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3 years ago

Х 2+4 = 2(x - 1)? Can someone help me out

Mathematics

2 answers:

ELEN [110]3 years ago

8 0

Answer:

x=4/3

Step-by-step explanation:

2+4=2(x-1) original

6=2(x-1) combine like terms

6=2x-2 multiply x-1 by 2

8=2x add 2 to both sides

4=x divide both sides by 2

KonstantinChe [14]3 years ago

7 0

6=2x-2 Mueve los términos
-2x=-2-6 Calcula
-2x=-8 Divide ambos lados
X=4 Solución

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2 years ago

a car travels 120 mi. a second car, travelling 10 mph faster than the first car, makes the same trip in 1 hr less time. find the

Murrr4er [49]

Let x be the speed of the first car, then (x + 10) is the speed of the second car.

We can write the equation by the condition of the problem:

$\frac{120}{x}- \frac{120}{x+10}=1 \\ 120(x+10)-120(x)=1(x)(x+10) \\ 120x+1200-120x=x^2+10x \\ x^2+10x-1200=0 \\ D=b^2-4ac=10^2-4*1*(-1200) = 100+4800 = 4900 \\ x_{1,2}= \frac{-bб \sqrt{D} }{2a} \\ \\ x_1= \frac{-10- \sqrt{4900} }{2}= \frac{-10-70}{2} = -\frac{80}{2}=-40 \ \ \ \O$

$x_2= \frac{-10+ \sqrt{4900} }{2}= \frac{-10+70}{2} = \frac{60}{2}=30$ mph speed of the first car

Then 30+10=40 mph speed of the second car

Answer: 30mph and 40 mph.

I hope this helps.

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