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Kazeer [188]
3 years ago
12

If f(x) = x^2 - 25 and g(x) = x - 5, what is the domain of (f/g)(x)

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Answer:

The domain of the function is all real numbers except number 5

Step-by-step explanation:

we have

f(x)=x^{2}-25

The domain of f(x) is all real numbers

g(x)=x-5

The domain of g(x) is all real numbers

(f/g)(x)=\frac{f(x)}{g(x)}

substitute

(f/g)(x)=\frac{x^{2}-25}{x-5}

Remember that

The denominator cannot be zero

For x=5 the denominator is equal to zero

therefore

The domain of the function is all real numbers except number 5

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A photo of a beetle in a science book is increased to 535​% as large as the actual size. If the beetle is 14 ​millimeters, what
AnnZ [28]

Answer: 74.9 millimeters

Step-by-step explanation:

From the question, a photo of a beetle in a science book was.increased to 535​% as large as its actual size and the beetle.has a actual size of 14 ​millimeters,

The size of the beetle on the photo will be 535% of 14 millimeters. This will be:

= 535% of 14

= 535/100 × 14

= 5.35 × 14

= 74.9 millimeters

4 0
3 years ago
At the local grocery store, cans of beans are arranged in rows. The number of cans in each row forms an arithmetic sequence. The
Elodia [21]
In an arithmetic series, the value of the nth term is calculated using the equation,
                                  an = ao + (n - 1)(d)
where an and ao are the nth and the 1st term, respectively. d is the common difference, and n is the number of terms.

In the given, an = 48, a0 = 93, d = -5 and n is unknown. Substituting the known values,
                                     48 = 93 + (n - 1)(-5)
The value of n from the equation is 10. Thus, the answer is the last choice. 
3 0
3 years ago
Can someone help me?
mart [117]
-2 + 8 = 6

because if you have 2 negative circles ●● and 8 positive circles ○○○○○○○○ then once you take away the first two circles you get you answer. You do the opposite. :) ( hope that make sense... )

3 0
3 years ago
Does anyone know this? :)
Scilla [17]

Answer:

2x²y+(x²y-2xy²) = 3x²y-2xy²

(5xy²-x²y) +3x²y = 5xy²-2x²y

4x²y+(x²y+xy²) = 5x²y+xy²

x²y+(-2xy²-4x²y) = -3x²y-2xy²

Step-by-step explanation: there you go

6 0
3 years ago
A 0.45-mm-wide slit is illuminated by light of wavelength 590 nm. What is the width (in mm) of the central maximum on a screen 1
Hitman42 [59]

Answer:

w = \frac{2(590x10^{-9}) (1.5m)}{0.45x10^{-3}}=3.93 x10^{-3} m

And if we convert this into mm we got:

w= 3.93 x10^{-3} m *\frac{1000mm}{1 m}= 3.93 mm

Step-by-step explanation:

For this case we have the following info givenL

\lambda = 590 nm = 590 x10^{-9}m represent the wavelength

s = 0.45 mm *\frac{1m}{1000 mm}= 0.45x10^{-3} m represent the width of the single slit

L = 1.5 m represent the longitude

And we want to find the maximum width of the central maximum in mm, so we can use the following formula:

w s = 2 \lambda L

And if we solve for w the width we got:

w = \frac{2\lambda L}{s}

And replacing we got:

w = \frac{2(590x10^{-9}) (1.5m)}{0.45x10^{-3}}=3.93 x10^{-3} m

And if we convert this into mm we got:

w= 3.93 x10^{-3} m *\frac{1000mm}{1 m}= 3.93 mm

6 0
3 years ago
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