simplifying radicals worksheet algebra 2

Answer:

1 - 2x > 13

Step-by-step explanation:

this is the correct answer

Yes the product of two perfect squares is always a perfect square, But the quotient of two perfect squares is not always a perfect square.

A perfect square is a number that can be expressed as the product of an integer multiplied by itself.

Examples of perfect squares include 4 (2*2), 9 (3*3), and 25 (5*5).

The quotient is the result obtained after performing division of one number by another. It is the number of times that the divisor can be subtracted from the dividend until the remainder is smaller than the divisor.

The product of two perfect squares is always a perfect square because the root of the products is equal to the product of roots as shown below,

let us take the two perfect squares 4 and 9, so the square root of 4*9 is,

[tex]\sqrt{4*9} =\sqrt{4} *\sqrt{9} \ =2*3=6[/tex]

But , the quotient of two perfect squares is a perfect square,

When we divide two perfect squares we are not always going to get a quotient that can be represented as the square of an integer. For example, (36/16) = 9/4 which is not a perfect square.

However, if the numerator and denominator in the quotient are the same perfect square then the quotient will be 1 which is a perfect square.

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Answer:

y= 4/3x + 2

Step-by-step explanation:

The slope is rise/run. It would be 8/6. Once you simplify, it's 4/3. the y intercept is at 2. Put it together, and there's your answer.

hope this helps!!

The statements that are true, based on the multiples of 3 and 6 are:

When a number is a multiple of a smaller number, then all the multiples of that larger number, will be the multiples of the smaller number.

This means that all the multiples of 6 ( including b ) will be multiples of 3 as well because 6 is a multiple of 3.

It is also interesting to note that the difference between the multiples of 3 are also multiples of 3. This means that a - b will result in a number that is a multiple of 3.

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The provided function, f(x)=(.8)^x, has a 20% rate of decay.

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.

given, a function  f(x)=(.8)^x. To calculate the decay rate of this function.

The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula. F(x) = a (1 - r)x is the general form.

Where

a = the initial amount

1-r is the decay factor

x = time span

from the given expression,

Decay factor = 0.8

That is also equal to 1 - r

1 - r = 0.8

r  =0.2

Thus, rate of decay = r * 100%

rate of decay = 0.2 * 100 = 20%

therefore, The rate of the  of the given function  f(x)=(.8)^x is 20%.

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Answer:

B is the perfect square

Step-by-step explanation:

Answer:

7/10 and 5/7 the ratio does not form a proportion

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Actually Welcome to the concept of Trigonometric Ratios.

10.) Cos 40° = z/32 , Hence z = 24.51

11.) Sin 58° = 27/x , hence x = 31.83

12.) Tan 33° = w/19 , hence w = 12.33

13.) Cos 52° = k/8.7, Hence k = 5.35

When given expression 2x (x + 3y) +5 (2x - 2) simplified completely then it would have 4 terms.

Consider given expression.

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

We simplify above expression.

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

= [(2x × x) + (2x × 3y)] + [(5 × 2x) - (5 × 2)]       ......(distributive property)

= [2x² + (2 × 3)xy] + [(5×2)x - 10]               ............(commutative property)

= (2x² + 6xy) + (10x - 10)

= 2x² + 6xy + 10x - 10

= 2x² + 10x + 6xy - 10     ...........(by commutative property of addition)

when given expression simplified completely then it would be,

2x (x + 3y) +5 (2x - 2) = 2x² + 10x + 6xy - 10    

The number of terms in an expression 2x² + 10x + 6xy - 10 are 4

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The multiplicative rate of change of the exponential function represented in the table is 1.5.

Option A is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the multiplicative rate of change of the exponential function represented in the table, we need to look at the ratio of consecutive

y-values.

The first ratio is:

6.75 / 4.5 = 1.5

The second ratio is:

10.125 / 6.75 = 1.5

The third ratio is:

15.1875 / 10.125 = 1.5

Since all three ratios are the same, we can conclude that the function is exponential with a constant multiplicative rate of change equal to 1.5.

Therefore,

The multiplicative rate of change of the exponential function represented in the table is 1.5.

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Answer:

= 69

Step-by-step explanation:

Combine multiplied terms into a single fraction, Distribute, then Multiply all terms by the same value to eliminate fraction denominators.

1) 5/9 ( y + 3 ) = 40 or 5(y + 3) / 9 = 40

2) 5y + 15 / 9 = 40

3) 9 ( 5y + 15 / 9) = 9 40

Answer:

$22

Step-by-step explanation:

27.50 20 present off so you get 5.5 substract and u get 22

Answer:

6.2 < x < 26.6

Step-by-step explanation:

The length of a side of a triangle is between the difference and the sum of the lengths of the other two sides.

16.4 - 10.2 = 6.2

16.4 + 10.2 = 26.6

Let x = length of third side.

6.2 < x < 26.6

Answer:

Step-by-step explanation:

L x W = A

L = 30 * 15 = 450.

L = 450.

L x W = A

450 x ? = A

W = 20 X 15

W = 300.

L x W = A

450 x 300 = A

A = 135,000

The simplified ratio that compares 5 meters to 100 centimeters is 5: 1 .Option A

Ratio is simply described as the non equal comparison of two numbers, variables, or events.

It shows how many times a number or variable contains another.

The comparison is also based on size.

From the information given, we have;

5 meter to 100 centimeters

It is important to note that;

100 centimeters = 1 meters

Also, 1 meter= 100 centimeters

5 meters = x centimeters

cross multiply

x = 100(5)

Multiply the values

x = 500 centimeters

Then,

5 meters = 1 meter

Hence, the ratio is 5:1

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Answer:6

Step-by-step explanation:

Answer:

Step-by-step explanation:6

Answer:

n o

Step-by-step explanation:

I refuse to help. punish me and put me in the toilet

jk lol

Answer:

i throw u in a toilet

Step-by-step explanation:

now u in a toilet

 As per Given data,

The month in which the balance of two bank accounts A is become equal to the balance of account B is 30thmonths,

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

Month       Account A        Account B

 0                    $ 100                 $ 250  

  1                    $ 125                 $ 270

  2                   $ 150                 $ 290

Clearly

The amount in account A is growing with $25 each month. Thus, the amount in this account in nth month is,

100+25[tex]n[/tex]

The amount in account B is just growing with $20. Thus, the amount in this account in nth month is,

250+20[tex]n[/tex]

x month

balances of two

account becomes equal,

then

100 + 25x =250 + 20x

25x - 20x = 250 - 100

5x = 150

x =30

Therefore, in 30th month balance of account A equal to balance of account B

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Q. The table shows the balances of two bank accounts for 3 months. In 30th month will the balance of account A be equal to the balance of account B?

Month       Account A      Account B

   0               $100                $250

    1               $125                 $270

    2              $150                 $290

Answer:

The volume formula is pi r^2h because it is similar to the formula to the area of a circle with an extra addition of the height variable, since a cylinder is just a circle with depth. The surface area formula is 2pirh +2pi r^2 because it measures the area of both circles as well as the depth. This formula is similar to the circumference formula of a circle.

Step-by-step explanation:

Mark me brainliest pls

Answer:

$6.43

Step-by-step explanation:

8.50 times 0.30=2.55

8.50-2.55=5.95

5.95 times 0.08=0.476

0.476+5.95=6.426 rounded would be $6.43

Answer:

i think the answer is b

Step-by-step explanation:

Answer:

b) is correct dear!

Step-by-step explanation:

see it carefully .... you will come to know ! *b* one is exactly right.....

Answer:

Solution of a System. In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.

Answer: A) The ordered pairs must lie near the graphed equation

Answer:

10 and -5

Step-by-step explanation:

10(-5) = -50

10 + (-5) = 5

Good luck!

Answer:

10 and -5

Step-by-step explanation:

Answer:

Hope the picture helps you draw.

Step-by-step explanation:

Answer:

i think it's reflection followed by translation

Step-by-step explanation:

Answer:

step 1) glide translation of EFG by one unit to the left and 2 units down

step 2) reflection over the x-axis

Step-by-step explanation:

The odds against Arjun taking the longest trail are 4 : 9 .

The probability that when Arjun is hiking from the mountain lodge to the nearby summit, he takes the longest trail, is 5 / 9.

This means that the odds that Arjun will not take the longest trail, or rather, the odds against him taking the longest trail, will be the difference between 1 and the probability that he takes the longest trail:

= 1 - 5 / 9

= 4 / 9

When given as a ratio, this would be:

=  4 : 9

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