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SpyIntel [72]
3 years ago
6

The area of a small square patio is 42 square feet. The length of each side of the patio is √42 feet. Between what two whole-num

ber measurements does √42 feet lie?
A) 4 feet and 5 feet
B) 11 feet and 12 feet
C) 22 feet and 24 feet
D) 528 feet and 530 feet
Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

The answer is A.

Step-by-step explanation:

Because the square root of 42 is about 6 and those two numbers are close to 6.

Hope this helps!

Please mark brainliest!! thanks!

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For which function is f(x) equal to f^1(x) ( answer choices in picture )
Sonja [21]

Answer:

C. f(x)=\frac{x+1}{x-1}

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+6}{y-6}

Rewrite in terms of 'y'. This gives,

x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}

The given function y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}

So, option A is incorrect.

Option B:

f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+2}{y-2}

Rewrite in terms of 'y'. This gives,

x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}

The given function y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}

So, option B is incorrect.

Option C:

f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+1}{y-1}

Rewrite in terms of 'y'. This gives,

x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}

The given function y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}

So, option C is correct.

Option D:

f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+5}{y-5}

Rewrite in terms of 'y'. This gives,

x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}

The given function y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}

So, option D is incorrect.

Therefore, only option C is correct.

7 0
3 years ago
7.5% of what number is equal to 85% of 200?
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Solving:

\frac{7.5}{100} *x =  \frac{85}{100} * 200

\frac{7.5x}{\diagup\!\!\!\!\!\!\!\!100} = \frac{17000}{\diagup\!\!\!\!\!\!\!\!100}
7.5x = 17000
x =  \frac{17000}{7.5}
x = 2266.6666... \:\to \boxed{\boxed{x \approx 2266.67}}\end{array}}\qquad\quad\checkmark
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Answer:

b=-8

Step-by-step explanation:

Sorry I don't have time to show work right now and write it down but this is the answer.

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What’s the equation given ?
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