. three different students are chosen to be interviewed for a focus group. how many ways are there to choose this focus group where all three students do not all come from the same major?

Answers

There are 1,108,600 ways to choose a focus group of three students where all three students do not come from the same major.

Combination formula:

C(200, 3) = 200! / (3! × 197!)

= 1313400

Number of ways to choose three students who all come from the same major.

Business: C(100, 3) = 161700

Math: C(60, 3) = 34220

Psych: C(40, 3) = 9880

So the total number of ways to choose three students who all come from the same major

= 161700 + 34220 + 9880

= 204800

Subtract this from the total number of ways to choose three students to get the number of ways to choose three students where they don't all come from the same major

= 1313400 - 204800

= 1108600

Therefore, in 1108600 ways they can choose the focus group

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Complete the square for the expression. Also, identify the resulting expression as a binomial squared. X2 + 15x + ____.

Answers

The completed square of the expression is  x² + 15x + 225/4  and the expression as binomial squared is  (x + 15/2)²  .

In the question ,

it is given that ,

the expression s given as x² + 15x + 225/4 ,

we have to complete the expression,

Dividing 15 by 2 , = 15/2

writing 15/2 as a power of 2 , (15/2)² = 225/4

the completed equation is X2 + 15x + 225/4  .

and the binomial squared of the expression is (x + 15/2)²

Therefore , the expression is  x² + 15x + 225/4  and binomial squared is (x + 15/2)²  .

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Determine the domain of the following graph

Answers

Answer:

this pretty vauge, next time just add a pic of the graph

In which quadrant angle k lies, if tan k<0, an csc k >
Your answer:
A. Q11
B. Ql
C. QV
D. QIII

Answers

Answer:

A. QII.

Step-by-step explanation:

The tan < 0 in Quadrants 2 and 3.

The csc > 0 in Quadrants  1 and 2.

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Ralph is a 70-year-old retired fireman with no dependents. He wants to invest in an annuity that will produce a steady stream of income that begins now and continues throughout his life. He has $175,000 to invest and wants to receive the most income he can every month. Which of the following is the most suitable annuity for Ralph based on his objectives?A fixed income annuity with a 10 year term certain.A variable annuity with a guaranteed death benefit.A longevity annuity.An immediate, single-premium life annuity. In C4 (Carbon 4) pants, phosphenolpyruvate (PEP) reacts with carbon dioxide to directly generate following compound in mesophyll cell.a. ATPb. GTPc. oxygend. oxaloacetate Which of the following is NOT part of the typical Process? Pick underwriter Fire the current CEO * File prospectus and register with the SEC Board approval You take out a loan for $1,000 with 4% annual interest. This loan has to be paid in 5 equal payments. How much of the third annual payment will go towards paying down the principal? $150 $100 $200 $50 The organizing structure of a composition, whether it is very simple or very complex, is known as musical 3. What advice does the author offer with regards to repeatingoneself? an external event, rather than the independent variable, changes scores of the dependent variable. press space to open participants show spontaneous change. press space to open the thought of treatment, rather than the treatment itself, causes participants to report changes. press space to open participants leave a study in a systematic way. press space to open groups vary systematically on traits other than the levels of the independent variable. 1.What happens when non-metals react with oxygen? 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