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7nadin3 [17]
3 years ago
14

Identify all of the solutions of 4x2 + 7 = 25.

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0

Answer:

Option A and C

x = + 3\sqrt{2}/2 \or x = - 3\sqrt{2}/2\\

Step-by-step explanation:

Given equation

4x^2 + 7 = 25\\=> 4x^2  = 25 - 7\\=>4x^2 = 18\\=> x^2 = 18/4\\=> x^2 = 9/2   \\=> \sqrt{x^2} =\sqrt{9/2} \\=> x = 3/\sqrt{2}  \ or -3/\sqrt{2}

In the above problem after finding value for x^2 we have found the square root of 9 which is 3 and 2 which is \sqrt{2}

x = + 3*\sqrt{2}/(\sqrt{2} *\sqrt{2})   \or  x = -3*\sqrt{2}/(\sqrt{2} *\sqrt{2}) \\\\ x = + 3\sqrt{2}/2 \or x = - 3\sqrt{2}/2\\

In the above equation we have rationalized the value of  1/\sqrt{2}

as in answer \sqrt{2} is present in numerator and not in denominator.

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Please decrease 90 by 20%
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Answer:

Step-by-step explanation:

90 by 20%

10%=9

20%=18

90-18=62

Hope u understand

4 0
3 years ago
A passenger on a bus walks towards the back of the bus at 3.0 km/h relative to the bus, while the bus travels south at 15 km/h.
liq [111]
The correct answer is E
7 0
4 years ago
Will give brainliest
luda_lava [24]

Answer:

P (A and B)=8/9

Events A and B are not dependent.

Step-by-step explanation:

Probability of A AND B means the the probability (favorable outcomes divided by total) of choosing someone who has/did BOTH A and B (not neither or only one of them). 16 did both, so the probability is 16/18 /2/2 = 8/9.

The events are independent (not dependent) because choosing A does not affect choosing B.

4 0
3 years ago
Read 2 more answers
Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his
andrew11 [14]

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years

4 0
3 years ago
What is the product in simplest form state any restrictions on the variable x^2+9x+18/x+ times x^2-3x-10/x^2+2x-24?
Ostrovityanka [42]

Answer:

<u>X^4+26X^3-24X^2-100 / X^2</u>

<u>(its a fraction btw)</u>

Step-by-step explanation:

ITS THE EQUATION SIMPLIFIED :)

x2+9x+ 18 x x2−3x− 10 x2 +2x−24

= x5+26x4−24x3−10x  x3

↓↓↓↓looks like this kinda ↓↓↓↓

x^4+26x^3−24x^2−10

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

            x^2

6 0
3 years ago
Read 2 more answers
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