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icang [17]
1 year ago
7

a friend is having trouble with exponents and asks you to review some worked probelems look over the problems and correct any mi

stakes find the correct answer and explain the error in the student's reasoning

Mathematics
1 answer:
Stella [2.4K]1 year ago
4 0

We have the following expression:

2x^2y\cdot3x^5y^2

By combining similar terms, we get

2\cdot3\cdot x^2\cdot x^5\cdot y\cdot y^2

now, 2 times 3 is 6 and to add exponents, both the exponents and variables should be alike:

x^2\cdot x^5=x^{2+5}=x^7

Similarly,

y\cdot y^2=y^{1+2}=y^3

Therefore, the answer is

6x^7y^3

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The answer is below

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\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\

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