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Darina [25.2K]
3 years ago
13

Make x the subject of these equations. Thank you! ^^

Mathematics
1 answer:
Ghella [55]3 years ago
3 0

Answer:

y =  \frac{x}{x - 2}  \\ y(x - 2) = x \\ xy- 2y = x \\ xy - x = 2y \\ x(y - 1) = 2y \\ x =  \frac{2y}{(y - 1)}

y =  \frac{(x + 4)}{(x - 9)}  \\ y(x - 9) = (x + 4) \\ xy- 9y = x + 4 \\ xy - x = 9y + 4 \\ x(y - 1) = 9y + 4 \\ x =  \frac{9y + 4}{(y - 1)}

y =  \frac{(a - 5x)}{(bx + 8)} \\ y(bx + 8) = (a - 5x) \\ ybx + 8y = (a - 5x) \\ ybx + 5x = a - 8y \\ x(yb + 5) = a - 8y \\ x =  \frac{(a - 8y)}{(yb + 5)}

y =  \frac{6x - 8}{3x - 13} \\ y(3x - 13) = 6x - 8 \\ 3xy - 13y = 6x - 8 \\ 3xy - 6x = 13y - 8 \\ x(3y - 6) = 13y - 8 \\ x =  \frac{13y - 8}{(3y - 6)}

sorry I don't know how to do the last one.

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Select the equation that contains the point (4, -8), and in which the graph of the line has a positive slope.
BaLLatris [955]
Okay, let me just make this a little clearer. Hopefully, this is what you meant:

A. y - 8 = -4(x + 4)
B. y - 8 = 4(x + 4)
C. y + 8 = 4(x - 4)
D. y + 8 = -4(x - 4)

--

This can also be written as y2 - y1 = m(x2 - x1).

Your M is your slope. 

Both A and D have their m as a negative 4. Because you are looking for a positive slope, immediately cancel those answers.

* note that you could have also put them in a more standard form and discovered m which is the x in bx. 

Now, you are looking for an equation that contains (4,-8).

Because it is written as y2-y1, your y's are actually points if you were to find another slope or something. This part is a bit hard to explain, but -8 is only found in the y coordinate place in answer B. Your answer would be B. For more explanation on that, there's this great site called coolmath.com and if you search for finding the equation of two points, it explains it much better on there, but I would not want to plagiarize. 

The answer is B.


5 0
2 years ago
35% of the original price of a phone is £78 what was the original price ?
Yakvenalex [24]

Answer:

222.86

Step-by-step explanation:

<h2><u>in order to solve this question you can create an equation :</u></h2>

35% * x = 78

where x is the original amount

in order to get x , you have to say :

78/ 35% = x

hence x = 222.8571...

to 2dp = 222.86

4 0
3 years ago
Read 2 more answers
Please help me I have 10 minutes!!
Diano4ka-milaya [45]

Answer:

it's d

Step-by-step explanation:

≤ may refer to:

Inequality (mathematics), relation between values; a ≤ b means "a is less than or equal to b"

so the answer D is right because the face always ponit to the bigger number if x is -14 then this stament would be true

7 0
2 years ago
In 2012, the cost of 3 ounces of silver was $2,460. What was the cost for 1 ounce?
KonstantinChe [14]

Answer:

820 ounces

Step-by-step explanation:

$2,460 divided by 3 = 820 ounces

820 x 3 = $2,460

3 0
3 years ago
Read 2 more answers
How to solve this equation?
lilavasa [31]
I solved it on your other posting of it. x = 12
All of the steps are there
7 0
3 years ago
Read 2 more answers
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