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SVEN [57.7K]
3 years ago
12

1. Solve: 6x - 12 < 6 2. Solve: 2(3x-8) >8

Mathematics
1 answer:
8090 [49]3 years ago
4 0

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6  equation

step 2

6x - 12 < 6  simplify

6x-12+12<6+12

step 3

6x<18  Divide both sides

\frac{6x}{6}

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8  equation

step 2

2(3x-8) >8  simplify

6x-16+16>8+16

step 3

6x>24  divide both sides

\frac{6x}{6} >\frac{24}{6}

answer

x>4

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Tree C is the proper tree. The first game has the possibility of a win, a loss, or a tie which the first row represents. The second game could also win, lose or tie, meaning each result would have each possibilty for that game.

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3 years ago
a piece of fossilized tree trunk is possibly 4000 years old. The sample contains 65% of the original amount of carbon-14. Is the
Fiesta28 [93]

Answer:

  no

Step-by-step explanation:

Let f represent the fraction of C-14 remaining as a function of the time t in years. Since the half-life of C-14 is about 5570 years, we have ...

  f = (1/2)^(t/5570)

Taking the log and solving for t, we get ...

  log(f) = (t/5570)log(1/2)

  5570·log(f)/log(1/2) = t

Filling in the given value for f, the value of t we get is ...

  5570·log(0.65)/log(0.5) = t ≈ 3462

It appears the estimate of 4000 years is a bit high.

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3 years ago
What are the solutions to the following system? StartLayout Enlarged left-brace 1st row negative 2 x squared + y = negative 5 2n
Yakvenalex [24]

Answer:

(\sqrt{2},-1),(-\sqrt{2},-1)

(StartRoot 2 EndRoot, negative 1) and (negative StartRoot 2 EndRoot, negative 1)

Step-by-step explanation:

we have

-2x^{2} +y=-5 ----> equation A

y=-3x^{2} +5 -----> equation B

solve by substitution

substitute equation B in equation A

-2x^{2} +(-3x^{2} +5)=-5

solve for x

-5x^{2} +5=-5

-5x^{2}=-10

x^{2}=2

x=\pm\sqrt{2}

<em>Find the value of y</em>

y=-3x^{2} +5

For x=\sqrt{2} ----> y=-3(\sqrt{2})^{2} +5=-1

For x=-\sqrt{2} ----> y=-3(-\sqrt{2})^{2} +5=-1

therefore

The solutions are

(\sqrt{2},-1),(-\sqrt{2},-1)

(StartRoot 2 EndRoot, negative 1) and (negative StartRoot 2 EndRoot, negative 1)

8 0
4 years ago
Read 2 more answers
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Answer:

-10

Step-by-step explanation:

-2 + ? = -12

+2          +2

?= -10

3 0
3 years ago
Factor the expression completely 6ab+10b-8bs
laila [671]
You can factor out 2b
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