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lord [1]
3 years ago
11

Solve. |6x − 5| < 7 Write the equivalent compound inequality < 6x − 5 <

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | < a always have solutions of the form

- a < x < a

This can be extended to include expressions, that is

- 7 < 6x - 5 < 7 ( add 5 to all 3 intervals )

- 2 < 6x < 12 ( divide all 3 intervals by 6 )

- \frac{1}{3} < x < 2

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Need step-by-step. Please answer correctly. This determines what grade I get. I will mark brainliest to the first person who ans
tatyana61 [14]

Answer:

  3√3

Step-by-step explanation:

For the problem shown here, your answer 3√3 is correct.

When there is a radical by itself in the denominator, you multiply numerator and denominator by a radical that results in the product being rational. For a square root, that will usually be the same square root:

  \dfrac{9}{\sqrt{3}}=\dfrac{9}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{9\sqrt{3}}{3}=\boxed{3\sqrt{3}}

__

If the problem has a sum in the denominator involving a square root, then you multiply numerator and denominator by the conjugate of that sum (the sum with the sign changed). This uses the special product "difference of squares" to eliminate the radical term.

<u>Example</u>:

  \dfrac{9}{2-\sqrt{3}}=\dfrac{9}{2-\sqrt{3}}\cdot\dfrac{2+\sqrt{3}}{2+\sqrt{3}}=\dfrac{9(2+\sqrt{3})}{2^2-(\sqrt{3})^2}=\dfrac{18+9\sqrt{3}}{4-3}\\\\=\boxed{18+9\sqrt{3}}

__

It is easy to demonstrate that none of the offered choices for this problem has the same value as 9/√3.

9/√3 ≈ 5.196. Offered choices have values of about 4.798, 1.732, 6.681, 23.196 -- none even close.

Please discuss this question with your teacher.

3 0
3 years ago
How do you write 3,246.78 in expanded form using base 10
tankabanditka [31]
3x1000+2x100+4x10+6x1+7x(1/10)+8x(1/100)
5 0
3 years ago
Are there any rules when solving compound inequalities?
zimovet [89]

Answer:

Yes bro

Step-by-step explanation:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

7 0
3 years ago
A square has a perimeter of 44. What is the length of side?
natka813 [3]
There are 4 sides on a square, and all 4 sides have the same length.
If the perimeter is 44, you would do 44/4.
44= permiter
4= number of sides
7 0
3 years ago
Read 2 more answers
Use cavalieri's Principle to calculate the exact of an oblique cylinder with a radius of 10 meters and a height of 11 meters.
Readme [11.4K]
Am I to assume this is for volume? The volume formula for a cylinder...oblique or not...is V = 1/3pi r^2 h.  Cavalieri's principle tells us that the formulas for both are the same. So V = 1/3*pi*100*11 and V = 366.67 pi
8 0
3 years ago
Read 2 more answers
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