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Pie
3 years ago
8

Are these lines parallel? y = (-1/2)x + 1 y = (1/2)x - 5

Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

no

Step-by-step explanation:

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Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not
4vir4ik [10]

<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back x=4, we will get two fractions with zero denominator which would be undefined.

7 0
3 years ago
Find the inverse of function f. f(x) = 1/2x +7 / <img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B2%7Dx%20%2B%207"
kvasek [131]

The answer is C.) f^-1 (x) = 2x- 14 /  \:f^{-1\:}\left(x\right)=2x\:-\:14

5 0
3 years ago
What is the arithmetic mean of the following numbers?<br> 3,5,6,7,9,6,8
9966 [12]

Answer:

6 3/7

Step-by-step explanation:

Remember, the mean is the average of the number

Meaning that you have to add up all the numbers then divide them by the amount of numbers there are.

3, 5, 6, 7, 9, 6, 8

(3 + 5 + 6 + 7 + 9 + 6 + 8) / 7

44 / 7

6 3/7

8 0
3 years ago
Read 2 more answers
Does anybody know the answer <br>​
IgorLugansk [536]

Answer:C

Step-by-step explanation:

6 0
3 years ago
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£70 is divided between Natasha, Richard &amp; Stephen so that Natasha gets twice as much as Richard, and Richard gets three time
Mekhanik [1.2K]

Answer:

  £42

Step-by-step explanation:

The ratio of Richard's amount to Stephen's amount is ...

  R : S = 3 : 1

The ratio of Natasha's amount to Richard's amount is ...

  N : R = 2 : 1 = 6 : 3

Then the ratio of all three amounts is ...

  N : R : S = 6 : 3 : 1

The proportion of the total that Natasha gets is ...

  6/(6+3+1) = 6/10

so she gets ...

  (6/10)×£70 = £42

Natasha gets £42.

5 0
3 years ago
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