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Fed [463]
4 years ago
8

Max's T-shirt business uses the demand function P = -Q + 28 and the supply function P = Q - 12. According to these functions, wh

at will the equilibrium point be for Max's T-shirt business?
A. (20,8)
B. (12,28)
C. (8,20)
D. (28,12)
Mathematics
2 answers:
melisa1 [442]4 years ago
8 0

Answer:

The answer is (8,20) on APEX. just did the test. good luck!

MrRissso [65]4 years ago
7 0

A and c —————- Bc 20 +8 is 28

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Which of the following would earn the same amount of interest as a​ $600 principal with​ 2.5% interest for 6​ years?
Kitty [74]

Answer:

where is the options?

Step-by-step explanation:


5 0
3 years ago
What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?
Vsevolod [243]

Answer:

<h2>2x + 3y = 5</h2>

Step-by-step explanation:

\bold{METHOD\ 1:}

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

Let k:y=m_1x+b_1,\ l:y=m_2x+b_2

then

l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}

We have the equation of a line:

2x+3y=6

Convert to the slope-intercept form:

2x+3y=6           <em>subtract 2x from both sides</em>

3y=-2x+6              <em>divide both sides by 3</em>

y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}

therefore the slope is m_2=-\dfrac{2}{3}

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

3=-\dfrac{2}{3}(-2)+b

3=\dfrac{4}{3}+b            <em>subtract 4/3 from both sides</em>

\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}

Finally:

y=-\dfrac{2}{3}x+\dfrac{5}{3}

Convert to the standard form (Ax + By = C):

y=-\dfrac{2}{3}x+\dfrac{5}{3}              <em>multiply both sides by 3</em>

3y=-2x+5           <em>add 2x to both sides</em>

2x+3y=5

\bold{METHOD\ 2:}

Let k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2.

Lines <em>k</em> and <em>l</em> are parallel iff

A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}

We have the equation:

2x+3y=6\to A_1=2,\ B_1=3

then the equation of a line parallel to given lines has the equation:

2x+3y=C

Put the coordinates of the point (-2, 3) to the equation:

C=2(-2)+3(3)\\\\C=-4+9\\\\C=5

Finally:

2x+3y=5

4 0
3 years ago
F(x)=-x^2-5 find the range
lina2011 [118]

x =  \frac{ - b}{2a}  \\  =   \frac{0}{2(1)}  = 0 \\ f(0) = (0)^{2}  - 5 \\  = 0 - 5 =  - 5
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3 years ago
What is the inverse of g (x)=2x-3​
MrRa [10]

Answer:

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Step-by-step explanation:

y=2x-3

x=2y-3

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y=1/2x+3/2

4 0
4 years ago
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hoa [83]

Answer:

CA ≈ 3.1 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

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CA × tan40° = 2.6 ( divide both sides by tan40° )

CA = \frac{2.6}{tan40} ≈ 3.1 ft ( to the nearest tenth )

3 0
3 years ago
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