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3 years ago

Simplify this algbraic expression completely 5y-3(y+2)

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

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Which expression is equivalent to 3+2?

vichka [17]

Answer:

Any expression that equals 5.

Step-by-step explanation:

3 + 2 = 5, so any expression that equals 5 is equivalent to 3+2.

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3 years ago

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andreyandreev [35.5K]

Answer:

Just factorize the given plynomials.

Step-by-step explanation:

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2 years ago

Read 2 more answers

It takes 3/4 of an hour to paint 3/5 of a room. How long does it take to paint a room?

Dmitry [639]

Answer:

1 1/4 hours

Step-by-step explanation:

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3 years ago

The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

5 0

3 years ago

Express 10000 in Index form

9966 [12]

Answer:

10^4

Step-by-step explanation:

10×10×10×10=10,000, which is given number.

4 0

3 years ago