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3 years ago

What is the solution to 4 to the 3rd power =y

Mathematics

1 answer:

JulsSmile [24]3 years ago

7 0

I think the answer is 64

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Choose the domain for which each function is defined

klemol [59]

Answer:

Part 1) $f(x)=\frac{x+4}{x}$ -----> $x\neq 0$

Part 2) $f(x)=\frac{x}{x+4}$ ----> $x\neq -4$

Part 3) $f(x)=x(x+4)$ ----> All real numbers

Part 4) $f(x)=\frac{4}{x^2+8x+16}$ ----> $x\neq -4$

Step-by-step explanation:

we know that

The domain of a function is the set of all possible values of x

Part 1) we have

$f(x)=\frac{x+4}{x}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=0 the function is not defined

therefore

The domain is

$x\neq 0$

Part 2) we have

$f(x)=\frac{x}{x+4}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

Part 3) we have

$f(x)=x(x+4)$

Applying the distributive property

$f*(x)=x^2+4x$

This is a vertical parabola open upward

The function is defined by all the values of x

therefore

The domain is all real numbers

Part 4) we have

$f(x)=\frac{4}{x^2+8x+16}$

we know that

In a quotient the denominator cannot be equal to zero

Equate the denominator to zero

$x^2+8x+16=0$

Remember that

$x^2+8x+16=(x+4)^2$

( $x+4)^2=0$

The solution is x=-4

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

6 0

3 years ago

What is the next sequence 3.1 3.1 1 33.11 33.111

MrMuchimi

The next number in the sequence should be 333.111

7 0

3 years ago

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Three consecutive integers have a sum of 42. find the integers.

ioda

The answer is 13,14,15.

6 0

3 years ago

Which inequality is true

sukhopar [10]

Answer:

Step-by-step explanation:

$\pi$ ≈3.14

3x3.14=9.42

9.42>9

8 0

3 years ago

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Convert the following into standard form<br> Y=7/5x+1

vlabodo [156]

Answer:

7x - 5y = -5 this is the standard form

4 0

3 years ago