How is 80.106 written in expanded form?

Answer:

Step-by-step explanation:

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:

100

Step-by-step explanation:

Multiply 10 by 10

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:

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:

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:

D -3/2

Step-by-step explanation:

The solutions are x = -3 and x = 3/2, however, you can solve this as well by looking at part of the quadratic formula:

[tex]x_1+x_2 = \frac{-b + \sqrt{b^2-4ac}}{2a} + \frac{-b - \sqrt{b^2-4ac}}{2a} = \frac{-b}{a}[/tex]

the formula implodes when you add the roots!

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 ;)

(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:

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:

x=3

Step-by-step explanation:

-6x+21+4x=15

-2x+21=15

-2x=15-21

-2x=-6/2

x=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:

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:

For #21, x = 35, y = 85

Step-by-step explanation:

For these types of problems, you will simply use to facts.  The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent.  With that being said, let's work #21.

We can see that there are two lines, and we are given 2 values to find with 3 possible equations.

[1] ( 2x + 25 ) + y = 180

[2] y + ( 3x - 10 ) = 180

[3] 2x + 25 = 3x - 10

Using any of these equations, we can solve for the variables.  Let's use the 1st and 3rd equations to find x and y.

2x + 25 = 3x - 10

2x + -2x + 25 + 10 = 3x + -2x + -10 + 10

35 = x

Now plug in the value of x to find y:

( 2x + 25 ) + y = 180

( 2(35) + 25 ) + y = 180

( 70 + 25 ) + y = 180

95 + y = 180

y = 85

We can check these values by plugging into the 2nd equation

x = 35 ; y = 85

y + ( 3x - 10 ) = 180

(85) + (3(35) - 10) = 180

85 + ( 105 - 10) = 180

85 + 95 = 180

180 = 180

Thus, we have validated our results and found the values of x and y.

Cheers.

Answer:

the curved area would be 396cm^2

Answer:

7/4

Step-by-step explanation:

1x3+3/4

then will get you to

4+3/4

and the solution is

7/4

Answer:

d

Step-by-step explanation:

add the dashes up =10

Answer:

10

Step-by-step explanation:

AC is the difference between the position of A and C, that is

AC = | - 8 - 2 | = | - 10 | = 10 or

AC = |  2 - (- 8) | = | 2 + 8 | = | 10 | = 10

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:

175 is the correct answer

Step-by-step explanation:

175*5/7=125

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 ).

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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:

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

Step-by-step explanation:

explanation is arithmetic

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:

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:

  P'(-9, 3)

Step-by-step explanation:

The transformation for rotation counterclockwise about the origin by some angle α will be ...

  (x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))

When the angle is α = 90°, this reduces to ...

  (x, y) ⇒ (-y, x)

You have (x, y) = (3, 9), so the image point is P'(-9, 3).

__

Additional comment

The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list: