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1 year ago

A/4 - 5/6 = 1/2 a/4 - 5/6 = 1/2 help

Mathematics

1 answer:

alexgriva [62]1 year ago

8 0

Answer:

a = 16/3 or 5 1/3 or 5.33...

Step-by-step explanation:

to find a you must first make all of the denominators the same

you must find 4 6 and 2s CGF

and that is 12

so multiply a/4 by 3/3 and get 3a/12

then multiply 5/6 by 2/2 and get 10/12

and lastly multiply 1/2 by 6/6 and get 6/12

at this point you can set the equation up like this

3a/12 - 10/12 = 6/12

but then you can multiply everything by 12

3a - 10 = 6

and then solve

add 10 to both sides

3a = 16

then divide 3 on each side

a = 16/3 or 5 1/3 or 5.33...

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3 years ago

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If f(x)= 3x^2 + 3x^1/2 +3x what is the value of f(-9)

Dahasolnce [82]

Answer:

216 + 9i

Step-by-step explanation:

Given: f(x) = 3x² + 3 $x^{1/2}$ + 3x

When x = -9, f(x) equals to;

3(-9)² + 3(-9 $)^{1/2}$ + 3(-9)

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2 years ago

A conical perfume bottle has a radius of 3.2 centimeters and a height of 3.9 centimeters.

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For this case, we must find the volume of the perfume bottle, given by the volume of a cone.

$V = \frac {\pi * r ^ 2 * h} {3}$

Where:

r: It's the radio

h: It's the height

Substituting the values:

$V = \frac {3.14 * (3.2) ^ 2 * 3.9} {3}\\V = \frac {125.39904} {3}\\V = 41.79968 \ cubic \ centimeters$

Round off:

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Thus, the bottle contains 41.80 cubic centimeters of perfume

Answer:

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2 years ago

Write an absolute value inequality that

fiasKO [112]

Answer:

All real numbers greater than or equal to -1 and less than or equal to 2

Step-by-step explanation:

Let

A_1 ------> the area of rectangle

A_2 ----> the area of triangle

we know that

$\left|A_1-A_2\right|\le 6$

Find out the area of rectangle

$A_1=4(x+2)=(4x+8)\ units^2$

Find out the area of triangle

$A_2=(1/2)(4)(5)=10\ units^2$

substitute

$\left|(4x+8)-10\right|\le 6$

Simplify

$\left|4x-2\right|\le 6$

First case (positive value)

$+(4x-2) \leq 6$

$4x \leq 6+2$

$4x \leq 8$

$x \leq 2$

Second case (negative value)

$-(4x-2) \leq 6$

Multiply by -1 both sides

$(4x-2) \geq -6$

$(4x \geq -6+2$

$4x \geq -4$

$x \geq -1$

therefore

The solution for x is the interval -----> [-1,2]

All real numbers greater than or equal to -1 and less than or equal to 2

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2 years ago