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4 years ago

14

8x - 4 = 2(4x - 4) simplify.

1 answer:

Dennis_Churaev [7]4 years ago

4 0

$8x-4=2(4x-4)\ \ \ \ |\text{use distributive property}\\\\8x-4=(2)(4x)-(2)(4)\\\\8x-4=8x-8\ \ \ \ |-8x\\\\-4=-8\ \ \ FALSE\\\\Answer:\ NO\ SOLUTION\ (x\in\O)$

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Searches related to Searches related to A motorboat travels 135 kilometers in 3 hours going upstream. It travels 183 kilometers

svetlana [45]

Answer:

$\large \boxed{\sf \text{The rate of the boat is } 53 \ km/h \text{, the rate of the current is }8\ km/h \ \ }$

Step-by-step explanation:

Hello, let's note v the rate of the boat and r the rate of the current. We can write the following

$\dfrac{135}{v-r}=3=\dfrac{183}{v+r}$

It means that

$135(v+r)=183(v-r)\\\\135 v + 135r=183v-183r\\\\\text{ *** We regroup the terms in v on the right and the ones in r to the left***}\\\\(135+183)r=(183-135)v\\\\318r=48v\\\\\text{ *** We divide by 48 both sides ***}\\\\\boxed{v = \dfrac{318}{48} \cdot r= \dfrac{159}{24} \cdot r}$

But we can as well use the second equation:

$3(v+r)=183\\\\v+r=\dfrac{183}{3}=61\\\\\dfrac{159}{24}r+r=61\\\\\dfrac{159+24}{24}r=61\\\\\boxed{r = \dfrac{61*24}{183}=8}$

and then

$\boxed{v=\dfrac{159*8}{24}=53}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago

A basketball coach asks half his players to stretch before each game; the other players do not stretch. After a month of games,

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The correct answer is C. Randomizing the groups and calculating the means and difference of the means.

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Answer:

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Step-by-step explanation:

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Let f(x)=x^3+3 and g(x) = 2x^2 + 2x +1. What is g(f(-2))?

emmasim [6.3K]

Answer:

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Step-by-step explanation:

This composite function can be easily solved

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Now plug -5 for x in function g(x)

=2(5)²+2(5)+1

=50+10+1

=61

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3 years ago

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