Find the area of the shaded polygons:

Answer:

See Explanation

Step-by-step explanation:

From your question, what you need is the explanation;

Given that [tex](x - 1 - \sqrt{2})(x - 1 + \sqrt{2})[/tex]  is a factor of p(x)

Required: Simplify

[tex](x - 1 - \sqrt{2})(x - 1 + \sqrt{2})[/tex]

Group the expression above

[tex]((x - 1) - \sqrt{2})((x - 1) + \sqrt{2})[/tex] -------- Expression 1

The expression can be expanded using difference of two squares;

[tex](a - b)(a + b) = a^2 - b^2[/tex]

By comparison, Expression 1 can be rewritten as

[tex](x - 1)^2 - (\sqrt{2})^2[/tex]

Open both brackets

[tex](x - 1)(x - 1) - (\sqrt{2})(\sqrt{2})[/tex]

Expand the above expression

[tex](x(x - 1) -1(x - 1)) - 2[/tex]

[tex](x^2 - x -x + 1)- 2[/tex]

[tex](x^2 - 2x + 1)- 2[/tex]

Remove bracket

[tex]x^2 - 2x + 1- 2[/tex]

[tex]x^2 - 2x - 1[/tex]

Hence,

If

[tex](x - 1 - \sqrt{2})(x - 1 + \sqrt{2})[/tex]  is a factor of p(x)

Then

[tex]x^2 - 2x - 1[/tex] is a factor of p(x)

Answer:

[tex]f(-1) = 3[/tex]

[tex]f(2) = 6[/tex]

[tex]f(12) = 41[/tex]

Step-by-step explanation:

Given

The piece wise function can be split to:-

[tex]f(x) = -2x[/tex]   [tex]x\leq -10[/tex]

[tex]f(x) = x + 4[/tex]   [tex]-10<x\leq 2[/tex]

[tex]f(x) = 4x - 7[/tex]   [tex]x> 2[/tex]

Required

f(-1), f(2) and f(12)

To solve for each of these functions, we first check the range they fall into, then we execute the corresponding function

-1 is within the range of [tex]-10<x\leq 2[/tex]

Hence; we make use of [tex]f(x) = x + 4[/tex]  

Substitute -1 for x

[tex]f(-1) = -1 + 4[/tex]

[tex]f(-1) = 3[/tex]

2 is within the range of [tex]-10<x\leq 2[/tex]

Hence; we make use of [tex]f(x) = x + 4[/tex]  

Substitute 2 for x

[tex]f(2) = 2 + 4[/tex]

[tex]f(2) = 6[/tex]

12 is within the range of [tex]x> 2[/tex]

Hence; we make use of [tex]f(x) = 4x - 7[/tex]  

Substitute 12 for x

[tex]f(12) = 4(12) - 7[/tex]  

[tex]f(12) = 48 - 7[/tex]

[tex]f(12) = 41[/tex]

Answer:

31.25

Step-by-step explanation:

There are about 31 quarters in a the jar so if you need to round do accordingly! Have a good day

Answer:

31 quarters

Step-by-step explanation:

Have an equation set

Then you solve the equation you get 31.25

Round the number since you can't have 31.25 quarters it just doesn't make sense.

Round it to 31

Therefore your answer is 31 quarters

Hope this Helps!

Answer:

f^-1(x) is 6x + 48

f(x) = 1/6x - 8

To find f^-1(x) equate f(x) to y

That's

f(x) = y

y = 1/6x - 8

Next interchange the terms

We have

x = 1/6y - 8

Make y the subject

Multiply through by 6

We have

6x = y - 48

y = 6x + 48

Therefore f^-1(x) is 6x + 48

Hope this helps you

Answer:f(-1/6)-8

Step-by-step explanation:

cuz

Answer:

Pretty sure Its B

Step-by-step explanation:

Answer:

I believe it's the third answer: 2b+20=240

Step-by-step explanation:

2b=The two buses

$20= the tip

240= the money raised

Answer:

Both expressions are equal. One expression cannot be greater than the others.

Step-by-step explanation:

The given expressions are:

A:   (x + y)

B:   (x) + (y)

A:   (a+b) = a+b

B:   (a)+(b) = a+b

A:   (-a+ (-b)) = -a-b

B:   (-a)+(-b) = -a-b

A:   (a+(-b)) = a-b

B:   (a)+(-b) = a-b

A:   ((-a)+b) = -a+b

B:   (-a)+(b) = -a+b

We can see the pattern that both expressions are always equal to each other, no matter what value of x and y you plug in. One expression cannot be greater than the other

Answer:

Use a graphing calc

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

Given that it is a vertical line, we know that it will only go through one x-value.

We are also given a point, (-5, -3).

This point tells us that the vertical line only goes through the x-value -5, so the equation will be x = -5.

Answer:

Part 1:  [tex]2l+2w=34[/tex]       Part 2:  10.5 Units

Step-by-step explanation:

We can find perimeter of a rectangle using formula [tex]2l+2w=P[/tex]. We are given [tex]w[/tex], which is 6.5. Put this into the equation.

[tex]2l+2(6.5)=342l+13=34\\2l=21\\l=10.5[/tex]

So, length(l) of the rectangle is 10.5 units.

Answer:

10.5

Step-by-step explanation:

The perimeter of rectangles is calculated by adding all lengths together

34 units = length + length + width +width

since width is given as 6.5 units

2l + 2 × 6.5 = 34 (l : length)

2l + 13 = 34

2l = 21

l = 10.5

Answer:

Flipped across the y-axis and then rotated -90 degrees

Step-by-step explanation:

Answer:

statements 2 and 3

B

Step-by-step explanation:

Answer: 1.89230769231

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The constant of proportionality is y/x

3/4

Answer:

m∠A = 2x = 2*20 = 40

m∠B = 3x = 3*20 = 60

m∠C= 4x = = 4*20 = 80

Step-by-step explanation:

we know sum of angles of triangle is 180 degrees

given

m∠A : m∠B : m∠C = 2:3:4

let the angle be

m∠A = 2x

m∠B = 3x

m∠C= 4x

we have taken such angle by applying rule of indices where

a:b:c = ax:bx:cx

which means that if we multiply all term of ratio by same number ratio remains same

thus,

2x+3x+4x = 180

9x = 180

x = 180/9 = 20

Thus,

m∠A = 2x = 2*20 = 40

m∠B = 3x = 3*20 = 60

m∠C= 4x = = 4*20 = 80

Answer:

A. One solution.

B. x = 3.

Step-by-step explanation:

4(2x - 5) = 4

4*2x + 4*-5 = 4

8x - 20 = 4

8x = 24

x = 3.

The given equation has one solution and the solution to the given equation is 3

Linear equation has a leading degree of 1. Given the equation

4(2x - 5) = 4

Divide both sides by 4

4(2x-5)/4 = 4/4
2x - 5 = 1

Add 5 to both sides

2x = 1 + 5

2x = 6

x = 3

Hence the given equation has one solution and the solution to the given equation is 3

Learn more on linear equation here: https://brainly.com/question/14323743

The number of different possible party outcomes does Noah have with all of the given options is 18 ways.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that,

Number of themes = 3

Number of party places = 2

Number of days = 3

Number of outcomes = 3×2×3

= 18 ways

Therefore, the number of different possible party outcomes does Noah have with all of the given options is 18 ways.

To learn more about the permutation visit:

https://brainly.com/question/3867157.

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Answer:

D

Step-by-step explanation:

BIG BRAIN

Makes no sense yea put D like it’s gonna be the answer for d on mine

Answer:

w-2

Step-by-step explanation:

To file your return, you'll need the following on hand: Your W-2: This form will come from your company and list not only your salary for the year but the amount of taxes withheld along the way. You're required to file your W-2 along with your taxes, so if you're a salaried employee, this form is non-negotiable.

The document you need to have on hand when preparing to file your tax return is Form W-2. The correct option is D.

A tax return is a document filed with the tax authorities by individuals or businesses to report their income, expenses, and other relevant financial information in order to calculate their tax liability or refund.

It is usually filed once a year, and the information on it is used to determine whether the taxpayer owes additional taxes or is eligible for a refund.

Form W-2 is a form that an employer provides to an employee at the end of the year that shows the employee's total earnings as well as the amount of taxes withheld from those earnings.

It is a necessary document for accurately preparing and filing an individual's tax return.

Thus, the correct option is D.

For more details regarding tax return, visit:

https://brainly.com/question/21214035

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Answer:

1) -2q-5= -11

-2q = -11+5

q = -6/-2 =3

2) 3(8+k) = 33

24 + 3k = 33

3k = 33-24

K = 9/3 = 3

3) 4/6=x/9

By cross multiplication

4x9 = Xx6

36 = 6x

So, x = 6

4) 6(y+3)=24

6y + 18 = 24

y = (24-18)/6 = 1

5)4k+8=26

4k = 26-8

k = 18/4 = 4.50

6)8y=6+2y

8y - 2y = 6

6y = 6

So, y = 1

7)3x-7=20

3x = 20+7

x = 27/3 = 9

Answer: See below attachment

Answer:

The GCF is 4x.

Step-by-step explanation:

4x( 4x -3 )

Hope this helped you!

Answer:

81x^4

Step-by-step explanation:

Apply the product rule to 3x

3^4x^4

Raise 3  to the power of  4

81x^4

please mark me brainliest!

A.50

I'm sure its correct

Answer:

It's (A) 50

Step-by-step explanation:

Answer:

domain 0<=x<=infinty or [0,infinity)

Range 0<=y<=infinity or [0,infinity

Step-by-step explanation:

Answer:

Step-by-step explanation:

m∠1=m∠3

m∠2=m∠4

3*(m∠1+m∠3)=m∠2+m∠4

3*(m∠1+m∠1)=m∠2+m∠2

3×2 m∠1=2 m∠2

m∠2=3 m∠1

now m∠1+m∠2=180°

m∠1+3 m ∠1=180

4 m∠1=180

m∠1=180/4=45°

m∠3=45°

m∠2=180-m∠1=180-45=135°

m∠4=135°

Answer:

Step-by-step explanation:

Your answer is c

the absolute value of -2x would be positive 2x making x =2 and -2

Answer:

The answer is 76.9 rounded or rounds.

Step-by-step explanation:

Solution

Given that:

Mean = μ = 72.5

Standard deviation = σ = 6.5

Now

By applying the standard normal table we have the following:

P(Z < z) = 75%

= P(Z < z)

= 0.75

Thus

z =0.67 by using the standard normal z table

Applying the  z-score formula we have:

x = z * σ + μ

x = 0.67*6.5+72.5

x= 76.855 ≈ 76.9

Therefore the cutoff time is 76.9 rounds.

Answer:

00 to 99 are 100 numbers.

If you match the first number only, you win $200. The Probability for this is 1/100.

If you match the first two numbers and not the third, you win $5000. The Probability for this is 1/50.

If you match all three numbers, you win $100,000. The Probability for this is 3/100.

And, If you are a customer, You will think is fair for you.

But if you are the lottery tickets company, you will think is not fair for you.

It depends who you are. 

the game isn't fair because 100,000/3=3333 1/3, so each number should be worth $3333.3333...... dollars but you can't really give 1/3 dollars so the game is impossible to be fair. Also, if you match the first two numbers you apparently get $5000. That's also not fair because each number is worth $50 dollars more than if you get the first number matched. So, the game isn't fair but it will be pretty much impossible to be fair.

Answer:

It's a valid sample because the first five people were selected to participate.

Step-by-step explanation:

True because random people who saw the advertisement responded. By chance, not every person who saw the advertisement answered, therefore it was random, but it would be more random if he decided to reject the second, fourth, sixth, and eighth person, and only the first, third, fifth, seventh, and ninth were chosen.

Answer:   a = 2   b = 3   c = 5  

Literally a+ b+c = 10, but I don't think that's what the question means to ask.

the equation is 2x² +3x + 5

Step-by-step explanation:   Substitute the values of the given coordinates into the formula and use algebra (solve a system of equations by substitution and elimination) to get the values  of a,b & c

y=ax²+bx+c    using  (0,5), (1,10), and (2,19)

5=a(0)²+b(0)+c   becomes 5= 0+0 + c .so we find c = 5

10=a(1)²+b(1)+c    becomes 10 = a + b + c

19=a(2)²+b(2)+c .  becomes 19 = 4a + 2b + c

Substitute the 5 for c.  Then rewrite

10 = a + b + 5      becomes     5 = a+ b     to eliminate b multiply this be (-2)

(-2)( 5 = a+ b) .to get -10 = -2a - 2b  

19 = 4a + 2b + 5  becomes   14 = 4a + 2b  

_______________  Add these two

14 = 4a + 2b

-10 = -2a - 2b    this will eliminate the "b" term

4 = 2a       divide both sides by 2   so you have   a = 2  

substitute in 10=a(1)²+b(1)+5 to find b

10=2(1)²+b(1)+5 .becomes  5 = 2 + b   Subtract 2 from both sides

b = 3

So now you have all three values:  

a = 2  b= 3  c = 5  

I am attaching the graph. I hope this deserves Brainiest.

Best wishes in your studies!