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r-ruslan [8.4K]
3 years ago
12

Simplify. a - {4 b - [ a - (5 b - c ) + 3 c - ( a - b - 9 c )]}

Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0
The answer to this should be a-8b+13c

a - {4b - [a - (5b - c) + 3c - (a - b - 9c)]}
=a - {4b - [a - 5b + c + 3c - a + b + 9c]}
=a - {4b - [- 4b+ 13c]}
=a - {4b + 4b -13c}
=a - 8b + 13c


Hope this helped :)
Have a great day
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Answer:

y≥6−x ​

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​2 popcorn 5 pretzel

Step-by-step explanation:

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3 years ago
Help!! 50 points and brainliest!
Viktor [21]

Answer:

Second choice:

x=2t

y=4t^2+4t-3

Fifth choice:

x=t+1

y=t^2+4t

Step-by-step explanation:

Let's look at choice 1.

x=t+1

y=t^2+2t

I'm going to subtract 1 on both sides for the first equation giving me x-1=t. I will replace the t in the second equation with this substitution from equation 1.

y=(x-1)^2+2(x-1)

Expand using the distributive property and the identity (u+v)^2=u^2+2uv+v^2:

y=(x^2-2x+1)+(2x-2)

y=x^2+(-2x+2x)+(1-2)

y=x^2+0+-1

y=x^2

So this not the desired result.

Let's look at choice 2.

x=2t

y=4t^2+4t-3

Solve the first equation for t by dividing both sides by 2:

t=\frac{x}{2}.

Let's plug this into equation 2:

y=4(\frac{x}{2})^2+4(\frac{x}{2})-3

y=4(\frac{x^2}{4})+2x-3

y=x^2+2x-3

This is the desired result.

Choice 3:

x=t-3

y=t^2+2t

Solve the first equation for t by adding 3 on both sides:

x+3=t.

Plug into second equation:

y=(x+3)^2+2(x+3)

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

y=(x^2+6x+9)+(2x+6)

y=(x^2)+(6x+2x)+(9+6)

y=x^2+8x+15

Not the desired result.

Choice 4:

x=t^2

y=2t-3

I'm going to solve the bottom equation for t since I don't want to deal with square roots.

Add 3 on both sides:

y+3=2t

Divide both sides by 2:

\frac{y+3}{2}=t

Plug into equation 1:

x=(\frac{y+3}{2})^2

This is not the desired result because the y variable will be squared now instead of the x variable.

Choice 5:

x=t+1

y=t^2+4t

Solve the first equation for t by subtracting 1 on both sides:

x-1=t.

Plug into equation 2:

y=(x-1)^2+4(x-1)

Distribute and use the binomial square identity used earlier:

y=(x^2-2x+1)+(4x-4)

y=(x^2)+(-2x+4x)+(1-4)

y=x^2+2x+-3

y=x^2+2x-3.

This is the desired result.

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3 years ago
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A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The
Natasha_Volkova [10]

Answer:

The right answer is "0.2".

Step-by-step explanation:

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\bar{x_0} = 3.7

s_o=4.95

t_{\frac{0.05}{2} }=2.2621

As we know,

95% confidence for \mu_0 will be:

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The lower bound will be:

= 3.7-2.2621\times \frac{4.95}{\sqrt{10} }

= 0.16\simeq 0.2

The upper bound will be:

= 3.7+2.2621\times \frac{4.95}{\sqrt{10} }

= 7.23\simeq7.2

Thus the right answer is "0.2"

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3х2+9х+6<br> Foil method of
IgorLugansk [536]

Answer:

3(4+3x)

Step-by-step explanation:

See Image below.

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Previous
o-na [289]
Total weight of the 8 backpacks = 8 x 14 = 112 pounds

Total weight of the 12 backpacks = 12 x 9 = 108 pounds

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Mean weight of the 20 backpacks = 220 ÷ 20 = 11 pounds

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Answer: The mean weight of the 20 backpacks is 11 pounds
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3 years ago
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