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ivolga24 [154]
2 years ago
12

What is the invers function of f(x)=(n+1)^3?

Mathematics
1 answer:
zimovet [89]2 years ago
8 0

Answer:

f^{-1}(x)=\sqrt[3]{x}-1

Step-by-step explanation:

f(x)=(x+1)^3\\\\y=(x+1)^3\\\\x=(y+1)^3\\\\\sqrt[3]{x}=y+1\\\\y=\sqrt[3]{x}-1\\ \\f^{-1}(x)=\sqrt[3]{x}-1

Graphing both inverses, they will be symmetrical about the line y=x.

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VLD [36.1K]

Answer:

13/24

Step-by-step explanation:

I got it right.

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What is the solution set to, "Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each da
Anastaziya [24]

Answer:

Katie will collect more than 100 seashells in 5 and a half days.

Step-by-step explanation:

Katie already has 34 seashells in her collection.

Each day, she finds 12 more seashells on the beach.

Let x be the number of days Katie is collecting seashells.

In x days, she will collect 12x seashells.

In total, she will collect 34+12x seashells.

Katie wants to collect over 100 seashells, so

34+12x> 100

Solve this inequality. Subtract 34:

34+12x-34>100-34\\ \\12x>66\\ \\2x>11\\ \\x>5 \dfrac{1}{2}

Katie will collect more than 100 seashells in 5 and a half days.

3 0
3 years ago
What is the area of the yellow triangle?
lesantik [10]

I can't see pictures, but to find the area of a triangle, you multiply the dimensions, as you would a rectangle, but divide the area by 2.

For example, the dimensions of a triangle are 4 and 6.

Multiply the two.

4x6=24.

But don't stop there. Divide 24 by 2.

24/2=12.

So the area of the example triangle is 12.

---

hope it helps

8 0
2 years ago
A compression wave is moving away from an explosion at 100 ft/sec. How fast is the volume within the spherical compression wave
stepladder [879]

The volume within the spherical compression wave increasing in t = 4 seconds is:64000000π cubic ft/sec.

<h3>Volume of a sphere</h3>

Given:

dr/dt=100 ft/sec

When: t=4 seconds, radius(r)=400ft

Hence:

Volume of a sphere (V)=4/3πr³

dv/dt=4/3π.3r² dr/dt

dv/dt=4πr²dt/dr

When t=4 seconds

dv/dt=4π×(100×4)²×100 cubic ft/sec

dv/dt=4π×(400)²×100 cubic ft/sec

dv/dt=64000000π cubic ft/sec

Therefore the volume within the spherical compression wave increasing in t = 4 seconds is:64000000π cubic ft/sec.

Learn more about Volume of a sphere here:brainly.com/question/22807400

#SPJ1

4 0
2 years ago
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