All categories

3 years ago

Let a be a nonzero rational number. Is rational or irrational? Prove your answer by picking a value for a and simplifying

Mathematics

1 answer:

Kobotan [32]3 years ago

3 0

Answer:

there is no expression to answer this based off of

Step-by-step explanation:

we can't answer an incomplete question sorry try again and maybe then

You might be interested in

Remember to show work and explain. Use the math font.

MrMuchimi

Answer:

$\large\boxed{1.\ f^{-1}(x)=4\log(x\sqrt[4]2)}\\\\\boxed{2.\ f^{-1}(x)=\log(x^5+5)}\\\\\boxed{3.\ f^{-1}(x)=\sqrt{4^{x-1}}}$

Step-by-step explanation:

$\log_ab=c\iff a^c=b\\\\n\log_ab=\log_ab^n\\\\a^{\log_ab}=b\\\\\log_aa^n=n\\\\\log_{10}a=\log a\\=============================$

$1.\\y=\left(\dfrac{5^x}{2}\right)^\frac{1}{4}\\\\\text{Exchange x and y. Solve for y:}\\\\\left(\dfrac{5^y}{2}\right)^\frac{1}{4}=x\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\dfrac{(5^y)^\frac{1}{4}}{2^\frac{1}{4}}=x\qquad\text{multiply both sides by }\ 2^\frac{1}{4}\\\\\left(5^y\right)^\frac{1}{4}=2^\frac{1}{4}x\qquad\text{use}\ (a^n)^m=a^{nm}\\\\5^{\frac{1}{4}y}=2^\frac{1}{4}x\qquad\log_5\ \text{of both sides}$

$\log_55^{\frac{1}{4}y}=\log_5\left(2^\frac{1}{4}x\right)\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\\dfrac{1}{4}y=\log(x\sqrt[4]2)\qquad\text{multiply both sides by 4}\\\\y=4\log(x\sqrt[4]2)$

$--------------------------\\2.\\y=(10^x-5)^\frac{1}{5}\\\\\text{Exchange x and y. Solve for y:}\\\\(10^y-5)^\frac{1}{5}=x\qquad\text{5 power of both sides}\\\\\bigg[(10^y-5)^\frac{1}{5}\bigg]^5=x^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\(10^y-5)^{\frac{1}{5}\cdot5}=x^5\\\\10^y-5=x^5\qquad\text{add 5 to both sides}\\\\10^y=x^5+5\qquad\log\ \text{of both sides}\\\\\log10^y=\log(x^5+5)\Rightarrow y=\log(x^5+5)$

$--------------------------\\3.\\y=\log_4(4x^2)\\\\\text{Exchange x and y. Solve for y:}\\\\\log_4(4y^2)=x\Rightarrow4^{\log_4(4y^2)}=4^x\\\\4y^2=4^x\qquad\text{divide both sides by 4}\\\\y^2=\dfrac{4^x}{4}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\y^2=4^{x-1}\Rightarrow y=\sqrt{4^{x-1}}$

6 0

4 years ago

What would the number 8671.42578125 ten be in IEEE 754 single precision floating point format. You need to follow the following

Arlecino [84]

Answer:

Step-by-step explanation:

Answers are explained/Solved in the attach document.

5 0

4 years ago

What is the value of the expression 30-(-6)?<br> 0 -180<br> O -5<br> O 5<br> O 24

____ [38]

I believe it’s 24, sorry if i’m wrong.

6 0

2 years ago

Read 2 more answers

Use the following figure to answer the question. if 1 and 2 are equal then lines l and m are parrallel

den301095 [7]

Answer:

True

Explanation:

1 and 2 are alternate exterior angles. 1≅2 so L||M

8 0

4 years ago

What is 127.484 to the nearest whole number

nikklg [1K]

Answer:

127

Step-by-step explanation:

A whole number is a number without any fractions (or decimals), so you just have to round the number to the nearest number without any decimals, which is 127

3 0

4 years ago

Read 2 more answers