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Bezzdna [24]
3 years ago
9

Solve the inaquality 2(x-1)>8

="2(x - 1) \geqslant 8" alt="2(x - 1) \geqslant 8" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0
<span>2(x-1)</span>≥<span>8

1.  Divide both sides by 2 on the way towards isolating x on the left side:
     x-1 </span>≥ 4
2.  Add  1 to both sides to isolate x:     x≥5

That's it.  The solution set consists of all real numbers = to or greater than 5.

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Solve the follwing please:
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3 0
2 years ago
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
Which attribute matches the given triangle? Column A Column B 1. isosceles triangle 2. obtuse triangle 3. equilateral triangle 4
polet [3.4K]
Isosceles - Has at least two equal sides. (B)
Obtuse Triangle - Must have an obtuse angle. (D)
Equilateral Triangle - All sides should be equal. (Missing an answer?)
Right Triangle -Must include a 90 degree angle. (A)
Scalene Triangle - Has NO equal sides. (C)

Tell me if this helped.
6 0
4 years ago
What goes in the highlighted box?
muminat

Answer:

8x

Step-by-step explanation:

Add the 2 like terms on the left

7 0
3 years ago
Read 2 more answers
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