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2 years ago

Pleaseer❤️❤️ help me

Mathematics

1 answer:

defon2 years ago

8 0

Answer:

1)D 2)C 3)A 4)B 5) A

Step-by-step explanation:

1) The area rectangle is 36x^2 -1

We know ,

A= l*b

=36x^2 -1

=(6x)^2 -1

=(6x+1) (6x-2)

This the value of l,b respectively.

So, Perimeter of rectangle is 2(l+b)

P=2(6x+1) + 2(6x-1)

=24x

2)The area of square is 4(x+5)^2

We know,

A=l^2

=4(x+5)^2

=4(x^2 + 10x + 25)

=(2x+10)^2

This is the value of l=2x+10.

So, Perimeter of square is 4l

P=4(2x+10)

=8x+40

3)The fully factorized form is

= -2x^2 + 10x +12

= -2x^2 + 12x -2x +12

= -2x(x-6) -2(x-6)

= -2(x-6) (x+1)

4)The fully factorized form is

=x^4 -81

=(x^2)^2 -9^2

=(x^2 + 9) (x^2 - 9)

=(x^2 + 9) (x^2 - 3^2)

=(x^2 + 9) (x + 3) (x - 3)

5)The fully factorized form is

= 5x^4 - 320

= 5(x^4 - 64)

= 5((x^2)^2 - 8^2)

= 5(x^2 + 8) (x^2-8)

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2 years ago

Use the following figure to find the value of x <br>(plz help)

masha68 [24]

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2 years ago

The cube root of 5 times the square root of 5 over the cube root of 5 to the 5th power

Fiesta28 [93]

(cube root of 5) * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)

This becomes easier if we switch to fractional exponents:

5^(1/3) * 5^(1/2) 5^(1/3 + 1/2) 5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
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1
Thus, 5^[5/6 - 5/3] = 5^(-5/6) = --------------
5^(5/6)

That's the correct answer. But if you want to remove the fractional exponent from the denominator, do this:

1 5^(1/6) 5^(1/6)
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7 0

3 years ago

-6.3x+14 and 1.5x-6<br> answer in simplified form

koban [17]

Answer:

The simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

Step-by-step explanation:

We have to simplify the following

-6.3x+14 and 1.5x-6

it can be written as:

=(-6.3x+14) + (1.5x-6)

Adding the like terms

=(-6.3x+1.5x)+(14-6)

= (-4.8x)+(8)

= -4.8x+8

So, the simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

3 0

2 years ago

Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 15% to pay off an old debt. He

charle [14.2K]

Answer:

Chan's Bonus amount was $2400.

Step-by-step explanation:

Let the Total amount receive from bonus be 'x'.

Given:

Chan pays 30% in taxes;

So we can say;

Amount paid in taxes will be equal to 30% of total amount receive

framing in equation form we get;

Amount paid in taxes = $\frac{30}{100}x=0.3x = 0.3x$

Now Given:

Chan pays 30% in Charity;

So we can say;

Amount paid in charity will be equal to 30% of total amount receive.

framing in equation form we get;

Amount paid in Charity = $\frac{30}{100}x=0.3x$

Also Given:

Chan pays 30% in old debts;

So we can say;

Amount paid in Old debts will be equal 30% of total amount receive

framing in equation form we get;

Amount paid in Old debts = $\frac{15}{100}x=0.15x$

Money left with him = $600

Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.

framing in equation form we get;

$x=0.3x+0.3x+0.15x+600\\\\x= 0.75x +600\\\\x-0.75x=600\\\\0.25x=600\\\\x=\frac{600}{0.25} = \$2400$

Hence Chan's Bonus amount was $2400.

7 0

2 years ago