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Reptile [31]
3 years ago
5

An investor bought 600 shares of stock, some at $⁢4.50 per share and some at $⁢1.00 per share. If the total cost was $1650.00 ,

how many shares of each stock did the investor buy?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0
Dont mid helping 
23 hope help

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For which values of the parameter B the following system admits a unique solution [ 1 b 1-b 2 2 0 2–2B 4 0] [x y z] = [1 2 0]
photoshop1234 [79]

Answer: β ≠ ±1

Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,

det \left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right] ≠ 0

Determinant of a 3x3 matrix is calculated by:

det \left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right]

8(1-\beta)-[2(2-2\beta)(1-\beta)]

8-8\beta-4+8\beta-4\beta^{2}

-4\beta^{2}+4\neq 0

\beta^{2}\neq 1

\beta \neq \sqrt{1}

β ≠ ±1

For the system to have only one solution, β ≠ 1 or β ≠ -1.

7 0
3 years ago
If x = 3, then x^2 = 3x what property
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9. What is the tan(90-x)?
Aleonysh [2.5K]

\\ \sf\longmapsto tanx=\dfrac{Perpendicular}{Base}

\\ \sf\longmapsto tanx=\dfrac{4}{3}

\\ \sf\longmapsto x=tan^{-1}(4/3)

\\ \sf\longmapsto x=53°

\\ \sf\longmapsto tan(90-x)

\\ \sf\longmapsto cotx

\\ \sf\longmapsto cot53

\\ \sf\longmapsto \dfrac{3}{4}

\\ \sf\longmapsto 0.75

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18 shells because since Mary has 6 and Tina has 3 shells all you have to do is multiply 6 and 3 to get 18

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3 years ago
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Determine the area based on the house plan.<br><br><br><br><br> Kitchen area:
ArbitrLikvidat [17]

Answer:

66 or 32

Step-by-step explanation:

5+3+4+3+5+4+2+3+4= Hope it helps!!1

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