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bixtya [17]
2 years ago
14

Y is inversely proportional to the square of x.

Mathematics
1 answer:
Mkey [24]2 years ago
4 0

Step-by-step explanation:

x²y = k, where k is a real constant.

When x = 3.5, y = 8.

=> (3.5)²(8) = k, k = 98.

When y = 8/9,

we have x²(8/9) = (98).

=> x² = 110.25

=> x = 10.5 or x = -10.5.

Since we want the negative value,

the answer is x = -10.5.

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X + 2y = 5 3x + 5y = 14 Solve the system of equations. (3, 1) (7, -1) (2, 3/2)
aniked [119]

Answer:

The solution is (3 , 1)

Step-by-step explanation:

To solve the system of the equation you can use the elimination method or substitution method.

We will use the substitution method

From the first equation x + 2y = 5⇒get  x = 5 - 2y

In the second equation 3x + 5y = 14⇒we will substitute x by 5 - 2y

3(5 - 2y) + 5y =14

15 - 6y + 5y = 14

-6y + 5y = 14 - 15

-y = -1

y = 1

Substitute the value of y in x = 5 - 2y

x = 5 - 2(1) = 5 -2 =3

∴ The solution of the system of equations is (3 , 1)

4 0
3 years ago
Read 2 more answers
Write the expression as a product:<br><br> 1–(2x–1)^2
postnew [5]

Answer:

1- ( { 2 x - 1)}^{2} =  4x (1  - x )

Step-by-step explanation:

We want to to rewrite

1 - ( { 2 x - 1)}^{2}

Use difference of two squares to get:

{a}^{2}  -  {b}^{2}  = (a + b)(a - b)

This implies that:

{1}^{2} - ( { 2 x - 1)}^{2}  = (1 +( 2x - 1))(1  - (2x  - 1))

{1}^{2} - ( { 2 x - 1)}^{2}  = (1 + 2x - 1)(1  - 2x   + 1)

This finally simplifies to:

{1}^{2} - ( { 2 x - 1)}^{2}  =  2x (2  - 2x )

Therefore the required product is

2x (2  - 2x ) = 4x(1 - x)

3 0
3 years ago
What is 9999 times 886 + 234
barxatty [35]

9999*886+234

(9999*886)+234

= 8859114+234

+ 8859348


I hope that's help !

7 0
3 years ago
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Mary has rehearsed her ballet solo for five and a half hours. A week from now, she wants to have rehearsed at least a total of n
djverab [1.8K]
The answer to this problem is 2
3 0
3 years ago
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If I want to buy a pair of sunglasses and the original price is $120, how much will I pay if they are 50% off? What if they were
gogolik [260]

Answer:

$60, $90

Step-by-step explanation:

Amount paid when 50% off

=$ 120 - 50/100 * 120 = $ 120 - $60 = $60

Amount paid when 25% off

=$ 120 - 25/100 * 120 = $ 120 - $30 = $90

4 0
3 years ago
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