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spayn [35]
3 years ago
9

Solve the system of equations - 3x + y = 7 and 9x – 6y = 3 by combining the equations.

Mathematics
1 answer:
aniked [119]3 years ago
3 0
(-5, -8)
(x, y)
would be your answer
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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
How do you answer this problem
sp2606 [1]

Answer:

Step-by-step explanation:

What problem?

4 0
3 years ago
I Need HelpAsap please I will mark you brainlist
Arada [10]

Answer:

a. 72 inches

b. 21.3 inches

Step-by-step explanation:

12:27

a. 32 inches in height

32/x = 12/27

Set these fractions equal to each other

32= 12

12 times 2.6(repeating decimal) equals 32

So to find the width do 2.666... time 27 and you get 72 inches.

---------------------------------------------------------------------------

b. 48 inches in width

Again set the fractions equal to each other.

x/48 = 12/27

48 divided by 27 equals 1.77777....

To get height, do 1.77777.... times 12 and you get 21.3333333

But since it is to the nearest tenth, you get 21.3 inches

Hope that helps!

5 0
3 years ago
Solve for x. 4 x plus 1 equals 9 A. -2 B. 2 C. 3 D. -3
NeX [460]

Answer: C

Step-by-step explanation:

4x + 1 = 9

4x + 1 -1 = 9-1

4x=8

8/4=2

6 0
3 years ago
Read 2 more answers
The contents of Dana's box of muffins is shown.
TiliK225 [7]
3/5 would be the answer because every 3 banana nut here is 5 corn
6 0
3 years ago
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