Need help with his geometry question. Find the value of x

The loss in producer surplus as a result of the tax given the information in the diagram is  $9000.

Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product

The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax

Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)

12000  - 3000 = $9000

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Answer:

g(x) is the translation of f(x) 2 units to the left and 4 units down

Answer:

-4y - 24 + 2y²

Step-by-step explanation:

1. Simplify the distributive properties

⇒ 3(2y - 8) - 2y(5 - y)

⇒ 6y - 24 - 10y + 2y²

2. Combine like terms

⇒ 6y - 24 - 10y + 2y²

⇒ y(6 - 10) - 24 + 2y²

3. Simplify the expression

⇒ y(6 - 10) - 24 + 2y²

⇒ -4y - 24 + 2y²

Answer:

11 Students

Step-by-step explanation:

It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.

Answer:

Step-by-step explanation:

Answer:

a little confusing, but i think its a fake quiz that asks for your pledge so you put true, and integrity: the quality of being honest and having strong moral principles; moral uprightness

Step-by-step explanation:

Step-by-step explanation:

let the cost of the bench = x

the cost of the garden table = x + 82

x + (x + 82) = 668

2x + 82 = 668

2x = 586

x = 293

The bench costs $293 and the garden table costs 293 + 82 = $375

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Answer:

x=29

Step-by-step explanation:

0.3(x-5)=7.2

multiply by 10

3(x-5)=72

divide by 3

[tex]x-5=\frac{72}{3} \\x-5=24\\x=24+5\\x=29[/tex]

[tex]f(x)=\cfrac{x^2+x-42}{x^2+3x-28}\implies \stackrel{f(x)}{0}=\cfrac{x^2+x-42}{x^2+3x-28}\implies 0 = x^2+x-42 \\\\\\ 0=(x+7)(x-6)\implies x= \begin{cases} 6\\ -7 \end{cases}[/tex]

Answer:

Hi there!

40 ÷ 40 = 1

120 ÷ 40 = 3

The Amount in tip was first computed which is $68.58 per day, in five days, Willow will earn $342.90 in tips

Given Data

Let us find the amount of tip earned per day

Amount in tip = 18/100*381.00

Amount in tip = 0.18*381.00

Amount in tip = 68.58

Hence, for five days, her tip will be

= 68.58*5

= $342.90

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Answer:

step 1,×+8=_2

step2,×=_2_8

step3,×=_10

Answer:

get a graphing caculator and type the numbers in the rectangle and see what you get

Step-by-step explanation:

Answer:

y= x -2

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept

Given equation: y= x +4

This equation is already in the slope-intercept form, thus its slope can be found from the coefficient of x.

Slope= 1

[tex]\textcolor{steelblue}{\text{Parallel lines have the same slope.}}[/tex]

Slope of unknown line= 1

Substitute the m= 1 into y= mx +c:

y= x +c

To find the value of c, substitute a pair of coordinates the line passes through into the equation.

When x= 5, y= 3,

3= 5 +c

c +5= 3

c= 3 -5

c= -2

Thus, the equation of the line is y= x -2.

Answer:

If you don't understand handwriting

then comment ok

Answer:

A common factor is a whole number which is a factor of two or more numbers.

[tex]factors \: of \: 9 = 1 \times 3 \times 3[/tex]

[tex]factors \: of \: 15 = 1 \times 3 \times 5[/tex]

since both of the numbers have only 1 and 3 in common.

therefore ,

Option A is correct.

______________________________________

______________________________________

Additional information

★ The highest common factor (HCF) is the greatest factor that will divide into two or more numbers.

★ The lowest common multiple (LCM) is the smallest multiple that is common to two or more numbers.

hope helpful :D

Answer:

2/28 ?

Step-by-step explanation:

if I'm wrong so sorry

Answer:

f(x) = ax + b, where a and b are real numbers.

Answer:

91 adult tickets

Step-by-step explanation:

Algebra is really useful here:

Let a = number of adult tickets sold and c = number of child tickets sold.

Thus, we can say that

a + c = 153 (number of tickets)

6.40c + 9.60a = 1270.4. (cost of all of the tickets)

Solving,

c = 153 - a

6.40(153 - a) + 9.60a = 1270.4

979.2 - 6.40a + 9.60a = 1270.4

3.20a = 291.2

a = 91

Answer:

1/3 or 33%

Step-by-step explanation:

You can first do: 50/150

Which is 5/15 simplified

And do the quick math:

1/3 or 33%

Answer:

20

Step-by-step explanation:

60%

Answer:

Step-by-step explanation:

Total number of tickets sold = 250

Number of prizes = 5

Number of favorable outcomes = 5

[tex]P(A)= \frac{no. of possible outcomes}{No. of total outcomes} [/tex]

[tex]P (getting \: a \: prize) = \frac{5}{250} =\frac{1}{150}[/tex]

Answer:

y = x - 8

Step-by-step explanation:

y = x - 8

Check your answer using (0, -8):

y = x - 8

-8 = 0 - 8

-8 = -8

This statement is true

Also, view the attached graph.

Hope this helps!

Answer:

33ft

Step-by-step explanation:

1. Work out the missing length.

2.10-3=7 so it is 7.

10+5+8+3+7=33ft

Answer:

[tex]\csc(u).sec(u)[/tex]

Step-by-step explanation:

[tex] \tan(u)+ \cot(u) \\ \\ = \frac{ \sin(u)}{ \cos(u)} + \frac{ \cos(u)}{ \sin(u)} \\ \\ = \frac{ { \sin}^{2} (u) + {\cos}^{2} (u)}{ \sin(u). \cos(u)} \\ \\ = \frac{1}{ \sin(u). \cos(u)} \\ ( \because \: { \sin}^{2} ( \theta) + {\cos}^{2} ( \theta) = 1) \\ \\ = \frac{1}{\sin(u)} \times \frac{1}{\cos(u)} \\ \\ = \csc(u).sec(u) \\ \\ \implies \: \purple{ \bold{ \tan(u)+ \cot(u) = \csc(u).sec(u)}}[/tex]

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

(Sin²u + Cos²u) = 1

The final expression of the trigonometric expression tan(u) + cot(u) is

Cosec(u) x Sec(u)

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Tan (u) + Cot (u)

We know that,

Tan x = sin x / cos x

Cot x = cos x / sin x

Now,

Tan (u) + Cot (u)

= {Sin (u) / Cos (u) + Cos (u)}/ Sin (u)

Simplify by forming into a fraction.

= (Sin²u + Cos²u) / Sin(u)Cos(u)

[ sin² + cos² = 1 ]

So,

(Sin²u + Cos²u) = 1

= 1 / Sin(u)Cos(u)

= 1/Sin(u) x 1/Cos(u)

= Cosec(u) x Sec(u)

Thus,

The final expression of the trigonometric expression tan(u) + cot(u) is

Cosec(u) x Sec(u)

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Answer:

45°

Step-by-step explanation:

complementary angles add up to 90° so it's 90-45

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Standard equation of circle ~

[tex]\qquad \sf  \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where,

Now, let's plug in the values ~

[tex]\qquad \sf  \dashrightarrow \:(x - (5)) {}^{2} + (y - ( - 8)) {}^{2} = {2}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + 5) {}^{2} + (y + 8) {}^{2} = {4}^{} [/tex]

Therefore, the correct choice is B

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The equation of the circle with a center of (4,5) and a radius of 2 units is (x + 5)² +(y + 8)² = 4

The center of the circle is given as:

Center (a,b) = (-5, -8)

The radius is given as:

Radius, r = 2

The equation of the circle is calculated using:

(x - a)² + (y - b)² = r²

Substitute values for r and (a,b)

(x + 5)² +(y + 8)² = 2²

Evaluate the square of 2

(x + 5)² +(y + 8)² = 4

Hence, the equation of the circle is (x + 5)² +(y + 8)² = 4

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Answer:

parallelogram

Step-by-step explanation:

opposite sides are congruent so this meets the minimum requirement to be a parallelogram.