Ask question

Ask question

All categories

4 years ago

15

Solve 1/3a2-1/a=1/6a2

2 answers:

nlexa [21]4 years ago

8 0

Solve for a over the real numbers:
a^2/3 - 1/a = a^2/6

Bring a^2/3 - 1/a together using the common denominator 3 a:
(a^3 - 3)/(3 a) = a^2/6

Cross multiply:
6 (a^3 - 3) = 3 a^3

Expand out terms of the left hand side:
6 a^3 - 18 = 3 a^3

Subtract 3 a^3 - 18 from both sides:
3 a^3 = 18

Divide both sides by 3:
a^3 = 6

Take cube roots of both sides:
Answer: a = 6^(1/3)

Veseljchak [2.6K]4 years ago

7 0

Answer:

on edg. its a= 1/6

Step-by-step explanation:

You might be interested in

Zachary travels on a journey of 50 miles. He spends half

ExtremeBDS [4]

Answer: 8 hours.

Step-by-step explanation:

We have the relation:

Time = distance/velocity

Distance = 50 miles

Velocity in horse = 9mph

Velocity walking = 3 1/2 mph = 3.5 mph

Then, if T is the total time, X is the distance that he travels in horse and Y is the distance that he travels by foot, we have:

X + Y = 50 miles:

T/2 = X/9mph

T/2 = Y/3.5mph

Then we have:

X/9mph = Y/3.5mph

X = Y*(9/3.5)

And by the first relation:

X = 50 mi - Y

then we have:

50mi - Y = Y*(9/3.5)

50mi = Y + Y*(9/3.5) = Y*(1 + 9/3.5) = Y*3.57

Y = 50mi/3.57 = 14mi

Then we have:

T/2 = 14mi/3.5mph

T = 2*(14/3.5) hours = 8 hours

7 0

3 years ago

Helium atoms have 2 electrons both have a -1 charge. Every proton has a +1 charge. If the helium atom has no charge, how many pr

kupik [55]

Answer:

The helium atom will have 2 protons.

8 0

3 years ago

Which statement is true about the data?

vladimir1956 [14]

Answer:

B

Step-by-step explanation:

The diagram shows two box plots.

Liam's box plot shows the median = 10

the range = 20 - 4 = 16

Sumat's box plot shows the median = 14

the range = 22 - 3 = 19

Difference between medians is 14 - 10 = 4

between ranges is 19 - 16 = 3

Thus, correct option is option B

7 0

3 years ago

Read 2 more answers

Factorise 3x^3 - 12xy^2

igomit [66]

Answer:

we can conclude that:

$3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)$

Step-by-step explanation:

Given the expression

$3x^3-12xy^2$

Let us factorize the expression

$3x^3-12xy^2$

Apply the exponent rule: $a^{b+c}=a^ba^c$

$3x^3\:-\:12xy^2=3xx^2-12xy^2$

Rewrite 12 as 4 · 3

$=3xx^2-4\cdot \:3xy^2$

Factor out the common term 3x

$=3x\left(x^2-4y^2\right)$

$\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)$

$=3x\left(x+2y\right)\left(x-2y\right)$

Therefore, we can conclude that:

$3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)$

8 0

3 years ago

A yogurt shop has vanilla, chocolate, strawberry, blueberry, and raspberry flavors served in small, medium, or large cups.

Hatshy [7]

Answer:

15 choices

Step-by-step explanation:

To answer this, we simply have to add all the flavors together, and multiply by the number of sizes:

5 × 3 = 15

So, there are 15 different yogurt choices possible

Hope this helps :)

5 0

3 years ago