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3 years ago

find the larger of two consecutive integers,x, if the sum of the smaller and larger is -9. write an equation and solve

Mathematics

1 answer:

Georgia [21]3 years ago

7 0

Answer:

-4

Step-by-step explanation:

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Find the inverse of the following function. Then prove they are inverses of one another.

solmaris [256]

Answer: $\dfrac{x^2+1}{2}$

Step-by-step explanation:

Given

$f(x)=\sqrt{2x-1}$

We can write it as

$\Rightarrow y=\sqrt{2x-1}$

Express x in terms of y

$\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}$

Replace y be x to get the inverse

$\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}$

To prove, it is inverse of f(x). $f(f^{-1}(x))=x$

$\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x$

So, they are inverse of each other.

8 0

3 years ago

The graph of which of the following equations contains the point (-3,0)?

Naily [24]

Answer:

B. x-2y=6

Step-by-step explanation:

6 0

2 years ago

3. The circumference of a circle is 607 cm. What is the diameter of the circle?

steposvetlana [31]

Answer:

the circumference is 30 cm,

Step-by-step explanation:

Hope it helps

8 0

2 years ago

How many solutions does the system have?

amid [387]

Answer:

A; infinitely many solutions

Step-by-step explanation:

first, let's simplify the first equation to make it simpler.

divide both sides by 5

y=3x-8

new system

y=3x-8

as you can see, they are the same.

not mandatory but useful!⬇⬇⬇⬇

just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.

3x-8=3x-8

add 8 to both sides; subtract 3x from one side

0=0

the answer is A, Infinitely many solutions.

hope this helped <3333333

8 0

3 years ago

What is the square root of -1?<br>-i<br>I<br>-1<br>1

vova2212 [387]

Answer:

square root(-1) = i

Step-by-step explanation:

7 0

3 years ago

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