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Brums [2.3K]
4 years ago
7

title=" \frac{3}{5} {x}^{2} - 2 = - 5" alt=" \frac{3}{5} {x}^{2} - 2 = - 5" align="absmiddle" class="latex-formula">
single variable quadratics
Mathematics
1 answer:
stira [4]4 years ago
7 0

Firstly, add 2 to both sides of the equation: \frac{3}{5}x^2=-3

Next, multiply both sides by 5/3: x^2=-5

Next, square root both sides: x= \pm \sqrt{-5}

Lastly, factor out i (i = √-1) and <u>your answer will be x= \pm \sqrt{5}i</u>

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FIND THE INDICATED PROBABILITY FOR THE FOLLOWING:
luda_lava [24]

The value of the probability P(A) is 0.40

<h3>How to determine the probability?</h3>

The given parameters about the probability are

P(A or B) = 0.6

P(B) = 0.3

P(A and B) = 0.1

To calculate the probability P(A), we use the following formula

P(A and B) = P(A) + P(B) - P(A or B)

Substitute the known values in the above equation

0.1 = 0.3 + P(A) - 0.6

Collect the like terms

P(A)= 0.1 - 0.3 + 0.6

Evaluate the expression

P(A)= 0.4

Hence, the value of the probability P(A) is 0.40

Read more about probability at

brainly.com/question/25870256

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3 0
2 years ago
Find two numbers such that their product, sum and difference are in the ratio 5:4:1'
wel

Answer:

3 1/3 and 2

Step-by-step explanation:

Let the numbers be x and y  and let z be the constant of proportion. Then

xy = 5z  ...............(1)

x + y = 4z ...........(2)

x - y = z ..............(3)     Adding (2) and (3)

2x = 5z

x = 5z/2   ................(4)

Substituting for x in equation 1:

5z/2 *  y = 5z

y = (5z * 2) / 5z = 2.

Substituting for  y in equations (2) and (3):

x + 2 = 4z

x - 2 = z            Subtracting:

4 = 3z

z = 4/3.

Substituting for z in equation (4)

x =  5(4/3) /2

x = 20/6 = 10/3 = 3 1/3.

So the 2 numbers are  3 1/3 and 2.

Checking the results:

xy = 2 * 10/3 = 20/3 = 5 * 4/3 = 5z

x + y = 10/3 + 2 = 16/3 = 4 * 4/3 = 4z.

x - y = 10/3 - 2 = 4/3 = z.

7 0
3 years ago
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valentina_108 [34]

Answer:

(x+4)(x-8)

Step-by-step explanation:

3 0
2 years ago
Sarah bought a shirt on sale for $35. The original price of the shirt was 3 times that amount. Sarah also bought a pair of shoes
Sphinxa [80]

Answer:

$245

Step-by-step explanation:

the shoes would have been $140 and the shirt $105

5 0
3 years ago
Rachel types 162words in 3 minutes. Rachel types at a constant rate.
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Answer:

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Explanation:

162/3 = 54

6 0
3 years ago
Read 2 more answers
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