4 years ago

Solve the inequality |3x-6|≤9

1 answer:

5 0

3x-6≤9
3x≤15
x≤5
so the answer is x≤5

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masha68 [24]

Answer:

the answer is [c]

Step-by-step explanation:

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Usimov [2.4K]

$53 + x\geqslant 76$
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Alex777 [14]

Answer:

D. 4

Step-by-step explanation:

Without actually solving the equation, recall that for $a=|b|$ , there are two cases:

$\begin{cases}a=b, \\a=-b\end{cases}$

In the given equation $|x-2|^{10x^2-1}=|x-2|^{3x}$ , there are two pairs of absolute value symbols.

Since each has two cases, there must be a total of $2\cdot 2=\boxed{4}$ different equations created.

All four cases are:

$\begin{cases}(x-2)^{10x^2-1}=(x-2)^{3x},\\(-x+2)^{10x^2-1}=(x-2)^{3x},\\(x-2)^{10x^2-1}=(-x+2)^{3x},\\(-x+2)^{10x^2-1}=(-x+2)^{3x}\end{cases}$

Exponents differ, hence clearly there are four possible solutions to this equation.

You can solve for all four values of $x$ by taking the log of both sides and using a bit of algebra to verify you have four solutions.

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3 years ago

garik1379 [7]

Answer:

Step-by-step explanation:

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Nataly [62]

A) 27/50
b) 50-27= 23
c) 23/50

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4 years ago