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3 years ago

Solve for x. |2x - 8| - 2 = 16 - 2x

Mathematics

2 answers:

stealth61 [152]3 years ago

5 0

13/2 or 6 1/2 or 6.5

Arisa [49]3 years ago

4 0

Answer:

x = 9.9

Step-by-step explanation:

12x - 81-2 = 16- 2x

first, combine like terms so,

-81 - 2= -83

12x - 83 = 16 - 2x

now subtract 16 on both sides

12x - 83(-16) = 16(-16) - 2x

12x -99 = -2x

now subtract 12 on both sides

12x (-12) = 99 - 2x (-2)

10x = -99

now divide 10 on both sides

x = 9.9

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Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '[infinity]' or

soldi70 [24.7K]

Answer:

The limit of this function does not exist.

Step-by-step explanation:

$\lim_{x \to 3} f(x)$

$f(x)=\left \{ {{9-3x} \quad if \>{x \>< \>3} \atop {x^{2}-x }\quad if \>{x\ \geq \>3 }} \right.$

To find the limit of this function you always need to evaluate the one-sided limits. In mathematical language the limit exists if

$\lim_{x \to a^{-}} f(x) = \lim_{x \to a^{+}} f(x) =L$

and the limit does not exist if

$\lim_{x \to a^{-}} f(x) \neq \lim_{x \to a^{+}} f(x)$

Evaluate the one-sided limits.

The left-hand limit

$\lim_{x \to 3^{-} } 9-3x= \lim_{x \to 3^{-} } 9-3*3=0$

The right-hand limit

$\lim_{x \to 3^{+} } x^{2} -x= \lim_{x \to 3^{+} } 3^{2}-3 =6$

Because the limits are not the same the limit does not exist.

8 0

3 years ago

How many litres of milk can be put in six hemispherical bowl each of diameter 35cm

Lesechka [4]

Answer:

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.

Step-by-step explanation:

The volume of a hemisphere ( $V$ ), measured in cubic centimetres, is obtained from this formula:

$V = \frac{2\pi}{3}\cdot R^{3}$

Where $R$ is the radius of the hemisphere, measured in centimetres.

We know that radius is the half of the diameter ( $D$ ), measured in centimetres, then:

$R = 0.5\cdot D$

( $D = 35\,cm$ )

$R = 0.5\cdot (35\,cm)$

$R = 17.5\,cm$

Now, we get the volume of each hemispherical bowl:

$V = \frac{2\pi}{3} \cdot (17.5\,cm)^{3}$

$V \approx 11224.649\,cm^{3}$

The total volume of six hemispherical bowl is:

$V_{T} = 6\cdot V$

$V_{T}= 6\cdot (11224.649\,cm^{3})$

$V_{T} = 67347.894\,cm^{3}$

From Physics we know that 1 litre equals 1000 cubic centimetres. Then:

$V_{T} = 67.348\,L$

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.

3 0

3 years ago

WILL MARK BRAINY!!!

Nat2105 [25]

Answer:

Approximately 4 gallons

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Solve for 2.<br> -9x +5 < 17 AND<br> 13x + 25 < -1

Elena L [17]

Answer:

no solution

Step-by-step explanation:

-9x +5 < 17 AND 13x + 25 < -1

Solve each part separately and then put back together

-9x +5 < 17

Subtract 5 from each side

-9x+5-5< 17-5

-9x < 12

Divide each side by -9 remembering to flip the inequality

-9x/-9>12/-9

x > -4/3

and

13x + 25 < -1

subtract 25 from each side

13x +25-25 < -1-25

13x <-26

Divide by 13

13x/13 < -26/13

x <-2

There is no overlap so there is no solution

5 0

3 years ago

Read 2 more answers

When simplifying the fraction 2x/4, madison wrote 2x/4 = 2x. EXPLAIN WHY her answer is wrong and write the correct answer.

antiseptic1488 [7]

Answer:

x/2

Step-by-step explanation:

Madison didn't cancel the common factor of 2 and that 4 that is why she is wrong.

Hope this helps pls brainliest have a nice day :>

5 0

1 year ago