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Likurg_2 [28]
3 years ago
5

What is a mathematical statement that two expressions are equal

Mathematics
1 answer:
natulia [17]3 years ago
6 0
It is called an equation.
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What is the inverse of the function f(x) = 2x + 1?
Luda [366]

Answer:

f^{-1}(x)=\frac{1}{2}x-\frac{1}{2} ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is f^{-1}

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

- Solve to find the new y

∵ x = 2y + 1

- Subtract 1 from both sides

∴ x - 1 = 2y

- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by f^{-1}

∴ f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

* The inverse of the function is f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

7 0
3 years ago
Read 2 more answers
I dont understand this at all. I really need help! ​
Westkost [7]

Hello!

\large\boxed{x^{4}}

Recall that:

\sqrt[z]{x^{y} } is equal to x^{\frac{y}{z} }.  Therefore:

\sqrt[3]{x^{2} } = x^{\frac{2}{3} }

There is also an exponent of '6' outside. According to exponential properties, when an exponent is within an exponent, you multiply them together. Therefore:

(x^{\frac{2}{3} })^{6}  = x^{\frac{2}{3}* 6 }  = x^{\frac{12}{3} } = x^{4}

3 0
3 years ago
Help‼️‼️‼️Answer part 3,4,5 and give several equations for each show your work‼️
soldi70 [24.7K]

Answer:

I'd really love to help you but the way you asked made you sound so needy and that just made me not want to answer sorry...

Step-by-step explanation:

5 0
4 years ago
A store had 5 packs of paper for $7.80. How much would it cost if you were to buy 3 packs
valentina_108 [34]
To buy 3 packs, the cost would be $4.68
4 0
3 years ago
In which situation is the distance traveled proportional to time? A car moving in stop-and-go traffic A person biking on a trail
Sindrei [870]
For this case, what you must do is to see in which scenario the speed of keeping constant during a certain time.
 "A person biking on a trail at 1212 miles per hour for 2020 minutes"
 We observe that the distance in this case is proportional to the time and the constant of proportionality is the speed.
 In other words:
 d = v * t
 Answer:
 the distance traveled is proportional to time in:
 "A person biking on a trail at 1212 miles per hour for 2020 minutes"
5 0
3 years ago
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