Given the associated quantity demanded, Q1, and quantity supplied, Q2, which of the following describes the quantity Q2−Q1?

A.the surplus resulting from the price floor Pc
B. the shortage resulting from the price floor Pc
C.the surplus resulting from the price ceiling Pc
D. the shortage resulting from the price ceiling Pc

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Answer:

  (-∞, 2-√7) ∪ (2+√7, ∞)

Step-by-step explanation:

The factored form of a polynomial is helpful for solving related inequalities. For quadratics with two real zeros, the sign changes at each zero. If the leading coefficient is positive, the sign is positive to for x-values "outside" either zero, and is negative between the zeros.

Your inequality can be written in standard form as ...

  x² -4x -3 > 0

  x² -4x +4 -7 > 0

  (x -2 -√7)(x -2 +√7) > 0 . . . . . factor the difference of squares (x-2)² -7

The zeros are at x=2-√7 and x=2+√7, so the product of these factors will be positive for x < 2-√7 and x > 2+√7. The solution in interval notation is ...

  (-∞, 2-√7) ∪ (2+√7, ∞)

_____

Additional comment

We suspect a typo in the problem statement. If it were to read ... > -3, then the zeros would be at 1 and 3, and the solution would be (-∞, 1)∪(3, ∞).

Answer:

4,425$

Step-by-step explanation:

find the amount of Money raised

buy multiplying the amount raised per mile by each sponsor with the number of sponsor and the number of miles walked

[tex](30 \times 0.50) \times 25 = 375[/tex]

to find the remaining, subtract the raised amount from the intended amount.

[tex]4800 - 375 = 4425[/tex]

Answer:

-40x^2, first multiply -2(-4), this is 8 and sum with 12 and this is 20, finally mutiply by -2

Answer:

2/45

Step-by-step explanation:

0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: [tex](\frac{1}{10} )(\frac{4}{9} )[/tex]. Multiplying the two fractions results in 4/90 which can be simplified to 2/45.

Answer:

5

Step-by-step explanation:

-30÷(-6) is the same as 30÷6

30÷6=5

Answer:

5

Step-by-step explanation:

ignore any negative sign for now.

30÷6

We can divide 30 items evenly into 5 groups of 6.

Now consider the signs. Two negatives make a positive.

−30,−6→Positive

=5

Using the mean concept, it is found that the mean of the distribution is of 0.64.

The mean of a probability distribution is given by the sum of each outcome multiplied by it's probability.

In this problem, the probability of each outcome is given by:

[tex]P(X = 0) = 0.513[/tex]

[tex]P(X = 1) = 0.357[/tex]

[tex]P(X = 2) = 0.109[/tex]

[tex]P(X = 3) = 0.019[/tex]

[tex]P(X = 4) = 0.002[/tex]

The, the mean is:

[tex]E(X) = 0.513(0) + 0.357(1) + 0.109(2) + 0.019(3) + 0.002(4) = 0.64[/tex]

The mean of this distribution is 0.64.

A similar problem is given at https://brainly.com/question/24146527

Answer:

a₈ = 768 , a₁₀ = 3072

Step-by-step explanation:

The nth term of a GP is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = 2 , then

a₈ = 6 × [tex]2^{7}[/tex] = 6 × 128 = 768

a₁₀ = 6 × [tex]2^{9}[/tex] = 6 × 512 = 3072

Answer:

Step-by-step explanation:

4x+3y=3

y=2x+6

4x+3(2x+6)=3

4x+6x+18=3

10x=3-18

10x=-15

x=-15/10=-1.5

y=2(-1.5)+6

y=-3+6

y=3

Answer: 450 kcal

Step-by-step explanation:

So you know the food is 360 kcal per 1 cup

by setting up a proportion, you can relate the number of kcal to cups.

[tex]\frac{360 kcal}{1 cup} = \frac{?kcal}{(3/4 +1/2)cup} \\\\[/tex]

we can simplify the fraction to this:

[tex]\frac{360 kcal}{1 cup} = \frac{?kcal}{(5/4)cup} \\\\[/tex]

by cross multiplying you can solve the proportion

(360) * (5/4) = (?) * (1)

simplifying gets this:

450 = ?

so he ate 450 kcal total

Answer:

4

Step-by-step explanation:

4+3a=16

-4. -4

3a=12

/3. /3

a=4

Answer:

1 million brothers i have in my family

Answer:

slope=0

Step-by-step explanation:

Answer:

Momentum = 20 000 kgm/s

Force applied = 5000 N

Step-by-step explanation:

Momentum = Mass * Velocity

= 2000 kg * 10 m/s

= 20 000 kgm/s

Force = Mass * Acceleration

Acceleration = v - u / t

= 60-50/4

= 10/4

= 2.5 m/s^2

F = m*a

= 2000 * 2.5

= 5 000 N

Answer:

275.57

Step-by-step explanation:

258.75 ×6.5=16.817

275.57 +26.82 =275.57

Answer:

y=4/5x+22/5

Step-by-step explanation:

Using point-slope form!

9514 1404 393

Answer:

  3)  78°

Step-by-step explanation:

Let x represent the angle. Then 180-x is its supplement, and the difference is ...

  (180 -x) -x = 24

  90 -x = 12 . . . . . . . divide by 2

  x = 90 -12 = 78 . . . . degrees

The measure of the angle is 78°.

Answer:

110°, 35° and 35°

Step-by-step explanation:

Sum of internal angles of a triangle always is 180°

then,

180° - 110° = 70°

and it's an isosceles triangle, the other two angles are equals to 35° (70° / 2)

Answer:

what's this

Step-by-step explanation:

I cannot anderstand

9514 1404 393

Answer:

  1/x = (1+√5)/2 ≈ 1.618034

Step-by-step explanation:

Since you are only interested in the second part, we presume you have solved the quadratic equation to find ...

  x = (√5 -1)/2 ≈ 0.618034

The second part asks for 1/x. The usual method for rationalizing the denominator will be useful for this. Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{1}{x}=1\div\dfrac{\sqrt{5}-1}{2}=1\times\dfrac{2}{\sqrt{5}-1}\\\\=\dfrac{2(\sqrt{5}+1)}{(\sqrt{5}-1)(\sqrt{5}+1)}=\dfrac{2\sqrt{5}+2}{5-1}=\boxed{\dfrac{\sqrt{5}+1}{2}\approx1.618034}[/tex]

_____

Additional comment

You may notice that 1/x = x+1.

Answer:

5x + 2y = - 26

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , m

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~

( - 8 , 7 ) , m = - [tex]\frac{5}{2}[/tex]

y - 7 = - [tex]\frac{5}{2}[/tex] ( x - ( - 8 ) )

y + [tex]\frac{5}{2}[/tex] x = 7 - 20

5x + 2y = - 26

Answer:

[tex] \frac{3}{10w} [/tex]

Step-by-step explanation:

[tex] = \frac{9s4t3w}{36s2t5} [/tex]

simplifying you obtain the answer above

Answer:

0.529

Step-by-step explanation:

1) Use the algorithm method.

       2    .     3

+  0   .    2    3

---------------------------

0 .    0   6    9

0 .   4   6  0

-----------------------------

                 1

0.    5  2  9

2) Therefore, 2.3 × 0.23 = 0.529.

0.529

Answer:

line up the decimal points first and then compare values, starting with the ones places, then compare the tenths place, then the hundredths, etc.

0.210 - this is 21/100

1.320 - this is 1 32/100

2.100 - this is 2 1/10

0.021 - this is 21/1000

Step-by-step explanation:

smallest is 0.021

0.210

1.32

largest is 2.1

Answer:

how do you divide 2.6 by 2.952

Step-by-step explanation:

9514 1404 393

Answer:

  C. It is a number that tells how many equal factors there are

Step-by-step explanation:

Just as a coefficient tells you how many times a value appears in a sum, an exponent tells you how many times a value appears in a product.

The exponent ...

  ... is a number that tells how many equal factors there are

Answer:

48 ways

Step-by-step explanation:

Let me take a guess

S₁_₁₅ = (1+15)*7 + 8 = 120

There are 48 combinations of distinct digits from 1 to 15 to make 20

120-20=100

So every 20 has a corresponding 100

I wish I got it right, otherwise report it.

Answer:

C and E

Step-by-step explanation:

The change in elevation was 44 + 20 = 64 m

the rate of fall was 64 m / 32 s = 2 m/s

The anchor reached the surface in 44 / 2 = 22 s so C is valid

E is correct as the ocean surface is origin and Up is the positive direction.

The anchor starts at 44 m above the surface and position is lower by 2 meters every second

From the question, the two correct options about the speed with which the anchor was released are:

First we have to calculate the change that occurred in the elevation. Initially it was 44 meters but dropped 20 m below water.

44 + 20 = 64 meters

Next we calculate the rate with which the fall occurred

The time with which it fell was 32 seconds. = 64/32 = 2 meters pers second

44/2 = 22 hence it can be concluded that C is right.

Option E is also correct given that the water surface is above the ground and it is positive

Read more on distance here: https://brainly.com/question/2854969

-10, -8, -3, 0, 2. Please give Brainliest

Answer:

0,-3,-8,-10,2

Step-by-step explanation:

0,-3,-8,-10,2 PLEASE GIVE MY 5 STARS thank you ❤