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Snezhnost [94]
3 years ago
7

If f(x)=3x-5 and g(x)=x+3,find (f-g) (x) A.2x-2 B.8-2x C.4x-2 D.2x-8

Mathematics
1 answer:
son4ous [18]3 years ago
5 0
(f-g)(x)=(3x-5)-(x+3) = 3x-5-x-3 = 2x-8
Therefore the answer is D.

Hope this helps.
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Limit as x approaches infinity: 2x/(3x²+5)
Nonamiya [84]
\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\implies \cfrac{\lim\limits_{x\to \infty}~2x}{\lim\limits_{x\to \infty}~3x^2+5}

now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.

BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.

as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.

now, we could just use L'Hopital rule to check on that.

\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\stackrel{LH}{\implies }\lim\limits_{x\to \infty}~\cfrac{2}{6x}

notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.
5 0
3 years ago
HELP HELP PLEASE!! D:<br> Determine the missing side length!! <br> PLEASE NO CAP!!
charle [14.2K]

Answer:

missing side length = 9

Step-by-step explanation:

c^{2} = a^{2} + b^{2}

a = 6

b = 7

c = missing side

c^{2} = 6^{2} + 7^{2}

c^{2} = 36 + 49

c^{2} = 85

\sqrt{c^{2} } = \sqrt{85}

c = 9.219 = 9

5 0
3 years ago
3c=2(c-1) in a verbal expression
kifflom [539]

9514 1404 393

Answer:

  "three times a number is the same as twice the difference of the number and 1"

Step-by-step explanation:

3c is "three times a number"

2(c -1) is "two times the difference of the number and 1"

When writing the description of the right-hand side, one needs to be careful to write it so there is no ambiguity with respect to what is being multiplied by 2. For example, if you say, "two times one less than the number", it is not clear whether that is c -2×1 or 2×(c -1).

A suitable description is ...

three times a number is the same as twice the difference of the number and 1

6 0
3 years ago
Where is the point (-1,5) located on the coordinate plane?
weqwewe [10]
The point (-1, 5) is located here:

Yes, I did draw that in paint just for you.

3 0
3 years ago
Read 2 more answers
I increase a number by 24% the answer is 6014 what number did I start with
miskamm [114]

Answer:

1443.36

Step-by-step explanation:

6014*.24=1443.36

Hope it helps

8 0
3 years ago
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