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3 years ago

Simplify −2xy + 3x − 2xy + 3x A. 4xy +6x B. 2xy C. −4xy + 6x D. 4xy − 6x

Mathematics

2 answers:

jasenka [17]3 years ago

6 0

Answer:

$-4xy+6x$

Step-by-step explanation:

Simplify $-2xy + 3x - 2xy + 3x$

To simplify the given expression we combine like terms

the terms that has same variables are like terms

$-2xy-2xy= -4xy$

$3x+3x=6x$

$-2xy + 3x - 2xy + 3x$

The expression becomes

$-4xy+6x$

marysya [2.9K]3 years ago

4 0

First you must combine like terms, the two terms I this expression are x, and xy. So by adding -2xy to -2xy you get -4xy. Next you must add 3x to 3x. This gives you the simplified expression -4xy+6x. Hope this helps

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It takes approximately 4.65 quarts of milk to make a pound of cheese. Express this amount as a mixed number in simplest form.

ikadub [295]

The correct answer would be 4 and 13/20

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3 years ago

Mr. Robins earns a commission on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned

muminat

Answer:

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Step-by-step explanation:

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3 years ago

Please Help!! Use Euler’s formula to write in exponential form.

LekaFEV [45]

Answer:

C, $4e^{i(7\pi/4)}$

Step-by-step explanation:

To remind you, Euler's formula gives a link between trigonometric and exponential functions in a very profound way:

$e^{ix}=\cos{x}+i\sin{x}$

Given the complex number $2\sqrt{2}-2i\sqrt{2}$ , we want to try to get it in the same form as the right side of Euler's formula. As things are, though, we're unable to, and the reason for that has to do with the fact that both the sine and cosine functions are bound between the values 1 and -1, and 2√2 and -2√2 both lie outside that range.

One thing we could try would be to factor out a 2 to reduce both of those terms, giving us the expression $2(\sqrt{2}-i\sqrt{2})$

Still no good. √2 and -√2 are still greater than 1 and less than -1 respectively, so we'll have to reduce them a little more. With some clever thinking, you could factor out another 2, giving us the expression $4\left(\frac{\sqrt{2}}{2} -i\frac{\sqrt{2}}{2}\right)$ , and now we have something to work with.

Looking back at Euler's formula $e^{ix}=\cos{x}+i\sin{x}$ , we can map our expression inside the parentheses to the one on the right side of the formula, giving us $\cos{x}=\frac{\sqrt2}{2}$ and $\sin{x}=-\frac{\sqrt2}{2}$ , or equivalently:

$\cos^{-1}{\frac{\sqrt2}{2} }=\sin^{-1}-\frac{\sqrt2}{2} =x$

At this point, we can look at the unit circle (attached) to see the angle satisfying these two values for sine and cosine is 7π/4, so $x=\frac{7\pi}{4}$ , and we can finally replace our expression in parentheses with its exponential equivalent:

$4\left(\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}\right)=4e^{i(7\pi/4)}$

Which is c on the multiple choice section.

4 0

3 years ago

A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after

Lelu [443]

Answer:

Option A; 74.3 feet

Step-by-step explanation:

~ Here we can see that this problem is set to be so that compound interest is applied ~

1. If compound interest is to be applied, it would be that the "20 percent" is the interest, the principle number ( start value ) ⇒ 12 feet in height, and the time is 10 years.

2. Let us approach this problem step by step. Instead of substiting values into a compound interest formula, let us simply attempt a variation of that process...

3. 20 percent is, in a decimal form, ⇒ 0.2

4. Now add 1 to this value 0.2, to get ⇒ 1.2

5. If we were to consider the formula, 1.2 would first be exponentially multiplied by itself 10 time, considering that it is to the power of 10 years. In other words ⇒ 1.2^10 = 6.191736422..........

6. Now let us multiply this infinite value 6.19...... by the principle quantity 12 feet ⇒ 6.191736422.......... * 12 = (About) 74.30083707.......

7. If we were to round this value, it would be to ⇒ 74.3 feet, or in other words the first option; Option A

6 0

2 years ago

Solve x + 3y = 9 3x – 3y = -13 (1 point)

zavuch27 [327]

Answer:

(-1, 10/3)

x = -1

y = 10/3

Step-by-step explanation:

To solve a system, one of the methods you can use is elimination. To use elimination, you need a variable to have the same coefficient in BOTH equations. Since both equations have "3y", with the same coefficient (3), we can use this method.

We want to eliminate a variable by cancelling it out. Since positive 3y PLUS negative 3y is 0, the variable in eliminated. ADD each of the terms in the equations together.

. x + 3y = 9

+ 3x – 3y = -13

. 4x – 0y = -4 3y - 3y = 0

. 4x = -4 Divide both sides by 4 to isolate 'x'

. x = -1 Solved for the x-coordinate

Since we know one variable, 'x', we can easily find the other, 'y'. Substitute 'x' with -1 in any of the equations. Then, isolate 'x'.

x + 3y = 9

(-1) + 3y = 9

-1 + 1 + 3y = 9 + 1 Add 1 to both sides to cancel out left side.

3y = 9 + 1 Add on the right side (9 + 1 = 10)

3y = 10 Divide both sides by 3 to isolate 'y'

y = 10/3 Solved for the y-coordinate

Put the 'x' and 'y' coordinates together in an ordered pair, which you write as (x, y).

The solution to the system is (-1, 10/3).

5 0

3 years ago