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SIZIF [17.4K]
3 years ago
8

Can someone please help me finish the equation!!!!

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
7 0

Answer:

Step-by-step explanation:Tell me if the equation if it is wrong I will correct it.

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Someone help me out please
uysha [10]

1 step (B): raise both sides of the equation to the power of 2.

(\sqrt{x+3}-\sqrt{2x-1})^2=(-2)^2,\\   (x+3)-2\sqrt{x+3}\cdot \sqrt{2x-1}+(2x-1)=4,\\ 3x+2-2\sqrt{x+3}\cdot \sqrt{2x-1}=4.

2 step (A): simplify to obtain the final radical term on one side of the equation.

-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2.

3 step (F): raise both sides of the equation to the power of 2 again.

(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2.

4 step (E): simplify to get a quadratic equation.

4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0.

5 step (D): use the quadratic formula to find the values of x.

D=(-32)^2-4\cdot 16=1024-64=960, \\ \sqrt{D} =8\sqrt{5} ,\\ x_{1,2}=\dfrac{32\pm 8\sqrt{5}}{2} =16\pm 4\sqrt{5}.

6 step (C): apply the zero product rule.

x^2-32x+16=(x-16-4\sqrt{5}) (x-16+4\sqrt{5}) ,\\ (x-16-4\sqrt{5}) (x-16+4\sqrt{5}) =0,\\ x_1=16+4\sqrt{5} ,x_2=16-4\sqrt{5}.

Additional 7 step: check these solutions, substituting into the initial equation.

3 0
3 years ago
Alec opened up a savings account with $2,500 and the account will earn 3.5% simple interest. How much money will he have in 15 y
inna [77]

Answer:

3812.5

Step-by-step explanation:

2500 x 3.5% = 87.5 x 15 = 1312.5 + 2500 = 3812.5

8 0
2 years ago
Read 2 more answers
. There are 11 boys and 5 girls that tried out to
Lisa [10]

We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458

If we assume that the selection is totally random, then all the students have the same<em> </em><em>probability </em><em>of being chosen.</em>

This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:

P = 11/16

For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).

Q = 10/15

The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:

Probability = P*Q = (11/16)*(10/15) = 0.458

So the probability that both students chosen for the duet are boys is 0.458

If you want to learn more, you can read:

brainly.com/question/1349408

5 0
2 years ago
Please someone help I am so lost.
HACTEHA [7]
You'll have to do the actual multiplication here:

  3(n+2)(4n+1)         1        4n^2 + n + 8n + 2
 -------------------- = -----  *  ---------------------------
            6                   2                    1

or (1/2) (4n^2 + 9n + 2), which, after mult., becomes

(1/2)(4n^2) + (1/2)(9n) + 1


This simplifies to 2n^2 + (9/2)n + 1

Therefore, write (1/2) in the first box and (1) in the second box.
7 0
3 years ago
3 2/3 x 1/5= please help
Nonamiya [84]

Answer: 11/15

Step-by-step explanation:

6 0
3 years ago
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