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2 years ago

For the function f(x)=(x+6)^3, rind f^-1(x)

Mathematics

1 answer:

qaws [65]2 years ago

5 0

Answer:

$f^{-1}(x)=\sqrt[3]{x}-6$

Step-by-step explanation:

$f(x)=(x+6)^3$

$y=(x+6)^3$

$x=(y+6)^3$

$\sqrt[3]{x}=y+6$

$\sqrt[3]{x}-6=y$

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raffle tickets are being sold for a fundraiser. The relationship between n, number of raffle tickets sold, and A, amount of mone

jolli1 [7]

Answer:

D. N(a) = (a + 20)/3

Step-by-step explanation:

A(n) = 3n - 20

A is a function of n. The inverse will be: N is a function of a.

Change A(n) to y and n to x.

y = 3x - 20

Switch x and y.

x = 3y - 20

Solve for y.

x + 20 = 3y

3y = x + 20

y = (x + 20)/3

Now switch y to N(a) and x to a.

Answer: N(a) = (a + 20)/3

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2 years ago

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Suppose f(x) = x2 and g(x)= (1/4x)2Which statement best compares the

kodGreya [7K]

Answer:

Step-by-step explanation:

Since the variable <em>b</em> is manipulated in f(x) = a(bx - h)² + k, we are dealing with horizontal compression and stretching. Since b < 1, that means the graph is being horizontally compressed.

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2 years ago

The ratio of the number of boys to the number of girls in a theater is 7:9. There are 12 more girls than boys. How many children

skelet666 [1.2K]

Ok, there is an equation you can use to solve it.

n is a number.

p is also a number, but different to n.

$\frac { 7 }{ 9 } \cdot \frac { n }{ n } =\frac { p }{ p+12 } \\ \\ \frac { 7 }{ 9 } \cdot 1=\frac { p }{ p+12 } \\ \\ \frac { 7 }{ 9 } =\frac { p }{ p+12 }$

$\\ \\ 7\left( p+12 \right) =9p\\ \\ 7p+84=9p\\ \\ 9p-7p=84\\ \\ 2p=84\\ \\ p=\frac { 84 }{ 2 } \\ \\ p=42$

Therefore:

<u></u> $\frac { 7 }{ 9 } \cdot \frac { n }{ n } =\frac { 42 }{ 42+12 } =\frac { 42 }{ 54 } =\frac { 7 }{ 9 } \cdot \frac { 6 }{ 6 } \\ \\ \therefore \quad n=6$

So all together there were 54 girls and 42 boys in the theatre.

54 + 42 = 96

That's 96 children in total. (Answer)

7:9 = 42:54

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2 years ago

You have 120 pieces of fabric to make a blanket. Each piece of fabric is the square with a side length of 6 inches. You use as m

myrzilka [38]

Hello! So, you use 120 pieces of fabric. You could not use all 120 pieces, because you can not make a square. The most you could use to make a square is 100. That would be 10 squares a row, with a side length of 6, which would make a perimeter of 60. Then, the other side would be 60. So 60 * 60 is 3600. The area of the blanket is 3600 square inches.

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2 years ago

Pamela is 10 years older than Jiri. The sum of their ages are 66, what is Jiri's age?

Goryan [66]

Answer:

Step-by-step explanation:

Let's Jiri's age be "J" and Pamela's age be "P".

P = 9 + J (Pamela is 9 years older than Jiri.) ... equation 1

P + J = 107 (the sum of their ages is 107) ... equation 2

Put equation 1 into equation 2:

(9+J) + J = 109

9 + 2J = 109

2J = 109 - 9

2J = 100

J = 100/2

J = 50

Therefore, Jiri's age is 50.

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2 years ago