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alekssr [168]
3 years ago
5

2y = 4x - 8 y = x +4 Solve by substitution

Mathematics
1 answer:
Nataly [62]3 years ago
3 0

Answer:

x=8

Step-by-step explanation:

2(x+4)=4x-8

2x+8=4x-8

2x+8-8=4x-8-8

2x=4x-16

2x-4x=4x-16-4x

-2x=-16

Divide by -2 on both sides

and get... X=8

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Can someone please help me with these math problems ASAP?!<br> Thanks in advance! ;)
Mamont248 [21]

Answer:

11) Here given Function,

f(x) = \sqrt{2x-11}

And, g(x) = -|0.1|x+5

For f(x) = g(x)

\sqrt{2x-11}=-|0.1|x+5

2x-11=(-|0.1|x+5)^2

2x-11=0.01x^2 - 10|0.1|x+25

2x=0.01x^2 - 10|0.1|x+25+11

2x=0.01x^2 - 10|0.1|x+36

0.01x^2 - 10|0.1|x - 2x+36=0

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We found,

 x = 12.5227 ≈ 12.53

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12) Here the height of rocket A in x second,

f(x) = -16x^2+74x+9

And, The height gain by the rocket B in x seconds,

g(x) = -16x^2+82x

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

⇒ -16x^2+74x+9= -16x^2+82x

⇒74x + 9 = 82x

⇒ 82x - 74x = 9

⇒ 8x = 9

⇒ x = 1.125 ≈ 1.13

Thus, the required solution is x = 1.13 seconds (approx)


4 0
3 years ago
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