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2 years ago

3+7=6-|-x|Solve for x. Thanks :)

Mathematics

2 answers:

KIM [24]2 years ago

4 0

$3+7=6-|-x|\\10=6-|x|\\|x|=-4\\x\in\emptyset$

ale4655 [162]2 years ago

3 0

Answer:

no solution

Step-by-step explanation:

| | is a notation for absolute value, which is the distance that a number is from 0.

you can think of this as the "positive version" of a number

so, |-x| will become: x

We can plug this into the equation, and solve like we would for any variable

3 + 7 = 6 - |-x| {simplify}

3 + 7 = 6 - x {simplify}

10 = 6 - x

Now, we can isolate x (isolate = get it alone)

10 = 6 - x

-6 - 6 {subtract 6 from both sides}

4 = -x {multiply both sides by -1 to get positive x}

·-1 ·-1

- 4 = x

{check solution:}

3 + 7 = 6 - | -4 |

10 = 6 - 4

10 = 2

FALSE

because this solution has been found to be false, there is no possible value for x

we write this as: no solution

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On top is the cone of radius 10 and slant height 15 in. To find the volume of this cone-shaped solid, we'll need the height of the cone. This can be found using the Pyth. Thm. as follows:

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193 how much was your original deposit? 29 Origin

Wittaler [7]

Answer:

The original amount deposit is $1641627.68.

Step-by-step explanation:

Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.

To find : How much was your original deposit?

Solution :

Applying interest formula,

$A=P(1+r)^t$

Where, A is the amount i.e. A=$3783193

P is the principal value i.e. the original deposit

r is the interest rate r=11%=0.11

t is the time t=8 years.

Substitute the value in the formula,

$3783193=P(1+0.11)^8$

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$3783193=P\times 2.30$

$P=\frac{3783193}{2.30}$

$P=1641627.68$

Therefore, The original amount deposit is $1641627.68.

3 0

3 years ago

3+7=6-|-x|Solve for x. Thanks :)​

3+7=6-|-x|Solve for x. Thanks :)