Help pllzzzz !! .....

Answer:

f(x) = x³ - 6x² + 10x - 8

Step-by-step explanation:

Complex zeros occur as conjugate pairs, thus

Given x = 1 - i is a zero then x = 1 + i is also a zero

Given the zeros are

x = 4, x = 1 - i, x = 1 + i then the corresponding factors are

(x - 4), (x - (1 - i) ), (x - (1 + i ) ), that is

(x + 4), ( x - 1 + i), (x - 1 - i)

f(x) is then the product of the factors, that is

f(x) = (x - 4)((x - 1) + i)((x - 1) - i ) ← distribute the complex factors

     = (x - 4)((x - 1)²  - i² ) → i² = - 1

     = (x - 4)(x² - 2x + 1 + 1)

     = (x - 4)(x² - 2x + 2) ← distribute

     = x³ - 2x² + 2x - 4x² + 8x - 8 ← collect like term

f(x) = x³ - 6x² + 10x - 8

The required polynomial is f(x) = x³ - 6x² + 10x - 8 which has a degree is 3 with real coefficients.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers.

The required polynomial F(x) of degree 3 with real coefficients and the following zeros. 4, 1-i

This means i.e.

x = 4, x = 1 - i, and x = 1 + i

As per the fundamental of algebra, the corresponding factors are (x - 4), (x - (1 - i) ), (x - (1 + i ) ),

The factors are (x + 4), ( x - 1 + i), and (x - 1 - i)

If the above corresponding factors are multiplied then we can find f(x)

f(x) = (x - 4)((x - 1) + i)((x - 1) - i )

f(x) = (x - 4)((x - 1)²  - i² ) → i² = - 1

f(x) =  (x - 4)(x² - 2x + 1 + 1)

f(x) = (x - 4)(x² - 2x + 2)

f(x) = x³ - 2x² + 2x - 4x² + 8x - 8

f(x) = x³ - 6x² + 10x - 8

Thus, the required polynomial is f(x) = x³ - 6x² + 10x - 8.

Learn more about the polynomial here:

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Answer:

2x+1

Step-by-step explanation:

There is no way to simplify or solve any further.  It's not even an equation, it's an expression.

Answer:

26 ft.2

Step-by-step explanation

Divide 104 by 4 because the sandbox is a square. With a square all sides are equal length, so you just divide by the amount of sides.

Hope this helps. :)

Answer:

t-7

Step-by-step explanation:

Answer:

First, square both sides (d.) leaving 3x + 1 = 16

Second, subtract 1 from both sides (a.) leaving 3x = 15

Third, divide by 3 from both sides (e.) leaving x = 5

Answer: First D, then A, then E

Step-by-step explanation:

x = 4

4x + 4 = -3 + 2x + 15

4x - 2x = 15 - 3 - 4

2x = 8

x = 8 : 2

x = 4

Answer:

9(f(-2))= -9

Step-by-step explanation:

to find the answer you first have to find f(-2)

f(-2)=-2(-2)-5

which is: 4-5=-1

then you multiply your answer by 9, which equals -9

can i get brainliest, please? i only need 2 more

Answer:

6x - 3

Step-by-step explanation:

Step 1: Write out expression

2 - 3x - 5 + 9x

Step 2: Combine like terms (x)

2 - 5 + 6x

Step 3: Combine like terms (constants)

-3 + 6x

Step 4: Rewrite

6x - 3

Answer:

[tex]\frac{18348}{1000}[/tex]

Step-by-step explanation:

The 8 in the decimal part 0.348 is in the thousandths position, thus

18.348

= 18 [tex]\frac{348}{1000}[/tex]

= [tex]\frac{18(1000)+348}{1000}[/tex]

= [tex]\frac{18348}{1000}[/tex]

Answer:

Using technology or other resources, research the average distance that each planet is from the Sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the Sun. The Sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:

Planet Distance from Sun (in Km) Distance in scientific notation

Mercury 57,909,000  5.7909 X10^7

Venus 108.212.290.56  1.0821229056 X10^8

Earth  149,604,618.24  1.4960461824 X10^8

Mars  227,936,640  2.2793664 X10^8

Jupiter  778,412,020  7.7841202 X10^8

Saturn   1,433,442,700.8  1.4334427008 X10^9

Uranus  2,870,972,200  2.8709722 X10^9

Pluto  5,906,380,000  5.90638 X10^9

Step-by-step explanation:

:)

Answer:

thee answer is 3375ft

Step-by-step explanation:

Volume =length x width x height

V = 15ft x 15ft x 15ft

=3375 ft

can I please get brainly

Answer:

[tex]\sqrt{288}[/tex]

Step-by-step explanation:

What we have here is a radical: [tex]4\sqrt{18}[/tex].

Radicals can be made by dividing a number into a perfect square and a number, then taking the square root of the perfect square and putting it outside the square root symbol.

This means that the number here will be [tex]18\cdot(4^2)[/tex]

[tex]4^2 = 16\\\\16\cdot18=288[/tex]

Hope this helped!

Answer:

46

Step-by-step explanation:

5x = 3x - 2 + 34

5x = 3x + 32

2x = 32

x = 16

plug back in

3( 16 ) - 2

48 - 2

46

Answer:

25

Step-by-step explanation:

Any numbers to the 2nd powered are always squared. Whenever you are given an exponent, the base is the number that you multiply, and the power is one more than how many times you multiply the base number together. In this case, you multiply five by itself once to get 25 as your answer.

Answer:

Small campground = 12 garbage cans

Large campground = 44 garbage cans

Step-by-step explanation:

Picnic tables : garbage cans

= 5 : 2

Small campground = Picnic tables : garbage cans

= 30 : x

5 : 2 = 30 : x

5/2 = 30/x

Cross product

5 * x = 2 * 30

5x = 60

x = 60/5

= 12

5 : 2 = 30 : 12

large camp ground = Picnic tables : garbage cans

5 : 2 = 110 : x

5/2 = 110/x

Cross product

5 * x = 2 * 110

5x = 220

x = 220/5

= 44

5 : 2 = 110 : 44

Therefore, there are 12 garage cans in the small campground and 44 garbage cans in the large campground

Answer:

7,75 chia cho 0,25 và 0,00942 chia cho 0,314=10480.47926

Step-by-step explanation:

explanation is arithmetic

(x, y, z) = (59/8, 6, -13/8)

Answer:

x = 59 / 8

y = 6

z = -13 / 8

Step-by-step explanation:

For this problem, you simply need to set up the augmented matrix for you to enter into the calculator.  Once entered into the calculator, you will be given the values for x, y, and z.  Here is the augmented matrix:

3x - 4y + 5z = -10

2x - y - 2z = 12

x + y - z = 15

3  -4  5  |  -10

2  -1  -2  |  12

1    1  -1   |  15

Input this augmented matrix into the calculator and you will get these values for x, y, and z:

x = 59 / 8

y = 6

z = -13 / 8

Cheers.

Answer:

x=3

Step-by-step explanation:

-6x+21+4x=15

-2x+21=15

-2x=15-21

-2x=-6/2

x=3

Answer:

1 17/24

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Exact Form:

41/24

Decimal Form:

1.7083

Mixed Number Form:

1 17/24

Answer:

1 13/16

Step-by-step explanation:

7/8 x 6/6 = 42/48

5/6 x 8/8 = 45/48

45/48 + 42/48 = 87/ 48

87/48 = 1 39/48

1 39/48 = 1 13 /16

Hopefully this helps you  :)

pls mark brainlest ;)

Answer:

Can't answer this

Step-by-step explanation:

For this question, I think you need to read more informations, find out the function

After you find out the function,

Replace f(x) as 12 and replace x with n

After that, try to solve it.

Good luck.

Answer:

You can make 6 batches of cookies.

Step-by-step explanation:

3/4 + 3/4 = 1 1/2 (2)

1 1/2 + 1 1/2 = 3 (4)

3 + 1 1/2 = 4 1/2 (6)

Answer:

6 batches

Step-by-step explanation:

4 1/2 divided by 3/4

is 6

4 1/2  /  3/4 = 6

so you can make six

is how many batches

you can make.

(i checked my answer with a calculator)

Answer:

Step-by-step explanation:

Answer:

175 is the correct answer

Step-by-step explanation:

175*5/7=125

Answer:

Step-by-step explanation:

Bob's deal : 11/10= 1.1 dollars per bagel

Danny's bagel=3/4=0.75 dollars per bagel

Danny's deal is better the price is lower

2- fraction : 11/10>3/4

1.1>0.75 the lower the price the better

3- Danny's deal is better because the price of 10 bagels=7.5 dollars

Answer:

He invested approximately $2,215

Step-by-step explanation:

Mr Y invested $2000 in two accounts.

One pays 7%, and the other pays 5%.

At the end of one year, Mr Y earned $155 in interest. We want to know how much Mr Y invested in the account paying 7%.

Let the amount he invested be X, then

7% of X = 155

(7/100)X = 155

0.07X = 155

X = 155/0.07

= 2,215

He invested approximately $2,215

Answer:

x + 10

Step-by-step explanation:

x and 10 are not the same

The sum of the numbers x and 10 is ( x + 10 ).

The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.

The given numbers are x and 10. The sum of the given numbers x and 10 is calculated as:-

Sum = x + 10

Hence, the sum is ( x + 10 ).

To know more about summation follow

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Answer:

1. True

2. False

3.-48

4. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}

5. can you please put the points in parentheses becasue I cannot tell which pair is which. If you rephrase it I will comment the anwer

Step-by-step explanation:

Answer:

1. True

2. False

3.-48

4. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Multiply 10 by 10