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gulaghasi [49]
3 years ago
9

(2 x 10^2)(4 x 10^3)

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
6 0

Answer:

800000x^2

Step-by-step explanation:

KIM [24]3 years ago
4 0
800,000
explanation

(2 x 100)(4 x 1000)
200 x 4000
800,000
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Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x
Katarina [22]

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = 3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4

fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4

fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4

fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}

fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}

fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

x(x^{2}+x) \neq 0

If x = 0, the function doesn't exist.

x^{2}+x \neq0

x(x+1) \neq0

x+1\neq0

x\neq-1

<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>

5 0
3 years ago
3. Are these ratios equivalent? 35:28 and 10:8 *
attashe74 [19]

Reduce each ratio to its minimum expression to find if they are equal.

35:28

\begin{gathered} \frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ =\frac{5}{4} \end{gathered}

10:8

\begin{gathered} \frac{10}{8}=\frac{2\cdot5}{2\cdot4} \\ =\frac{5}{4} \end{gathered}

Since both ratios reduce to 5:4, they are equivalent.

Another way to check a:b is equivalent to c:d, is that a*d = b*c

In this case, this will be true if 35 times 8 is equal to 10 times 28:

\begin{gathered} 35\cdot8=280 \\ 10\cdot28=280 \end{gathered}

Since both products are equal, then the ratios are equivalent.

4 0
1 year ago
You drive 45 miles per hour. what is your speed in feet per second
Oxana [17]
You can use a calculator online.
Here's the link but I already did it for you

https://www.metric-conversions.org/speed/miles-per-hour-to-feet-per-second.htm?val=45

It's 66 ft per second.
7 0
3 years ago
A bat and ball cost $1.10.
pogonyaev

Answer:

$0.10

Step-by-step explanation:

If the total is $1.10, and the bat costs $1 then you would subtract $1 from $1.10 (1.10-1) and get .10 meaning the ball costs 10 cents

4 0
3 years ago
Read 2 more answers
neil has 3 partially full cans of white paint. They contain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint about how much paint
tensa zangetsu [6.8K]
Answer: 31/30 gallons, or 1 and 1/30 gallons
5 0
3 years ago
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