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nirvana33 [79]
3 years ago
8

For which equation does it make the most sense to solve by completing the square?

Mathematics
1 answer:
daser333 [38]3 years ago
8 0

The equation for which square method is possible is x²-8=1

Step-by-step explanation:

For checking which of the equation satisfies the complete square condition, we proceed by checking each of the available options

1). x²+20x=52

Rewriting it as  x²+20x-52

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 1) and independent constant (i.e. 52) is not a perfect square.

2). 5x² + 3x = 9

This equation can be rearranged as 5x²+3x-9=0

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 5) and independent constant(i.e. 9) is not a perfect square.

3.) x² −8=1

This equation can be rearranged as  x²=9

Hence x= ±3

This binomial expression is a perfect square and can be done by the square method.

4). 3x² −x+17=0

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 3) and independent constant(i.e. 17) is not a perfect square.

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Simplify -3[5 - (-8 + 6)]<br> -21<br> -9<br> 21
Aloiza [94]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3[5-(-8+6)]  Equation/Question

Step 2

-3[5-(-8+6)]  Simplify

(-3)(7)

Step 3

(-3)(7)  Multiply

-21

Answer

-21

Hope this helps

8 0
2 years ago
g If the economy improves, a certain stock stock will have a return of 23.4 percent. If the economy declines, the stock will hav
dusya [7]

Answer:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

And the variance is given by:

Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

And finally the deviation would be:

Sd(X) = \sqrt{275.5105}= 16.599 \%

Step-by-step explanation:

We can define the random variable of interest X as the return from a stock and we know the following conditions:

X_1 = 23.4 , P(X_1) =0.67 represent the result if the economy improves

X_2 = -11.9 , P(X_1) =0.33 represent the result if we have a recession

We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing the data given we got:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

And the variance is given by:

Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

And finally the deviation would be:

Sd(X) = \sqrt{275.5105}= 16.599 \%

7 0
2 years ago
Please someone help
lana66690 [7]

Answer:

314.2

Step-by-step explanation:

Circumference of a circle is πr{2}

so 3.142 × 10{2}=314.2

3 0
2 years ago
Read 2 more answers
Solve for x. <br><br> 3x - 8x + 2 = 17<br><br> X=
Vsevolod [243]

Answer:

-3

Step-by-step explanation:

3x-8x=17-2

3x-8x=15

-5x=15

-x=15/5

-x=3

x=-3

3 0
2 years ago
What is the value of X
Zina [86]
The value of X is is equal to 1
4 0
3 years ago
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