Need a step by step on how to solve this please

Answers

Answer 1

Answer: I have not done this in advance. I'm just going to write it down
and see what I can do with it:

[ 1/(x+3)² - 1/x² ] / 3

Multiply the top and bottom by (x+3)² :

[ 1 - (x+3)²/x² ] / 3 (x+3)²

Multiply the top and bottom by x² :

[ x² - (x+3)² ] / 3 x² (x+3)²

Now it's just a matter of expanding and cleaning things up,
and hope and pray that a lot of things cancel.

Eliminate the parentheses on top and bottom:

[ x² - x² - 6x -9 ] / 3 x² (x² + 6x + 9)

Combine the x² terms on top, and divide top and bottom by 3 :

[ - 2x - 3 ] / x² (x² + 6x + 9)

Finally, all I can make of this is:

- (2x + 3) / [ x(x+3) ]² .

That's not a whole lot prettier than the original form, but at least
we got rid of those fractions in the numerator of a fraction.

I hope this is some help to you.

Answer 2

Answer: $((1)/((x+3)^2)-(1)/(x^2))/(3)=(1)/(3(x+3)^2)-(1)/(3x^2)=(x^2)/(3x^2(x+3)^2)-((x+3)^2)/(3x^2(x+3)^2)=(x^2-x^2-6x-9)/(3x^3(x+3)^2)\n\n=(-6x-9)/(3x^2(x+3)^2)=(3(-2x-3))/(3x^2(x+3)^2)=-(2x+3)/(x^2(x+3)^2)$

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On a line segment B is between AC and C is between B and D using the segment addition postulate if AB=7 AC=15 AD=32 what does BC BD and CD equal

Answers

Answer:

BC = 8

BD = 24

CD = 17

Step-by-step explanation:

First i found that I know AB is 7 and AC is 15 so i realize AB is part of AC so I subtract AB from AC for the difference and got the rest using the same logic

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AB+AC=BC
7+15=BC
BC=22

AB+AD=BD
7+32=BD
BD=39

AC+AD=CD
15+32=CD
CD=47

32 is 40 percent of what number?

Answers

'is' in mathematics means equal
'of' in mathematics means multiplication

percent means over 100

32 = 40% * x

32 = 40/100 * x

32 = 4/10 * x

Multiply 10/4 on both sides, so we can isolate 'x'

32 * 10/4 = x

x = 8 * 10

x = 80

32 is 40 percent of 80.

how do I solve p-2 over 3 = 5 over 8?

Answers

$(p-2)/(3)=(5)/(8)\ /\cdot24\n\n24\cdot(p-2)/(3)=24\cdot(5)/(8)\n\n8(p-2)=3\cdot5\n\n8p-16=15\n\n8p=15+16\n\n8p=31\ /:8\n\np=(31)/(8)\n\np=3(7)/(8)$

Which type of conic section is described by the following equation? Please helpppp plzzzz

Answers

Answer: Choice F. Hyperbola opening up and down.

======================================================

Explanation:

The subtraction symbol between the two fractions indicates right off the bat that we're dealing with a hyperbola. The question now is "How does it open? Does it open up/down? Or does it open left/right?"

To answer this new question, we just need to look at which fraction is negative. The fraction with x in it is negative, so that means the y fraction is positive. The y fraction being positive is the indication of the hyperbola opening up/down.

Complete the remainder of thetable for the given function rule:
y = -2x +9
-4 -2 0 2 4
[?] [] [] []
y 17

Answers

The complete table of values for the function rule y = -2x +9 is

x -4 -2 0 2 4

y 17 13 9 5 1

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient

How to complete the remainder of the table for the given function rule?

From the question, the function rule is given as:

y = -2x +9

The table of values is given as:

x -4 -2 0 2 4

y 17

Next, we substitute the other values of x in the equation y = -2x +9

y = -2(-2) +9 = 13

y = -2(0) +9 = 9

y = -2(2) +9 = 5

y = -2(4) +9 = 1

So, the complete table of values is

-4 -2 0 2 4

y 17 13 9 5 1

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There are a total of 30 white and black marbles in a box. There are 14 more white marbles than black marbles. How many black marbles are in the box?

Answers

Answer:

Step-by-step explanation:

30-14=16

Final answer:

The box contains 8 black marbles.

Explanation:

The question is asking about a box containing a total of 30 marbles, with the white marbles numbering 14 more than the black ones. So, we can first create an equation which equates the total number of marbles (30) to the sum of the black marbles and the white marbles. Let's denote the number of black marbles as B. The number of white marbles can then be expressed as B + 14.

Therefore, the equation would be: B + (B + 14) = 30, simplifies to 2B + 14 = 30.

To solve for B, subtract 14 from both sides of the equation so you have 2B = 16. Now, divide each side by 2 to solve for B, which gives us B=8.

Therefore, there are 8 black marbles in the box.

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