What is the area, in square feet, of the shaded part of the rectangle below?

The standard form of the polynomial is written as:

p(x) = 3*x^3 - 6*x^2 - 3x + 6

We know that a polynomial of degree N is with the zeros {x₁, x₂, ...} and a leading coefficient a can be written as:

p(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we know that the leading coefficient is 3, and the zeros of the polynomial are {-1, 1, 2}

Then we can write:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

Now we need to expand that, we will get:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

p(x) = 3*(x^2 + 1*x + x*(-1) + 1*(-1))*(x - 2)

p(x) = 3*(x^2 - 1)*(x - 2)

p(x) = 3*(x^3 + x^2*(-2) - x + 2)

p(x) = 3*x^3 - 6*x^2 - 3x + 6

That is the polynomial in standard form.

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Answer: The answer would be B which is 4

Step-by-step explanation:

I took the quiz and got it right.

Answer:

ask your mom or dad buddy

Step-by-step explanation:

Answer:

So, the required option is (B) 15x+25 ; 70

Step-by-step explanation:

Answer:

$420,000 would be your answer

Step-by-step explanation:

Answer: 3.39

Step-by-step explanation: maybe

THE ANSWER IS TRUE :P

Step-by-step explanation:

All the square roots can be simplified to a decimal answer and still be equivalent.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

We know that every number has a square root.

All the numbers does not have a perfect square root.

The perfect square roots does exists for numbers 1, 4, 9, 16, 25, .......

All the other numbers in between has the square roots which are decimal numbers.

Hence, all square roots can be simplified to a decimal answer and still be equivalent.

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Answer:

11

Step-by-step explanation:

First, write an equation to represent the situation.

34 = 2a + 12

This equation works because your combined age is half of 68, so 34. If your age is a, then yours sister's age is a + 12. if you add your age to your sister's, you get 2a + 12.

Now just solve for a.

34 = 2a + 12

First, subtract 12 from both sides.

22 = 2a

Then divide both sides by 2.

11 = a

So you are 11 years old. If you need to check your work, your age (11) plus your sister's age (11 + 12, which is 23) is 34, which is half of your grandfather's age.

Answer:

umm...1/12 of a chance

Step-by-step explanation:

Are you sure there isnt a graph that goes along with this?

Answer:

Step-by-step explanation:

1 whole is same as 100%

1/2 a half is the same 50%

1/4 is the same as 25%

1/8 is the same as 12.5%

Answer:

1.) 50

2.)25

3.) 1/8

Step-by-step explanation:

divide everything

Answer:

m<COD = 46°

Step-by-step explanation:

All the angles are supplementary to each other, so we can combine them and set them equal to 180° to solve for x:

(3x+88)°+(x+36)°+(2x-4)°=180°

3x+88+x+36+2x-4=180

6x+120=180

6x=60

x=10

Since we know x=10, then <COD is 10+36 = 46°

Answer:

∠COD = 46°

Step-by-step explanation:

∠AOB (or straight line) = 180°

3x + 88° + x + 36° + 2x - 4° = 180°

combine like terms:

6x + 120° = 180°

subtract 120° from both sides of the equation:

6x = 60°

divide both sides by 6:

x = 10°

∠COD = 10° + 36° = 46°

Answer:

C, the mean is most likely about 28 lbs.

Step-by-step explanation:

The histogram shows the weights, in pounds, of checked luggage on a flight. The median weight of a checked bag is 27.5 pounds.

thats the answer because you are rounding 27.5

Hope this is helpful! :)

Have a nice day!

Answer:

c give the other person branlist

Step-by-step explanation:

Step-by-step explanation:

Answer: the answer is C.

Answer:

Horiz asym y=-4/5

Vertical asym x=0

x intercept (5,0)

y intercept : none

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. The data set has an average of 100.  There's nothing to indicate this.  F

**B. Half the data values are greater than 100.  T:  Definition

C. The minimum value is 80 and the maximum value is 120.  There's nothing to indicate that this is true.  F

D. Only one of the data points in the data set has a value of 100.  There's nothing to indicate this.  F

Given:

The expressions are [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex].

To find:

The quotient of [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex] expressed in scientific notation.

Solution:

Quotient of [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex] is:

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=\dfrac{1.888}{5.9}\times \dfrac{10^9}{10^6}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=0.32\times 10^{9-6}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=0.32\times 10^{3}[/tex]

In the scientific notation, the first number is between 1 to 10. So, 0.32 can be written as [tex]\dfrac{3.2}{10}[/tex].

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=\dfrac{3.2}{10}\times 10^{3}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=3.2\times 10^{3-1}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=3.2\times 10^{2}[/tex]

Therefore, the value of the quotient is [tex]3.2\times 10^{2}[/tex].

Answer:

1. R

2. K

3. (3,4)

4. (0,0)

Answer:

30ft

Step-by-step explanation:

Answer:

[tex] x = - 1 + 2i, \: \: - 1 - 2i[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 2x + 5 = 0 \\ \\ {x}^{2} + 2x + 1 + 4 = 0 \\ \\ {x}^{2} + 2x + 1 = - 4 \\ \\ {(x + 1)}^{2} = - 4 \\ \\ (x + 1) = \pm \sqrt{ - 4} \\ \\ x + 1 = \pm 2i \\ \\ x = - 1\pm 2i \\ \\ x = - 1 + 2i, \: \: x = - 1 - 2i \\ \\ x = - 1 + 2i, \: \: - 1 - 2i[/tex]

Answer:

15

Step-by-step explanation:

4 x __ = 12

the blank would be 3, once you did it on one side you have to do it on the other side too

5 x 3 = 15

Another way you can do it is by...

[tex]\frac{4}{12}[/tex] = [tex]\frac{5}{x}[/tex]

solve for x (cross multiply)

Answer:

15

Step-by-step explanation:

CO : CL = OR : LA

* substitute the side letters with the given side lengths *

( let AL = x )

4 : 5 = 12 : x or

[tex]\frac{4}{5} =\frac{12}{x}[/tex]

now we solve for x by cross multiplying

4 * x = 4x

12 * 5 = 60

now we have 4x = 60

step 2 divide each side by 4

4x / 4 = x

60 / 4 = 15

we're left with x = 15

hence LA = 15

Answer:

A -3-[tex]\sqrt{5\\} \\[/tex]

Step-by-step explanation:

I use the quadratic formula to solve

Answer:

D. -6 + 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The answer is D because to solve for X you use the quadratic formula which is...

-b±[tex]\sqrt{b^{2} - 4ac}[/tex]

now just plug in which would be

-6±[tex]\sqrt{6^{2} - 4(1)(4) }[/tex]

then solve and the final answer would be

-6 ± 2[tex]\sqrt{5}[/tex] but there is only one answer for this which is a positive that is how I got  

-6 + 2[tex]\sqrt{5}[/tex]

Answer:

Smallest number with the properties in the question = 57

Step-by-step explanation:

Let's first find the LCM of the three numbers which it is divided by which are 4,5,6.

LCM of 4,5 and 6 is 60.

We are told that;

The number has a remainder of 1 when divided by 4

The number has a remainder of 2 when divided by 5

The number has a remainder of 3 when divided by 6

In all 3 cases, the difference between the divisor and the remainder is 3.

This means that the smallest number in that has the properties in the question must be; 60 - 3 = 57

Answer:

b

Step-by-step explanation:

I dunno how to explain bdjwnfjrndisnf

Answer:

First problem: sorry I dont know.

Second problem: C. 384 square inches

Third Problem: B. 215 cm2

Fourth Problem: C. 60 cubic units

Hope this helps!