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dmitriy555 [2]
2 years ago
9

Are the expressions 2 2 8 47 a ba − + and ( ) 2 53 2 6 a bb − + equivalent?

Mathematics
1 answer:
Lana71 [14]2 years ago
6 0
no the are equivalent
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Ten boys and twelve girls decide to rent a 16-passenger van and a 6-passenger to drive to a rock concert in a near by city. If t
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A) The probability that there are no boys in the car is given by:
P(no\ boys\ in\ car)=\frac{12C6}{22C6}=0.012
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2 years ago
I dont know how to do 3 3/4 divided by 1 1/8
Inga [223]

Answer: 10/3

Step-by-step explanation:

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3 0
3 years ago
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Find all real solutions to the equation (x² − 6x +3)(2x² − 4x − 7) = 0.
Jet001 [13]

Answer:

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ;  x = \frac{2-(3)\sqrt{2}}{2}

Step-by-step explanation:

Relation given in the question:

(x² − 6x +3)(2x² − 4x − 7) = 0

Now,

for the above relation to be true the  following condition must be followed:

Either  (x² − 6x +3) = 0 ............(1)

or

(2x² − 4x − 7) = 0 ..........(2)

now considering the equation (1)

(x² − 6x +3) = 0

the roots can be found out as:

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

for the equation ax² + bx + c = 0

thus,

the roots are

x = \frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times(3)}}{2\times(1)}

or

x = \frac{6\pm\sqrt{36-12}}{2}

or

x = \frac{6+\sqrt{24}}{2} and, x = x = \frac{6-\sqrt{24}}{2}

or

x = \frac{6+2\sqrt{6}}{2} and, x = x = \frac{6-2\sqrt{6}}{2}

or

x = 3 + √6 and x = 3 - √6

similarly for (2x² − 4x − 7) = 0.

we have

the roots are

x = \frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-7)}}{2\times(2)}

or

x = \frac{4\pm\sqrt{16+56}}{4}

or

x = \frac{4+\sqrt{72}}{4} and, x = x = \frac{4-\sqrt{72}}{4}

or

x = \frac{4+\sqrt{2^2\times3^2\times2}}{2} and, x = x = \frac{4-\sqrt{2^2\times3^2\times2}}{4}

or

x = \frac{4+(2\times3)\sqrt{2}}{2} and, x = x = \frac{4-(2\times3)\sqrt{2}}{4}

or

x = \frac{2+3\sqrt{2}}{2} and, x = \frac{2-(3)\sqrt{2}}{2}

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ; x = \frac{2-(3)\sqrt{2}}{2}

7 0
2 years ago
HELP ASAP (1O BRAILY/POINTS FOR ANSWER)
shutvik [7]

Step-by-step explanation:

x + y = 3 ---------------- eqn 1

y = -6x + 3 ------------- eqn 2

Substitute y for -6x + 3 in equation 1

x + -6x + 3 = 3

x - 6x + 3 = 3

-5x + 3 = 3

Collect like terms

-5x = 3 - 3

-5x = 0

Divide both sides by -5

x = 0

Hope this helped!

5 0
2 years ago
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Solve 7x + 1 < 4(x - 2).
andrey2020 [161]
 x<<span>−<span>3
hope this helps! (:</span></span>
4 0
3 years ago
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