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3 years ago

15

Simplify each expression

1 answer:

Simora [160]3 years ago

3 0

$2x-2y-6x-3-2y+6=(2x-6x)+(-2y-2y)+(-3+6)\\\\=-4x-4y+3\\\\3x+4y+2y-4+5y-10=(3x)+(4y+2y+5y)+(-4-10)\\\\=3x+11y-14\\\\3x-6y-6+2x+6y+2=(3x+2x)+(-6y+6y)+(-6+2)\\\\=5x-4\\\\8x+2y+3x-9y+3x^2-2y=(3x^2)+(8x+3x)+(2y-9y-2y)\\\\=3x^2+11x-9y$

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X + 3y = −1<br> 2x + 2y = 6

hram777 [196]

$\left\{\begin{array}{ccc}x+3y=-1\\2x+2y=6&|divide\ both\ sides\ by\ (-2)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x+3y=-1\\-x-y=-3\end{array}\right}\\.\ \ \ \ \ \ \ \ \ 2y=-4\ \ \ \ |divide\ both\ sides\ by\ 2\\.\ \ \ \ \ \ \ \ \ \fbox{y=-2}\\\\subtitute\ the\ value\ of\ y\ to\ the\ equation\ x+3y=-1\\\\x+3\cdot(-2)=-1\\x-6=-1\ \ \ \ |add\ 6\ to\ both\ sides\\\fbox{x=5}\\\\Answer:\boxed{x=5\ and\ y=-2}$

5 0

4 years ago

You bought a laptop and paid initial $150 you will

poizon [28]

Answer:

Step-by-step explanation:

Total Cost = 150 + 69.50*12

Total Cost = 150 + 834

Total Cost = 984

Hidden in that is a 6% sales tax

Cost before sales tax = 1.06 * x = 984. This is the key step. The 6% sales tax is hidden in the 1.06. So you call the original price = x.

1.06 * x = 984 Divide by 1.06

x = 928.3 without the sales tax

The question seems to be answered by 984. The sales tax is in that cost.

5 0

3 years ago

Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45

barxatty [35]

The increase of 45 to 75 is a positive increase. The decrease from 75 to 45 is a negitive

7 0

3 years ago

Chase plays the piano and the cello. For every 2 hours he practices the piano, he practices the cello for 4 hours. If he practic

Julli [10]

The answer is a)
14
multiply by two throughout

3 0

4 years ago

Read 2 more answers

Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

Eduardwww [97]

Answer:

$1. ~e^5\\2. ~e^{\frac{3}{2}}\\3. ~e^6\\4.~ e^7$

Step-by-step explanation:

We have to simplify the given exponential expressions

Exponential properties:

$e^0 =1\\e^a.e^b = e^{a+b}\\\\\displaystyle\frac{e^a}{e^b} = e^{a-b}\\\\(e^a)^b = e^{ab\\\\e^{-a} = \frac{1}{e^a}$

Simplification takes place in the following manner:

1)

$(e^2)^\frac{5}{2}\\\text{Applying the exponential property}\\\\=e^{2\times \frac{5}{2}}\\= e^5$

2)

$(e^2)(e^{\frac{1}{2}})\\\text{Using the exponential propert}\\\\= e^{2 + \frac{1}{2}} = e^{\frac{3}{2}}$

3)

$(e^{-2})^{-3}\\= e^{-2\times -3}\\=e^6$

4)

$\displaystyle\frac{e^5}{e^{-2}}\\\\\text{Using exponential properties}\\\\= e^{5-(-2)} = e^7$

4 0

4 years ago