WILL GIVE BRANLIEST PLZZ HELP ANSWERING THE 3 QUESTIONS IN FULL

Mathematics

2 answers:

Stells [14]3 years ago

5 0

Answer:

1. 3/2

2. 25/16

3. x^2

Step-by-step explanation:

$\frac{1}{2/3^1}$ = $\frac{1}{2/3}$

1 x (3/2)

nikklg [1K]3 years ago

3 0

Answer:

Exact Form:

3/2

Decimal Form:

1.5

Mixed Number Form:

1 1/2

Exact Form:

25/16

Decimal Form:

1.5625

Mixed Number Form:

1 9/16

Cancel the common factor of x³ and x².

x²

You might be interested in

Can you please help me with this?

Lelu [443]

The answer should be look it up

8 0

3 years ago

Simplify -3x³y²(-4x²y•y•y•y•y)²

AnnZ [28]

$-3x^3y^2(-4x^2 \underbrace{y\cdot y\cdot y\cdot y}_{y^4})^2\\\\=(-3)(-4)(x^3x^2)(y^2y^4)\\\\=12x^{3+2}y^{2+4}\\\\=\boxed{12x^5y^6}\\\\Used:\\\\a^n\cdot a^m=a^{n+m}$

3 0

3 years ago

Read 2 more answers

How do we derive the sum rule in differentiation? (ie. (u+v)' = u' + v')

olganol [36]

It follows from the definition of the derivative and basic properties of arithmetic. Let f(x) and g(x) be functions. Their derivatives, if the following limits exist, are

$\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h\text{ and }g'(x)\lim_{h\to0}\frac{g(x+h)-g(x)}h$

The derivative of f(x) + g(x) is then

$\displaystyle \big(f(x)+g(x)\big)' = \lim_{h\to0}\big(f(x)+g(x)\big) \\\\ \big(f(x)+g(x)\big)' = \lim_{h\to0}\frac{\big(f(x+h)+g(x+h)\big)-\big(f(x)+g(x)\big)}h \\\\ \big(f(x)+g(x)\big)' = \lim_{h\to0}\frac{\big(f(x+h)-f(x)\big)+\big(g(x+h)-g(x)\big)}h \\\\ \big(f(x)+g(x)\big)' = \lim_{h\to0}\frac{f(x+h)-f(x)}h+\lim_{h\to0}\frac{g(x+h)-g(x)}h \\\\ \big(f(x)+g(x)\big)' = f'(x) + g'(x)$