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4 years ago

Help pls! Use truth tables to show the following are equivalent:

Mathematics

1 answer:

Darina [25.2K]4 years ago

7 0

B
a
c
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What is the value of x in the equation 3 / 2 (4x - 2) - 3x = 5 - (x + 2)? Please hurry.

OLga [1]

Answer:

Step-by-step explanation:

$\frac{3}{2} (4x - 2) - 3x = 5 - (x + 2)$

Expand

$\frac{3}{2} (4x - 2) = 6x - 3$

$- (x + 2) = - x - 2$

$6x - 3 - 3x = 5 - x - 2$

Collect like terms and simplify

$6x - 3x + x = 5 - 2 + 3 \\ 4x = 6$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{6}{4}$

simplify

$x = \frac{3}{2}$

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3 years ago

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Please help !<br> (cos Θ − cos Θ)^2 + (cos Θ + cos Θ)^2

Tamiku [17]

The answer is: " <span>4 cos² Θ " .
_____________________________________________
Explanation:
_____________________________________________</span>
(cos Θ − cos Θ)² + (cos Θ + cos Θ)²

   =   0² + (cos Θ + cos Θ)² ;

   = 0 + (2 cos Θ)² = (2 cos Θ)(2 cos Θ) ;

   = 4 (cos Θ)² = 4 cos² Θ .
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4 years ago

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5/3 (6x + 9) ≤ 2x − 5<br><br> step by step please

Sati [7]

Answer:

27.5 (is greater than) -2.5

Step-by-step explanation:

Distribute 5/3 to 6x and 9, (5/3•6x)+(5/3•9)=10x+15.

Set 10x+15 equal to 2x-5

10x+15=2x-5

(get rid of the smaller slope)

-2x -2x

8x+15=-5

+15 +15

8x=10

(divide by 8 to get the value of x)

8x divided by 8=x

10 divided by 8=1.25

x=1.25

Plug the known value of x back into the equations.

10(1.25)+15=27.5

2(1.25)-5=-2.5

27.5 (less than or equal to) -2.5 is incorrect. It would be

27.5 (is greater than) -2.5

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3 years ago

Devin bought 2 candy bars and she wants to share them equally amongst her 7 friends.How much of the cany bar will each friend re

lbvjy [14]

0.28. 2 divide by 7 =

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4 years ago

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Marnie solved the proportion 150/170=x/510 to find the value of X

maksim [4K]

Answer:

x = 450

510/170 = 3

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x = 450

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3 years ago