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Anuta_ua [19.1K]
3 years ago
12

Find 3 consecutive even numbers where the product of the smaller two numbers is 40 less than the square of the largest number.

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0
3\ consecutive\ even\ numbers:\ 2x,2x+2,2x+4\\\\2x(2x+2)+40=(2x+4)^2\\\\
4x^2+4x+40=4x^2+16x+16\\\\
4x^2-4x^2+4x-16x=16-40\\\\-12x=-24\ \ |:(-12)\\\\x=\frac{24}{12}=2\\\\2x=2=4\\\\2x+2=6\\\\2x+4=8\\\\Numbers\ are\ 4,6,8.
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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.
liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

f(x) = \frac{x^2+4x+3}{x^2-x-2}

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial x^2-x-2

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

(x-2) (x + 1)

We do the same with the numerator

x^2+4x+3

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

(x+3)(x + 1)

Therefore

f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}

Note that \frac{(x+1)}{(x+1)}=1 only if x \neq -1

So since x = -1 is not included in the domain the function has a discontinuity in x = -1

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3 years ago
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Help me on this I really need it
CaHeK987 [17]

Answer:


Step-by-step explanation:

Given that sale of grills increase 6% per year

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So in the first year sales would increase by 3300(6%)

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This will be again increasing by 6% in II year and so on.

Hence we have

every year 3300 increases by 6% compoundly

So

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3 years ago
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Semenov [28]

Answer: 62.7 is rounded to the nearest hundredth.

Step-by-step explanation:

Because...

if you look at the 6 at the hundredth place then you have to look at the number next to it, which is 8 and since it's 5 and greater it the 6 becomes a 7 and therefor, the answer is 62.7.

* Hopefully this helps:) Mark me the brainliest:)!!

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Answer:

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Step-by-step explanation:

192 = 0.3(x)

x = 192/0.3

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