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Akimi4 [234]
3 years ago
10

Simplify (x^-2y^6/x^-4y^8)1/2

Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0
Simplify the following:
(y^6 y^8)/((2 x^2)/(x^4))
Combine powers. (y^6 y^8)/((x^2×2)/x^4) = (y^(8 + 6) x^(4 - 2))/2:
(y^(8 + 6) x^(4 - 2))/2
8 + 6 = 14:
(y^14 x^(4 - 2))/2
4 - 2 = 2:
Answer: (y^14 x^2)/2
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If 1/8(8x+15)24, what is the value of x?
Lelechka [254]

Answer:

x=22.125  or  x=\frac{177}{8}

Step-by-step explanation:

<u><em>The correct equation is</em></u>

1/8(8x+15)=24

solve for x

Multiply by 8 both sides to remove the fraction

(8x+15)=192

subtract 15 both sides

8x=192-15\\8x=177

divide by 8 both sides

x=\frac{177}{8}

x=22.125

3 0
3 years ago
Which is true about the functional relationship showing in the graph
Debora [2.8K]

Answer

Where’s the graph

:

Step-by-step explanation:

6 0
3 years ago
The function y=16x squared + 36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and inte
MissTica
Y = 16x^2 + 36
Lets find the intercepts, making x and y to zero and solving:
<span>0 = 16x^2 + 36
</span><span>16x^2 = -36
</span>therefore there is not x-intercept, that is, when y equals zero the function does not have a value, is not defined.
Now, the y intercept, that is when x equals zero:
<span>y = 16x^2 + 36
</span><span>y = 16(0)^2 + 36
</span>y = 36
so, when x = 0, y = 36, that is, the function hits the y axis when x = 0
8 0
3 years ago
Read 2 more answers
As a<br>Scientific notation<br>Express this number in standard form.<br>1.304 x 107 = ?​
aivan3 [116]

Answer:

13 040 000  

Step-by-step explanation:

To convert the scientific notation of a large number to a decimal number, move the decimal point as many places to the right as indicated by the exponent of 10.

Use zeros for placeholders as needed.

Move the decimal point seven places to the right

1.304 × 10⁷ = 13 040 000

We had to insert four zeros as placeholders.

1.304 × 10⁷ = 13 040 000

7 0
3 years ago
Simplify. <br><br> −3x3(−2x2+4x−3)
stepladder [879]

Answer:

-3x^3(-2x^2+4x-3) simplifies to 6x^5-12x^4+9x^3

Step-by-step explanation:

Given expression -3x^3(-2x^2+4x-3)

We have to simplify the above expression,

Consider the given expression -3x^3(-2x^2+4x-3)

Multiply each term in brackets by -3x^3, we get,

-3x^3(-2x^2+4x-3)=-3x^3(-2x^2)-3x^3(4x)[-3x^3(-3)

Solving further,  using x^n\cdot x^m=x^{n+m} we get,

-3x^3(-2x^2)-3x^3(4x)[-3x^3(-3)=6x^5-12x^4+9x^3

Thus, -3x^3(-2x^2+4x-3) simplifies to 6x^5-12x^4+9x^3


4 0
3 years ago
Read 2 more answers
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