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Tpy6a [65]
2 years ago
15

A = 8, b = 4, and c = 16

Mathematics
2 answers:
horsena [70]2 years ago
5 0
<h3>Answer: \sf 3\dfrac{4}{31} \quad or \quad \dfrac{97}{31}</h3>

-------------------------------------------------------------------------------------------------------

The given expression:

\sf \dfrac{2b + 3c^2}{4a^2 - 2b}

Here given <u>a = 8</u>, <u>b = 4</u>, and <u>c = 16</u>

<u />

Inserting this values

\sf \dfrac{2(4) + 3(16)^2}{4(8)^2 - 2(4)}

Simplify following

\sf \dfrac{8 + 3(256)}{4(64) - 8}

Distribute inside parenthesis

\sf \dfrac{8 + 768}{256 - 8}

Add/Subtract similar terms

\sf \dfrac{776}{248}

Simplify following, in improper fraction

\sf \dfrac{97}{31}

In mixed fraction, answer:

\sf 3\dfrac{4}{31}

Vsevolod [243]2 years ago
4 0

Answer:

3 \frac{4}{31}

Step-by-step explanation:

\frac{2(4) + 3(16) {}^{2} }{4(8) {}^{2} - 2(4) }

\frac{776}{248}

3 \frac{4}{31}

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Calculus question?
Ann [662]
Remark
If you don't start exactly the right way, you can get into all kinds of trouble. This is just one of those cases. I think the best way to start is to divide both terms by x^(1/2)

Step One
Divide both terms in the numerator by x^(1/2)
y= 6x^(1/2) + 3x^(5/2 - 1/2)
y =6x^(1/2) + 3x^(4/2)
y = 6x^(1/2) + 3x^2   Now differentiate that. It should be much easier.

Step Two
Differentiate the y in the last step.
y' = 6(1/2) x^(- 1/2) + 3*2 x^(2 - 1)
y' = 3x^(-1/2) + 6x  I wonder if there's anything else you can do to this. If there is, I don't see it.

I suppose this is possible.
y' = 3/x^(1/2) + 6x

y' = \frac{3 + 6x^{3/2}}{x^{1/2}}

Frankly I like the first answer better, but you have a choice of both.
5 0
3 years ago
The volume of the cube is given as V= x³, where x is the side length of the cube. Find the domain of the volume of
katovenus [111]

Answer: None of the choices

Step-by-step explanation:

1. It couldn't be integers (whole numbers positive or negative), because a cube couldn't have a negative volume.

2. It could be natural numbers, but the problem is, that a volume could have decimal values, for example, 3.62 meters cubed which a natural number doesn't support.

3. Set of whole numbers is the same as integers, so it can't be that.

4. None of the choices, which in my opinion is the correct one.

I'm not sure it is correct, but I hope I helped you!

7 0
1 year ago
A quarter is 1/4 dollar. Noah has 8 quarters. How much money does he have?
Dmitry_Shevchenko [17]
Answer:
noah has $2

step-by-step explanation:
1/4 * 8 = 8/4 = 2
4 0
3 years ago
Which of the following is a solution for the absolute value inequality |2x – 3| &gt; 6?
Mice21 [21]
This breaks into two inequalities:

2x - 3 > 6

and

-2x + 3 > 6

------------------------

2x - 3 > 6

Add 3 to both sides:

2x > 9

Divide 2 to both sides:

x > 4.5

-----------------------

-2x + 3 > 6

Subtract 3 to both sides:

-2x > 3

Divide -2 to both sides:

x < -1.5
3 0
3 years ago
Read 2 more answers
Solve the system of equations. <br><br> y=x+5 <br><br> y=-x+7
spin [16.1K]

Answer:

(1,6)

x = 1, y = 6

See attachment for the graph

Step-by-step explanation:

y=x+5  

y=-x+7

Using the elimination process

     y=x+5  

-     y=-x+7

----------------

     0=2x-2

     2=2x

      1=x

      x=1

Substitute x = 1

y = x + 5

y = 1 + 5

y = 6

4 0
3 years ago
Read 2 more answers
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