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Basile [38]
3 years ago
12

Help me 20 points, please

Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0
Thanks but have to go
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Determine the next step for solving the quadratic equation by completing the square.
Studentka2010 [4]

Answer:

The solutions are x=\frac{1+\sqrt{7}}{2} and x=\frac{1-\sqrt{7}}{2}

Step-by-step explanation:

we have

0=-2x^{2}+2x+3

Group terms that contain the same variable, and move the constant to the opposite side of the equation

-3=-2x^{2}+2x

Factor the leading coefficient

-3=-2(x^{2}-x)

Complete the square. Remember to balance the equation by adding the same constants to each side.

-3-0.5=-2(x^{2}-x+0.5^{2})

-3.5=-2(x^{2}-x+0.5^{2})

Rewrite as perfect squares

-3.5=-2(x-0.5)^{2}

7/4=(x-0.5)^{2}

square root both sides

x-0.5=(+/-)\sqrt{\frac{7}{4}}

x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}

x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}

x=\frac{1+\sqrt{7}}{2}

x=\frac{1-\sqrt{7}}{2}

4 0
3 years ago
As an estimation we are told 5 miles is 8 km.<br> Convert 40 miles to km
k0ka [10]

Answer:

64.3738

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
To be able to do the problem 5(10 + 4) mentally, Zack does 50 + 20 instead of 5(14).
Eddi Din [679]

Answer:

1. Distributive

Step-by-step explanation:

This is because you multiply the number outside the parentheses into the numbers inside the parentheses.

Hope it helped.

8 0
2 years ago
Read 2 more answers
2x-5y=3 4y-x=-3 solve by elimination
loris [4]

Answer:

x = -1 and y = -1

Step-by-step explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 .............................................  equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient  of y  which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 .............................................  equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively

4 0
3 years ago
If a number cube is labeled with the numbers 1 through 6. what is the probablity of rolling a 1 or a 5 on the first roll?
kow [346]
It would be 2/6 or 1/3.
4 0
3 years ago
Read 2 more answers
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