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Verizon [17]
4 years ago
13

Divide.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Mathematics
1 answer:
yulyashka [42]4 years ago
6 0
It's not clear whether the problem is to:

(1) divide x^2-4 by \dfrac{x-8}{x-2}, or

(2) divide \dfrac{x^2-4}{x-8} by x-2.

But with only two possible cases, that's not much work to do.

\drac{x^2-4}{\frac{x-8}{x-2}}=\dfrac{(x^2-4)(x-2)}{x-8}=\dfrac{x^3-2x^2-4x+8}{x-8}

Synthetic division yields a quotient and remainder of x^2+6x+44+\dfrac{360}{x-8} (see attachment for how the algorithm was carried out).

In the other case,

\dfrac{\frac{x^2-4}{x-2}}{x-8}=\dfrac{\frac{(x-2)(x+2)}{x-2}}{x-8}=\dfrac{x+2}{x-8}

provided that x\neq2. Synthetic division can be used again here, but this is quite easy to deal with by just doing some easy manipulation of the numerator:

\dfrac{x+2}{x-8}=\dfrac{x-8+10}{x-8}=\dfrac{x-8}{x-8}+\dfrac{10}{x-8}=1+\dfrac{10}{x-8}

(also provided that x\neq 8)

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Make x the subject of the formula х/a +b =c ​
klasskru [66]
Multiple by a both sides and the a in the first side will be canceled with the multiplication of a it will be x+b=ac and then you subtract b from both sides.

THE ANSWER WILL BE. X=ac-b
3 0
3 years ago
Julie buys a pair of jeans that cost $39. If they have a 25% discount, what is the sale price of the jeans?
NISA [10]

Answer:

$29.25

Step-by-step explanation:

39 x .25 = 9.75

39 - 9.75 = 29.25

5 0
2 years ago
Which statement best explains if the graph correctly represents the proportional relationship y = 0.5x?
ehidna [41]
The <u>correct answer</u> is:

<span>A) Yes, the points shown on the line would be part of y = 0.5x.

Explanation:

Looking at the graph, the line goes through (0, 0).  If x=0, we have
y=0.5(0)=0.  
This is the y-coordinate of the point, so it goes through this.

The equation for this line is in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.  In this equation, m=0.5 and b=0.  This means the slope is 0.5 or 1/2; since slope is rise/run, this means the line rises 1 for every horizontal increase of 2.  

This means starting from (0, 0), we would go up 1 and over 2, creating the point (2, 1).  Looking at the graph, the line goes through this point.

Next we would go up 1 and over 2 again, to (4, 2).  Again, the line goes through this point.

We could follow all of the points on this line and they all fit.</span>
3 0
3 years ago
Read 2 more answers
Need help solving for L
JulsSmile [24]
I'm sorry, I don't see the question. Could you please retake the photo in better quality so I could answer it? Thanks!
8 0
3 years ago
The Sky Ranch is a supplier of aircraft parts. Included in stock are 10 altimeters that are correctly calibrated and two that ar
mart [117]

Answer:  a) 0.545,b) 0.41, c) 0.045, d) not possible.

Step-by-step explanation:

The Sky Ranch is a supplier of aircraft parts. Included in stock are 10 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected without replacement. Let the random variable

x represent the number that are not correctly calibrated.

Complete the probability distribution table.

x={0,1,2,3}

P(x=0)=?

P(x=1)=?

P(x=2)=?

P(x=3)=?

Since we have given that

n = 12

number of good one = 3 from 10

number of bad one = 2

So, P(X=0)=\dfrac{^{10}C_3\times ^2C_0}{^{12}C_3}=\dfrac{120}{220}=0.545

P(X=1) = \dfrac{^{10}C_2\times ^2C_1}{^{12}C_3}=\dfrac{90}{220}=0.41

P(X=2)=\dfrac{^{10}C_1\times ^2C_2}{^{12}C_3}=\dfrac{10}{220}=0.045

P(X=3) is not possible.

Hence, a) 0.545,b) 0.41, c) 0.045, d) not possible.

5 0
3 years ago
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