URGENT! Quarter ends tonight!

Write the polynomial function, in standard form, that has zeros -3, 4, and 1.

URGENT! Quarter Ends Tonight!Write The Polynomial Function, In Standard Form, That Has Zeros -3, 4, And

Answers

Answer 1

Answer: [tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 11x + 12 = 0

Step-by-step explanation:

Since the zeros of the polynomials are -3 , 4 and 1 , then the equation will be in the form:

(x+3)(x-4)(x-1) = 0

Expanding (x+3)(x-4) , we have

[tex]x^{2}[/tex] - 4x + 3x - 12

⇒[tex]x^{2}[/tex] -x - 12

combining with (x-1) , we have

([tex]x^{2}[/tex] -x - 12) ( x -1 ) = 0

expanding , we have :

[tex]x^{3}[/tex] - [tex]x^{2}[/tex]-[tex]x^{2}[/tex] + x - 12x + 12 = 0

⇒[tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 11x + 12 = 0


Related Questions

es -
Two linear functions of x are shown.
Which statement about the functions is true?
Function 2 can be described by the equation y= 25x - 100.
Function 2 can be described by the equation y = 13x - 11.
The y-intercept of function 1 is less than the y-intercept of function 2.
Rate of change of function 2 is less than the rate of change of function 1.

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

THE ANSWER D ON USATESTPREP

7y+3=4y−18

y = ___
(type your answer as a number)

Answers

7y-4y=-18-3
3y=-21
y=-21/3
➡️y=-7⬅️

Answer:

y = -7

Step-by-step explanation:

To solve for 'y', we need to isolate it, meaning to separate it from everything else. You move numbers in the equation around by canceling them out, which you do with opposite or reverse operations. (Addition and subtraction are opposites. Division and multiplication are opposites).

First, bring all of the numbers with 'y' to the left, and bring all of the numbers without 'y' to the right. Then isolate y.

7y + 3 = 4y - 18              Move 'y' to the left.

7y - 4y + 3 = 4y - 4y - 18     Subtract 4y from both sides.

7y - 4y + 3 = -18          Notice 4y - 4y cancelled out. Combine like terms on the left. 7y and -4y both have 'y'.

3y + 3 = -18                Move the numbers to the right.

3y + 3 - 3 = -18 - 3      Subtract 3 from both sides.

3y = -18 - 3             +3 and -3 cancelled out. Combine like terms on right.

3y = -21                 Cancel out the '3' attached to 'y'.

3y/3 = -21/3         Divide both sides by 3.

y = -21/3              3y/3 becomes just 'y' because 3 ÷ 3 is 1.

y = -7                  Answer for y.

Please help!!
What is the location of the point on the number line that is 4/9 of the way from
A= -8 to B = 10?
Ο Α. 0
OB. 2
O c. -2
O D. -1

Answers

Answer:

Α. 0

Step-by-step explanation:

Given A = -8 and B = 10

The distance between A and B

= B - A

= 10 - (-8)

= 10 + 8

= 18 units

4/9 of the way between A and B

= 4/9 of the distance between A and B

= 4/9 x 18 units

= 8 units.

Hence the location of the point that is 4/9 of the way from A to B

= value at point A + 8 units

= -8 + 8

= 0 (answer)

A. 0

Step-by-step explanation:

The answer is 0 (zero)

how can u use volume and surface area to solve real world problems

Answers

Answer:

You could use surface area to find the amount of wrap needed for a bale. You could use surface area to figure out how much frosting is needed to frost a cake. You could use surface area to find out how much paint is needed to paint a house.

Step-by-step explanation:

Final answer:

Surface area and volume have numerous real-world applications. They are employed in Biology to understand cell functioning, in Physics to calculate celestial volumes, and in Environmental Studies to assess pollution levels and treat diseases. Accurate measurements and unit consistency are crucial for these applications.

Explanation:

Volume and surface area can be implemented in an array of real-world scenarios. For instance, in Biology, the calculation of surface area to volume ratios is essential in understanding how cells function. Larger cells have a smaller surface area to volume ratio, which can impact how efficiently they can transfer nutrients or remove waste. If the cell becomes too large, it might not be able to sustain itself sufficiently with the nutrients absorbed, or remove waste effectively. Thus, we see here that surface area to volume ratios can even be essential for life itself.

In Physics, we can extrapolate the volume of Earth's oceans or the galaxy by observing specific measurements. Volume calculations are also used in Engineering and Construction to estimate the quantity of material needed for a particular project. In Environmental Studies, we can evaluate the pollution affecting species habitat or resolve diseases impacting humans, using these geometric concepts.

In all these cases, a consistent usage of appropriate units (likes meters, kilograms, and others depending on the context) is key to getting accurate results. Also, bear in mind that the application of these mathematical concepts often requires creativity and insight to solve problems effectively.

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In a different plan forarea codes the first digit is 1 through 6 the second digit is either 5 6 7 or 8 the third digit could be any number except 5 with this plan how many ways is area code possible

Answers

Answer:

216

Step-by-step explanation:

There are 6 options for the first digit.

There are 4 options for the second digit.

There are 9 options for the third digit.

The total number of combinations is 6 × 4 × 9 = 216.

find the slope of -1 / 3 + 3 / -2​

Answers

Answer:

-1.83 (repeating decimal)

Step-by-step explanation:

Miriam is driving to Austin. This is what her gas gauge looks like when she stops for lunch. What fraction of her gas tank is filled?

A 1/4
B 1/5
C 1/3
D 3/4
PLEASE ME ANSWER!

Answers

Answer:

A. 1/4

Step-by-step explanation:

The attached picture is the complete question:

As you can see in the picture, the guage is divided into 4. The indicator is pointed at the at the first notch, from the empty area. This means that when it was full, it was at 4/4, as it goes towards empty, the notches decrease by 1/4. It is now on the 1st notch, that means that it is filled 1/4 or there is 1/4 left.

Open Response 2
A glass containing water is in the shape of a right circular cylinder with a radius
of 3 centimeters. The height of the water in the glass is 10 centimeters.
a) What is the volume of the water in the glass? Be sure to include units of
measure in your answer. Show or explain how you obtained your answer.
b) Five spherical marbles of equal size are dropped into the glass. The water in
the glass rises to a height of 11 centimeters. What is the increase in the
volume of the contents of the glass? Be sure to include units of measure in
your answer. Show or explain how you obtained your answer.
c) What is the volume of one of the marbles? Be sure to include units of
measure in your answer. Show or explain how you obtained your answer.
d) What is the radius of one of the marbles? Be sure to include units of
measure in your answer. Show or explain how you obtained your answer. ​

Answers

Answer:

b

Step-by-step explanation:

On a weather map,an isobar connects places with the same

Answers

Answer:

pressure

Step-by-step explanation:

the root words for isobar are

iso - same or equal

bar - pressure (from greek "baros")

Answer:

Pressure

Step-by-step explanation:

2/3x - 4 = 20
How do I solve this?

Answers

Answer:

x=20

Step-by-step explanation:

Answer is in the picture

PLEASE Give me BRAINLIEST

Given the below sequence:
-1, -3, -5, -7, . . .
(a) What are the next 3 terms
(b) Is this an arithmetic or geometric sequence?
(c) Why?
(d) How would you find the 27th term? Find the 27th term. (show your work)

Answers

Answer:

a) The next three terms are -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence

C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.

d) The 27 th term is -53

Step-by-step explanation:

a)  the given sequence is arithmetic sequence

the difference of second term and first term is -2

given sequence is -1,-3,-5,-7.....

the nth term in arithmetic sequence

[tex]t_{n} = a+(n-1)d[/tex]

First term is a = -1 and difference is d = -2

finding fifth term is

[tex]t_{5} = -1 +(5-1)(-2)[/tex]

[tex]t_{5} = -1-8 =-9[/tex]

finding sixth term is

[tex]t_{6} = -1 +(6-1)(-2)[/tex]

[tex]t_{6} = -1-10 =-11[/tex]

finding seventh term is

[tex]t_{7} = -1 + (7-1)(-2)[/tex]

[tex]t_{7} = -1 -12 =-13[/tex]

The next three terms are  -9,-11,-13

The given sequence is -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence.

C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.

d) by using nth term formula in arithmetic sequence

[tex]t_{n} = a+(n-1)d[/tex]

a= -1 and d =-2

find 27 t h term :-

[tex]t_{27} = -1 + (27-1)(-2) = -1-52=-53[/tex]

the left and right page numbers of an open book are two consecutive integers whose sum is 169. find the numbers.

Answers

Answer:

84 and 85

Step-by-step explanation:

84+85=169

What does 18A +16B mean

Answers

Answer:

It is an Algebraic Expression

Explanation:

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

It can not be added together and must stay in the form of 18A + 16B.


Solve 3x+k= c for x.

Answers

Answer:

x = [tex]\frac{c-k}{3}[/tex]

Step-by-step explanation:

Given

3x + k = c ( isolate the term 3x by subtracting k from both sides )

3x = c - k ( divide both sides by 3 )

x = [tex]\frac{c-k}{3}[/tex]

plz help i will mark brainliest

Answers

Answer:

x = 9.

Step-by-step explanation:

42 - 15 = 27

27 ÷ 3 = 9

A board is leaning against a building so
that the top of the board reaches a
height of 18 feet. The bottom of the
board is on the ground 4 feet away from
the wall. What is the slope of the board
as a positive number?​

Answers

Final answer:

The slope of a line is given by rise over run. The slope of the board leaning against the building is 4.5; given by the height it reaches (18 feet) divided by the distance from the base of the building to the base of the board (4 feet).

Explanation:

The subject of your question is the slope of a line in a mathematical context, specifically when dealing with the Algebra of Straight Lines. First, let's recall what slope is. The slope of a line, commonly represented as m, is the measure of the vertical change (rise) for each unit of horizontal change (run).

To find the slope of the board leaning against the building, we can take the rise over the run. Here, the rise is the height of the building which the board reaches - 18 feet. The run is the distance from the building to the board's base on the ground - 4 feet. Hence, the slope m of the board would be calculated as follows: m = rise/run = 18/4 = 4.5.

A positive slope indicates that the line rises from left to right, like the board leaning against the building. So, the slope of the board as a positive number is 4.5.

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Each year Malcolm earns about 120 hours of vacation time at his job. There are 52 weeks in a year. What is the approximate number of hours of vacation time that malcolm earns each week?

Answers

Answer:

2.3

Step-by-step explanation:

.

Final answer:

By dividing the total vacation hours Malcolm earns in a year (120) by the total number of weeks in a year (52), we find that Malcolm earns approximately 2.31 hours of vacation time per week.

Explanation:

The question is asking us to find out how many vacation hours Malcolm earns per week. To solve this, we can simply divide the total vacation hours Malcolm earns in a year (120) by the total number of weeks in a year (52).

Here's the step by step process:

Identify the total vacation hours Malcolm earns in a year, which is 120.Next, we divide that number by the number of weeks in a year, which is 52.Perform the calculation: 120 ÷ 52 ≈ 2.31.

Therefore, Malcolm earns approximately 2.31 hours of vacation time per week.

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determine whether each pair of functions are inverse functions. 1) f(x)=10x+9/8, g(x)=25x-9/10 2) f(x)=x-9, g(x)=x+9
a. both 1 and 2 are inverse functions.
b. only 2 is an inverse function
c. brother 1 nor 2 is an inverse function.
d. only 1 is an inverse function

Answers

D is your answer I think

Final answer:

After analyzing both pairs, it is evident that only the second pair, f(x) = x - 9 and g(x) = x + 9, meet the requirements for inverse functions, as both compositions f(g(x)) and g(f(x)) return the original input x. Hence, option b: only 2 is an inverse function, is correct.

Explanation:

To determine whether each pair of functions are inverse functions, we must check if applying one function following the other returns the original input value. For two functions, f(x) and g(x), to be inverses of each other, the following must hold true:

f(g(x)) = x

g(f(x)) = x

Pair 1: f(x) = 10x + 9/8, g(x) = 25x - 9/10

Applying g to f:

g(f(x)) = g(10x + 9/8) = 25(10x + 9/8) - 9/10

After simplifying, this does not equal x, so f and g are not inverse functions.

Pair 2: f(x) = x - 9, g(x) = x + 9

Applying g to f:

g(f(x)) = g(x - 9) = (x - 9) + 9 = x

Applying f to g:

f(g(x)) = f(x + 9) = (x + 9) - 9 = x

In the second pair, both compositions return the input x, so f and g are inverse functions of each other. Therefore, the answer is option b: only 2 is an inverse function.

Find the x-component of this vector:

Answers

Answer:   -13.9

This value is approximate.

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

Explanation:

This angle is in quadrant Q2, which is where x is negative and y is positive.

The angle shown of 65 degrees is added to the 90 degree angle to the right resulting in 65+90 = 155 degrees overall. See diagram below.

The x component of the vector is found by the formula

x = r*cos(theta)

we will plug in r = 15.3 as the magnitude of the vector and theta = 155 as the angle

x = 15.3*cos(155)

x = -13.8665 approximately

x = -13.9 rounding to one decimal place (as 15.3 and 65.0 are both rounded to one decimal place)

what is the value of s+t-u if s= 12,t=8,and u=20

Answers

Answer:

0

Step-by-step explanation:

12 + 8 = 20

If we then take 20 from 20, you get 0.

Answer:

Answer is 0

Step-by-step explanation:

[tex]s + t - u \\ 12 + 8 - 20 \\ 20 - 20 = 0[/tex]

Statement:5>4
Which is greater 5x or 4x

Answers

Answer:

5x

Step-by-step explanation:

Because the inequality sign means it greater and if it turned around than it means it less than and the = sign means it equal to

If x is positive, 5x is greater than 4x and if x is negative, 5x is less than 4x.

To determine whether 5x is greater than 4x, we need to consider the value of "x." The comparison between 5x and 4x depends on the value of "x."

If x is a positive number, then 5x will be greater than 4x because 5 is larger than 4, and multiplying by a positive number increases the value.

For example:

If x = 1, then  5x = 5, and 4x = 4. Since 5 is greater than 4, 5x is greater than 4x.

If x is a negative number, then 5x will be less than 4x because multiplying by a negative number changes the inequality sign.

For example:

If x = -1, then 5x = -5, and 4x = -4. Since -5 is less than -4, 5x is less than 4x.

Thus, it can be concluded that

If x is positive, 5x is greater than 4x. If x is negative, 5x is less than 4x.

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1. Which equation represents a linear function?
a. 3y + x2 + x = 0
b. 4x + 2(y – 1) = 0
c. y = 12vx – 5
d. 2x3 + y = 9

Answers

Answer:

b.

Step-by-step explanation:

4x + 2(y – 1) = 0

The variables are all of unit degree so it is linear.

Is -3.5 greater than -1.5

Answers

Answer:

No.

Step-by-step explanation:

On the number line, a number is greater than a number to its left. For example, 3 is to the left of 5, so 5 is greater than 3.

On the number line, -3.5 is to the left of -1.5, so -1.5 is greater than -3.5.

After comparing the given two negative numbers we conclude that,

the number -3.5 is not greater than -1.5.

A negative number is one that always has a value lower than zero and is denoted by the minus (-) symbol.

The given numbers are,

-3.5 and  -1.5

Subtract -1.5 from -3.5

-3.5 - (-1.5)

Remove bracket by multiplying signs,

-3.5 + 1.5

= -2.0

Now it can be written,

-3.5 = -1.5 - 2.0

Since,

-1.5 - 2.0 < -1.5

Therefore,

-3.5 < -1.5

Hence,

The number -3.5 is not greater than -1.5.

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Solve the system. 23x - 12y = 1 - 43x +y =-3

Answers

Answer:

The values are [tex]x=\frac{35}{493}[/tex] and

[tex]y=\frac{26}{493}[/tex]

The solution is  ([tex]\frac{35}{493},\frac{26}{493}[/tex])

Step-by-step explanation:

Given equations are [tex]23x-12y=1\hfill (1)[/tex]

[tex]-43x+y=-3\hfill (2)[/tex]

To solve the given equations :

Multiply the equation (2) into 12 we get

[tex]-516x+12y=-36\hfill (3)[/tex]Now adding equations (1) and (3) we get

23x-12y=1

-516x+12y=-36

____________

-493x=-35

[tex]x=\frac{35}{493}[/tex]

Substitute the value of [tex]x=\frac{35}{493}[/tex] in equation (1) we get

[tex]23\times (\frac{35}{493})-12y=1[/tex]

[tex]\frac{805}{493}-12y=1[/tex]

[tex]-12y=1-\frac{805}{493}[/tex]

[tex]-12y=\frac{-312}{493}[/tex]

[tex]y=\frac{26}{493}[/tex]

Therefore the values are [tex]x=\frac{35}{493}[/tex] and

[tex]y=\frac{26}{493}[/tex]

The solution is  ([tex]\frac{35}{493},\frac{26}{493}[/tex])

The chart below shows one store's sales of computers, listed by model.
May
June
Quilren
Quilren
Dinztop
u Quilren 2
Juvanto
Dinztop
Quilren 2
Juvanto
If the changes in sales between May and June continue at the same rate, what will be the percent change in total computer
sales from June to July? (Round your answer to the nearest tenth.)
17.1%
20.7%
34.0%
43.2%

Answers

Answer:

17.1

Step-by-step explanation:

Final answer:

The percent change in total computer sales from June to July cannot be calculated without the specific numerical sales data for each model. We need the quantities sold in May and June to determine the rate of change and project this to July.

Explanation:

To determine the percent change in total computer sales from June to July, based on the provided sales chart data, we first need to calculate the change from May to June for each computer model separately. If we assume that the sales data numbers in the chart represent the quantity of computers sold, we can take the difference in sales of each model between the two months and then sum these differences to get the total change in sales. Afterward, we'll need to express this total change as a percentage of the total sales in June.

However, the actual sales data with quantity figures are not provided; hence, we cannot calculate the exact percent change. The question seemingly requires specific numerical data to calculate the change in percentage, which is not included in the text above. Without such data, it is impossible to provide a step-by-step solution to the question regarding calculating the percent change in total computer sales.

in the problem 19.28 - 1.546, first round each number to the nearest tenth. Then subtract.​

Answers

Answer:

17.8

Step-by-step explanation:

First, round the two. umbers to the nearest the th, or the first number past the decimal.  19.28 rounds to 19.3 (round up because 8 is bigger than 5) and 1.546 rounds to 1.5 (round down because 4 is smaller than 5).  Then subtract.  19.3 - 1.5 = 17.8

-4/5x - 20/7x = 663/56 - 1/2x

Answers

Answer:

I believe the answer to this question is: X= -3  3/4

For what value of the variable the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)?
Fastest answer and right answer will be awarded Brainliest!

Answers

For x=2, the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)

Step-by-step explanation:

We have to convert the given statement in mathematical or algebraic form to get the value of x for which the given condition is true.

So,

The problem can be written as:

[tex]4(5x-8) = 2(4-x)+4[/tex]

Applying distributive property

[tex]20x-32 = 8-2x+4\\20x-32 = 12-2x\\[/tex]

Adding 32 on both sides

[tex]20x-32+32 = 12-2x+32\\20x = 44-2x[/tex]

Adding 2x on both sides

[tex]20x+2x = 44-2x+2x\\22x=44[/tex]

Dividing both sides by 22

[tex]\frac{22x}{22} = \frac{44}{22}\\x = 2[/tex]

Hence,

For x=2, the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)

Keywords: Linear equation, variables

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Simplify:
11 - 3x - 2 + 18x
what is the answer

Answers

Step-by-step explanation:

11-2 = 9

18x-3x = 15x

so, 15x+9 or 3(5x+3)

The simplified expression is 15x + 9.

To simplify the given expression, we combine like terms. The expression given is:

[tex]\[ 11 - 3x - 2 + 18x \][/tex]

First, we combine the constant terms (11 and -2):

[tex]\[ 11 - 2 = 9 \][/tex]

Next, we combine the terms with the variable x (which are -3x and 18x):

[tex]\[ -3x + 18x = 15x \][/tex]

Now, we combine the constant term with the x term:

[tex]\[ 9 + 15x \][/tex]

So, the simplified form of the expression is:

[tex]\[ 15x + 9 \][/tex]

-x + y = 8
1/2x - 1/2y = 3

Do these equations have one solution, no solution, or infinitely many solutions?

Answers

Answer:

No solution

Step-by-step explanation:

-x + y = 8..............(1)

1/2x - 1/2y = 3......(2)

Multiply (2) by 2

x - y = 6 ............(3)

Adding (1) and (3)

-x + x + y - y = 8 + 3

x and y are both eliminated so no solution

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