Solve for x: -8 < x - 1 < 5 (9th grade Algebra 1)

Mathematics

1 answer:

Makovka662 [10]2 years ago

7 0

Answer:

your answer is the first one

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Factorise the following.

spin [16.1K]

Answer:

x²(9x– 11)(9x + 11)

Step-by-step explanation:

81x⁴ – 121x²

The expression can be factorised as follow:

81x⁴ – 121x²

x² is common to both term. Thus:

81x⁴ – 121x² = x²(81x² – 121)

Recall:

81 = 9²

121 = 11²

Therefore,

x²(81x² – 121) = x²(9²x² – 11²)

= x²[(9x)² – 11²]

Difference of two squares

x²(9x– 11)(9x + 11)

Therefore,

81x⁴ – 121x² = x²(9x– 11)(9x + 11)

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2 years ago

Using an ordered alphabet of 26 letters, how many ways are there to choose a set of six letters such that no two letters in the

mestny [16]

To find our solution, we can start off by creating a string of 27 boxes, all followed by the letters of the alphabet. Underneath the boxes, we can place 6 pairs of boxes and 15 empty boxes.The stars represent the six letters we pick. The empty boxes to the left of the stars provide the "padding" needed to ensure that no two adjacent letters are chosen. We can create this -
$\binom {21} {6}= \frac{21*20*19*18*17*16}{6*5*4*3*2*1} =21*19*17*8=54264$
Thus, the answer is that there are $\boxed{54264}$ ways to choose a set of six letters such that no two letters in the set are adjacent in the alphabet. Hope this helped and have a phenomenal New Year! <em>2018</em>

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3 years ago

The width of a swimming pool is one third of its length.The width of the pool is 15 feet.What is the length of the pool?Write an

zubka84 [21]

The answer is 45

Here is why: 15*3=45

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2 years ago

RIGHT ANSWER WILL BE MARK BRAINLIEST

nirvana33 [79]

...............the answer is D

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3 years ago