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3 years ago

Simplify 8 + 3{x - 2[x + 5(x + 3)]}. -33x + 82 33x - 82 -33x - 82

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Answer:

Step-by-step explanation:

Use

PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

and the distributive property a(b + c) = ab + ac.

$1)\qquad5(x+3)=5x+15\\\\2)\qquad x+5(x+3)=x+5x+15=6x+15\\\\3)\qquad2[x+5(x+3)]=2(6x+15)=12x+30\\\\4)\qquad x-2[x+5(x+3)]=x-(12x+30)=x-12x-30=-11x-30\\\\5)\qquad3\{x-2[x+5(x+3)]\}=3(-11x-30)=-33x-90\\\\6)\qquad8+3\{x-2[x+5(x+3)]\}=8+(-33x-90)=-33x-82$

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Find the slope on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.

disa [49]

Answer:

Step-by-step explanation:

(-2,2) (2,-4)

(-4-2)/(2+2)= -6/4= -3/2 is the slope of the graph

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3 years ago

Communicate Mathematical Ideas Irrational numbers can never be precisely represented in decimal form. Why is this? 20 Unit1

kiruha [24]

Answer:

An irrational number can never be represented precisely in decimal form.

Step-by-step explanation:

<em>A number can be precisely represented in decimal form if you can give a rule for the construction of its decimal part,</em>

for example:

2.246973973973973... (an infinite tail of 973's repeated over and over)

7.35 (a tail of zeroes)

If this the case, then the number is a RATIONAL NUMBER, i.e, the QUOTIENT OF TWO INTEGERS.

Let's show this for the first example and then a way to show the general situation will arise naturally.

Suppose N = 2.246973973973...

You can always multiply by a suitable power of 10 until you get a number with only the repeated chain in the tail

for example:

1) $N.10^3=2246.973973973...$

but also

2) $N.10^6=2246973.973973...$

Subtracting 1) from 2) we get

$N.10^6-N.10^3=2246973.973973973... - 2246.973973973...$

Now, the infinite tail disappears

$N.10^6-N.10^3=2246973 - 2246=226747$

But

$N.10^6-N.10^3=N.(10^6-10^3)=N.(1000000-1000)=999000.N$

We have then

999000.N=226747

and

$N=\frac{226747}{999000}$

We do not need to simplify this fraction, because we only wanted to show that N is a quotient of two integers.

We arrive then to the following conclusion:

If an irrational number could be represented precisely in decimal form, then it would have to be the quotient of two integers, which is a contradiction.

So, an irrational number can never be represented precisely in decimal form.

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3 years ago

Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

MrRa [10]

The question is incomplete. The complete question is :

Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answer:

67.5 $mm^3$