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2 years ago

Which of the following are solutions to the equation below? Check all that apply. 4x2 - 81 = 0

Mathematics

1 answer:

Vinil7 [7]2 years ago

8 0

Answer:

9/2 -9/2

Step-by-step explanation:

Hope this helps! ;-)

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(1/125x^3)-1/3<br> Simplify the expression

bija089 [108]

Step-by-step explanation:

Simplify 1/125

1/125 . (x3))-1) ÷ 3

(x3

(———)-1) ÷ 3

125

3.1 x3 raised to the minus 1 st power = x( 3 * -1 ) = x-3

3.2 125 = 53 (125)-1 = (53)(-1) = (5)(-3)

x(-3)

——————— ÷ 3

(5)(-3)

x(-3)

Divide ——————— by 3

(5)(-3)

Answer: 125

/3x3

3 0

3 years ago

Not sure about the answers I gave <br><br> Need help with the others

aleksandrvk [35]

Answer:

Ask me

Step-by-step explanation:

Tell me dear ask..

4 0

3 years ago

What smallest prime factor of 12?

gregori [183]

2 is the smallest prime factor of 12. 12 can evenly be divided by 2 so that makes 2 the smallest prime factor of 12.

7 0

3 years ago

Read 2 more answers

Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th

DanielleElmas [232]

Answer:

$g^{-1}(x)=f(x)=e^{\frac{x}{3}}$

Step-by-step explanation:

We have been given two functions as $g(x)=\text{ln}(x^3)$ and $f(x)=e^{\frac{x}{3}}$ . We are asked to show that both functions are inverse of each other algebraically and graphically.

Let us find inverse function of $g(x)=\text{ln}(x^3)$ as:

$y=\text{ln}(x^3)$

Interchange x and y values:

$x=\text{ln}(y^3)$

Using log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$x=3\cdot \text{ln}(y)$

$\frac{x}{3}=\frac{3\cdot \text{ln}(y)}{3}$

$\frac{x}{3}=\text{ln}(y)$

Using log definition; If $\text{log}_a(b)=c$ , then $b=a^c$ , we will get:

$y=e^{\frac{x}{3}}$

$g^{-1}(x)=e^{\frac{x}{3}}$

Therefore, we can see that function $f(x)=e^{\frac{x}{3}}$ is inverse of function $g(x)=\text{ln}(x^3)$ .

We can see that both functions are symmetric about line $y=x$ , therefore, both functions are inverse of each other.

8 0

4 years ago

Write a function rule for "The output is 7 less than three times the input." Use x for the independent variable and y for the de

Shalnov [3]

Answer:

f(x) = 3x - 7

Step-by-step explanation:

Let the independent variable of a function is 'y' and dependent variable 'x'.

Therefore, function will be in the form of y = ax - b

Now statement given in the question states that "The output is 7 more than 3 times the input."

That means y is 7 less than 3 times of x.

y = 3x - 7

Rewrite this equation in the form of a function.

f(x) = 3x - 7

6 0

3 years ago