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3 years ago

- |2| what does this mean?

Mathematics

2 answers:

Lady_Fox [76]3 years ago

4 0

| | these are absolute value brackets anything in the brackets will always be positive

Helga [31]3 years ago

3 0

-2 is the answer

Step-by-step explanation:

-2 is the answer because any thing with | | around it means it's a positive number. but the negative sign makes it negative.

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In Jenny's bucket there are 7 brown worms and 10 red worms. Jenny is going to choose 11 worms at random from the bucket to use f

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Answer is 0.113 which is = 11.3%

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3 years ago

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Please can I get an answer for this?

Colt1911 [192]

Answer:

2556

Step-by-step explanation:

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3 years ago

Find the value of the variable y, where the sum of the fraction 2/y-3 and 6/y+3 is equal to the quotient.

NISA [10]

Answer:

Here we need to solve:

$\frac{2}{y - 3} + \frac{6}{y + 3 } = \frac{\frac{2}{y-3}}{\frac{6}{y + 3} }$

The sum of the fractions is equal to the quotient between the fractions.

Notice that the two values:

y = 3

y = -3

make the denominator equal to zero, so those values are restricted.

We can simplify the right side to get:

$\frac{2}{y - 3} + \frac{6}{y + 3 } = \frac{\frac{2}{y-3}}{\frac{6}{y + 3} } = \frac{2*(y + 3)}{6*(y - 3)} = 3*\frac{y + 3}{y - 3}$

Now we can multiply both sides by (y - 3)

$(y - 3)*(\frac{2}{y - 3} + \frac{6}{y + 3 }) = 3*(y + 3)\\2 + 6*\frac{y -3}{y + 3} = 3*(y + 3)$

Now we can multiply both sides by (y + 3)

$(2 + 6*\frac{y -3}{y + 3})*(y + 3) = 3*(y + 3)*(y + 3)$

$2*(y + 3) + 6*(y - 3) = 3*(y + 3)*(y + 3)\\\\2*y + 6 + 6*y - 18 = 3*(y^2 + 2*y*3 + 9)\\\\8*y - 12 = 3*y^2 + 6*y + 33\\\\0 = 3*y^2 + 6*y + 33 - 8*y + 12\\\\0 = 3*y^2 - 2*y + 45$

First, let's see the determinant of that quadratic equation:

$D = (-2)^2 - 4*3*45 = -536$

We can see that it is negative, thus, there are no real solutions of the equation.

Thus, there is no value of y such that the origina equation is true,

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3 years ago

Given AB is a diameter, find the measure of

Sonbull [250]

Answer:

Angle BCA = 90

Step-by-step explanation:

A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle

Where the angle opposite of the hypotenuse ( or diameter ) is the right angle

Angle BCA is the angle opposite of the diameter

Hence BCA = 90

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3 years ago

Solve the linear equation: 3.4 + 2(9.7 – 4.8x) = 61.2 What are the possible steps involved in solving this equation? Check all t

DochEvi [55]

Answer:

Distribute 2 to 9.7 and −4.8x.
Combine 3.4 and 19.4.
Subtract 22.8 from both sides.
Divide both sides by −9.6

Step-by-step explanation:

Here is the recommended solution method:

3.4 + 2(9.7 – 4.8x) = 61.2 . . . . . given

3.4 + 19.4 - 9.6x = 61.2 . . . . . . . distribute 2 to 9.7 and -4.8x

22.8 - 9.6x = 61.2 . . . . . . . . . . . . combine 3.4 and 19.4

-9.6x = 38.4 . . . . . . . . . . . . . . . . . subtract 22.8 from both sides

x = -4 . . . . . . . . . . . . . . . . . . . . . . divide both sides by -9.6

_____

<em>Alternate solution method using different steps</em>

You can also "undo" what is done to the variable, in reverse order. The variable has these operations performed on it:

multiply by -4.8
add 9.7
multiply that sum by 2
add 3.4 to the product

So, another possible solution method is this:

3.4 + 2(9.7 – 4.8x) = 61.2 . . . . . given

2(9.7 -4.8x) = 57.8 . . . . . . . . . . . add the opposite of 3.4 (undo add 3.4)

9.7 -4.8x = 28.9 . . . . . . . . . . . . . divide by 2 (undo multiply by 2)

-4.8x = 19.2 . . . . . . . . . . . . . . . . . add the opposite of 9.7 (undo add 9.7)

x = -4 . . . . . . . . . . . . . . . . . . . . . . divide by -4.8 (undo multiply by -4.8)

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4 years ago

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