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3 years ago

3x + 1 = 3(x - 1) + 4

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

7 0

Simplifying

3x + 1 = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[-1 + x] + 4

1 + 3x = [-1 * 3 + x * 3] + 4

1 + 3x = [-3 + 3x] + 4

Reorder the terms:

1 + 3x = -3 + 4 + 3x

Combine like terms: -3 + 4 = 1

1 + 3x = 1 + 3x

Add '-1' to each side of the equation.

1 + -1 + 3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

0 + 3x = 1 + -1 + 3x

3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

3x = 0 + 3x

3x = 3x

Add '-3x' to each side of the equation.

3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 0

This equation is an identity, all real numbers are solutions.

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Question 6

Firdavs [7]

So hmmmmm, notice... the boat went up in 3hrs, came back to the starting point in 2hrs, it went up 108km, it came back, well, from 108km to distance 0, so the distance on the way back is just the same 108km

now... let's say the stream has a speed rate of "r", and the boat has a still water speed rate of "b"

bear in mind that, when the boat is going UP, is not really going "b" fast, because the stream's "r" rate is going against it, and thus subtracting "r" from "b", so is really going " b - r " fast

when the boat is going down, is not going "b" fast either, because, again the stream's rate "r" is adding to it, because is going with the current, so is really going " b + r " fast

now, recall your d =rt, distance = rate * time

$\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&108&b-r&3\\
downstream&108&b+r&2
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
108=3(b-r)\implies \frac{108}{3}=b-r\\
\qquad 36=b-r\implies 36+r=\boxed{b}\\\\
108=2(b+r)\implies 54=b+r\\
\qquad 54=\boxed{36+r}+r
\end{cases}$

solve for "r"

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4 years ago

3x square - 6x + 3=0

solmaris [256]

Answer: 1

Step-by-step explanation:

First you need to multiply 3 x 3 (9), because that's all 3 squared means.

Now the equation should be 9x-6x+3=0

Next we need to combine like terms. Do 9x - 6x which should give you 3x

Now your equations should be 3x+3=0

Now for the somewhat harder part...

Under the three (the one without the x) write -3 and under the zero write the same thing. the +3-3 cancels out so just put a line or something across it.

0-3= -3

so now you should have...

3x=-3 ignore the 3x, at this point it's useless in getting the answer because it would cancel out.

-3 divided by -3 is 1 because a negative (-) divided by a negative (-) equals a positive (+).

The answer should be x = 1

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3 years ago

A paste is use to cover a billboard it’s made by mixing the following ingredients 4 parts powder ,three parts water , 2 parts re

ddd [48]

The total number of parts to the paste is 4+3+2+1 = 10. Of those, 2 parts are resin. If the "parts" are equal weight, then 2/10 of the weight is resin.

One billboard requires 30 pounds of paste, so 4 billboards will require 4·30 = 120 pounds. If 2/10 of the paste is resin, then (2/10)·(120 pounds) of resin will be required, or 24 pounds of resin.

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4 years ago

How to solve -1/4(p+16)=2

STALIN [3.7K]

P=-24

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Subtract 16 from both sides
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4 years ago

What is 3/100 - 1/50 equal?

vfiekz [6]

Answer:

0.01?

Step-by-step explanation:

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3 years ago

3x + 1 = 3(x - 1) + 4​

3x + 1 = 3(x - 1) + 4