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2 years ago

?????????????????????

Mathematics

1 answer:

Musya8 [376]2 years ago

4 0

<h2>Answer:</h2>

$-2x\sqrt{y}.$

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$\sqrt{x^2y} -3\sqrt{4x^2y}+\sqrt{9x^2y}$

<h3>2. Bring the x values out of the square root by taking the square root of them.</h3>

$x\sqrt{y} -3(2x)\sqrt{y}+3x\sqrt{y}$

<h3>3. Multiply.</h3>

$x\sqrt{y} -6x\sqrt{y}+3x\sqrt{y}$

<h3>4. Factorize and simplify.</h3>

$(x-6x+3x)(\sqrt{y})\\ \\(-2x)(\sqrt{y})\\ \\-2x\sqrt{y}$

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An equation for the depreciation of a car is given by y=A(1-r)t where y=current value of the car.A=original cost r=rate of depre

Ann [662]

<h3>Answer: Approximately 6.58 years old</h3>

The more accurate value is 6.57881347896059, which you can round however you need. I picked two decimal places.

==================================================

Explanation:

Let's pick a starting value of the car. It doesn't matter what the starting value, but it might help make the problem easier. Let's say A = 1000. Half of that is 1000/2 = 500.

So we want to find out how long it takes for the car's value to go from $1000 to $500 if it depreciates 10% per year.

The value of r is r = 0.10 as its the decimal form of 10%

t is the unknown number of years we want to solve for

---------------------------

y = A(1 - r)^t

500 = 1000(1 - 0.1)^t

500 = 1000(0.9)^t

1000(0.9)^t = 500

0.9^t = 500/1000

0.9^t = 0.5

log( 0.9^t ) = log( 0.5 )

t*log( 0.9 ) = log( 0.5 )

t = log( 0.5 )/log( 0.9 )

t = 6.57881347896059

Note the use of logs to help us isolate the exponent.

6 0

3 years ago

Write an equation that represents a horizontal translation 10 units left of the graph of g(x) = |x|

Vika [28.1K]

Answer: h(x) = |x+10|

---------------------------------------------------------

Explanation:

To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).

So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|

We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.

7 0

3 years ago

Read 2 more answers

(40 POINTS)

Y_Kistochka [10]

Answer:

1. f(0) = 501170

2. decreasing

3. 2% decrease

4. 302438

Step-by-step explanation:

In 1995 x=0

f(x) = 501170(0.98)^0

f(0) = 501170

The population is decreasing since we are multiplying by .98 ^x

.98 is less than 1 so it is getting smaller each time.

1 -.98 = .02

It is decreasing by 2 % each year

2020-1995 =25 years

f(25) = 501170(0.98)^25

=302438.41862

Rounding to the nearest whole number

302438

7 0

4 years ago

1 less than four times the sum of a number and 2

Viefleur [7K]

Answer:

4(n+2)-1

Step-by-step explanation:

It says 1 less than 4 times of a sum of a number and 2. This indicated parenthesis (n+2)

so 4 times (n+2)

4(n+2)

It says one less of 4(n+2)

4(n+2)-1

I hope this helps!

3 0

3 years ago

My little brother wants to know if these are equal 5(2j + 3 + j) = 3(5j + 4 + j)

balu736 [363]

Answer:

they are not equal to

Step-by-step explanation:

4 0

3 years ago