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2 years ago

Simplify. your answer should only contain positive exponents.

Mathematics

1 answer:

Stels [109]2 years ago

3 0

$4 y^{2} x^{3}. 2x y^{-3}$

$4*2* x^{3+1}* y^{2-3}$

$8 x^{4} y^{-1}$

$\frac{8 x^{4} }{ y^{} }$

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Solve for x.

Ivahew [28]

ANSWER

$x=\frac{2-\sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

We have

$3x^2-4x-2=0$

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

$3x^2-4x=2$

Dividing through by 3 gives

$x^2-\frac{4}{3}x= \frac{2}{3}$

Adding $(-\frac{2}{3})^2$ to both sides gives

$x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2$

The expression on the Left Hand side is a perfect square.

$(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}$

$\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}$

$\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}$

$\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}$

Splitting the plus or minus sign gives

$x=\frac{2- \sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

3 0

2 years ago

Read 2 more answers

Is 4/16 equivalent to 0.25 and explain

egoroff_w [7]

Yes because if you do 4÷16 it is .25.
Hope it helps. If it doesn't comment on the bottom. I'll try to explain it more

7 0

2 years ago

Is 3pi/2pi a rational number or an irrational number? Explain your reasoning

Vadim26 [7]

Answer:

It is rational

Step-by-step explanation:

The pi terms cancel out when you divide. This is due to the rule x/x = 1 where x is any number you want except x cannot be zero. So replace x with pi and we have pi/pi = 1

Therefore,

(3pi)/(2pi) = (3/2)*(pi/pi)

(3pi)/(2pi) = (3/2)*1 .... use the rule mentioned above

(3pi)/(2pi) = 3/2

we get a fraction or a ratio of two whole numbers, so this proves that the given expression is rational.

7 0

2 years ago

What is the answer to this question and how would I solve it for when I have another question like it

Vesna [10]

Answer:

12.5663706144

If necessary, and if your system/teacher allows it, just keep it down to 1-3 decimals.

Hope I could help! :D

3 0

2 years ago

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I need the result of 14?2?7?3?9=10

PilotLPTM [1.2K]

Answer: yes

Step-by-step explanation:

7 0

2 years ago