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3 years ago

Combine the like terms to create an equivalent expression. 5n-2n

Mathematics

2 answers:

Setler79 [48]3 years ago

5 0

Answer:

Step-by-step explanation:

When subtracting like terms (numbers, or variable expressions that have the same variable, like these), you add the coefficients (the numbers attached to the variable) to simplify the expression.

5n - 2n

You have 5 "n"s and you subtract 2 "n"s, leaving you with 3 "n"s

nevsk [136]3 years ago

4 0

Answer:

Step-by-step explanation:

5n - 2n = (5-2)n

=3n

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The derivative of y with respect to x, when y = 3e^5x - 2 is:

Ede4ka [16]

Answer: 15e^5x

Step - by - step

y=3e^5x - 2

By the sum rule, the derivative of 3e^5x - 2 with respect to x is d/dx [ 3e^5x ] + d/dx [-2].

d/dx [ 3e^5x ] + d/dx [ -2 ]

Evalute d/dx [ 3e^5x ]

Since 3 is constant with respect to x , the derivative of 3e^5x with respect to x is
3 d/dx [ e^5x ].

3 d/dx [ e^5x ] + d/dx [ -2 ]

Differentiate using the chain rule, which states that d/dx [ f(g(x))] is f' (g(x)) g' (x) where f(x) = e^x and g(x) = 5x.

To apply the Chain Rule, set u as 5x.
3 ( d/du [ e^u] d/dx [5x] ) + d/dx [ -2]

Differentiate using the Exponential rule which states that d/du [ a^u ] is a^u ln(a) where a=e.

3( e^u d/dx[5x] ) + d/dx [ -2 ]
Replace
3(e^5x d/dx [5x] ) + d/dx [ -2 ]
3(e^5x( 5 d/dx [x] )) + d/dx [ -2 ]

Diffentiate using the Power Rule which states that d/dx [x^n] is nx^n-1 where n=1.
3(e^5x(5*1)) + d/dx [-2]
3 ( e^5x * 5 ) + d/dx [-2]

Multiply 5 by 3
15e^5x + d/dx [-2]

Since -2 is constant with respect to x, the derivative of -2 with respect to x is 0.
15e^5x + 0
15e^5x

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11 months ago

Which domain restrictions apply to the rational expression?

Anton [14]

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3 years ago

WILL MARK BRAINLIEST A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown

Radda [10]

Answer:

a=567 km+900 km

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b=567 km+169 km

b=736 km

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x^2/(1,467)^2+y^2/(736)^2=1

Step-by-step explanation:

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aniked [119]

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3 years ago

Read 2 more answers

There are 15 red, 14 green, and 9 yellow balls in a dark room. What is the minimum number of balls that Alicia needs to take so

Tems11 [23]

Answer:

Step-by-step explanation:

1. If you take 12 balls, 9 could be yellow and 3 could be red. We want at least 12 of the same color, so 30 balls isn't a good minimum

2. If you take 30 balls, 9 could be yellow, 10 could be red and 11 could be green. We want at least 12 of the same color, so 30 balls isn't a good minimum.

3. If you take 31 balls, 9 could be yellow, 11 could be red and 11 could be green. We want at least 12 of the same color, so 31 balls isn't a good minimum.

4. If you take 32 balls, 9 could be yellow, 11 could be red and 12 could be green or 9 could be yellow, 12 could be red and 11 could be green or 7 could be yellow, 13 could be red and 12 could be green or 9 could be yellow, 11 could be red and 12 could be green.

We want at least 12 of the same color, and we have it from the different samples of the 4th trial.

So, 32 balls is the minimum number of balls

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3 years ago