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Elodia [21]
3 years ago
14

1. Y varies inversely with x. If y = 9 when x = -5, find the value of x when y=-6.

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0

Answer:

Step-by-step explanation:

1 )  Y∝ 1 / X

Y = k / X

Y = 9 , X = -5

Putting the values in the relation above

9 = k / - 5

k = -45

Y = - 45 / X

Put Y = - 6

- 6 = - 45 / X

X = - 45 / -6

= 7.5

2 )

Luke and Nora can peel 12 carrots in 5 minutes

in 1 minute Luke and Nora can peel 12 / 5 carrot

in 1 minute Luke alone   can peel 12/ 11 carrot .

In 1 minute Nora alone will peel (12 / 5 -  12/ 11  ) carrot

(12 / 5 -  12 / 11  )

= 2.4 - 1.1

= 1.3 carrot

In 1 minute Nora alone will peel 1.3 carrot

1.3 carrot in 1 minute

8 carrot in 8 / 1.3 minute

= 6.15 minutes.

In 1 minute Nora alone will peel 8 carrot in 6.15 minutes working alone.

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If |x-1| = |x+5|, find the value of x.
Rufina [12.5K]

Greetings.

The answer is x = -2.

Explanation:

By solving the Absolute-Value Equation. We give them 2 conditions.

<em>When x ≥ 0 and When x < 0</em>

<em>The different is that When x ≥ 0, |x-a| = x-a as defined.</em>

<em>And when x < 0. |x-a| = -x+a as defined.</em>

( 1 ) - When x ≥ 0 for |x-1| and |x+5|

When x ≥ 0, |x-1| = x-1 and |x+5| = x+5

Therefore, x-1 = x+5

x-1=x+5\\x-x=5+1\\0=6

Because the equation is false. Therefore, The condition (1) doesn't apply.

( 2 ) - When x ≥ 0 for |x-1| and x < 0 for |x+5|

This time, we try another condition.

When x ≥ 0, |x-1| = x-1 and When x < 0, |x+5| = -x-5.

x-1=-x-5\\x+x=-5+1\\2x=-4\\x=-\frac{4}{2}\\x=-2

And we get the answer, |x-1| = |x+5| when x = -2.

But we haven't tried the last condition.

( 3 ) And that is when x < 0 for both terms.

|x-1| = -x+1 (x < 0)

|x+5| = -x-5 (x < 0)

-x+1=-x-5\\-x+x=-5-1\\0=-6

The equation is not true. Therefore, the answer is x = -2.

8 0
3 years ago
Plz help I need to graduate 15 pls!
vredina [299]
The answer is A because X can’t have the same numbers for it to be a function.
6 0
4 years ago
Some students do homework with the TV on. Researchers wanted to see if people can work as effectively with distractions as witho
laila [671]

Answer:

Paired test

Step-by-step explanation:

The above research is carried out using a set of participants who were used to gather data under two different conditions. When this type of research is performed there is a match between the two conditions based on the subjects used, hence, we can pair the condition with the subject to obtain a matched pair. This sort of test also called the dependent sample t test. Thses type of test is ideal when the data is quantitative and the data obtained from two groups are dependent.

8 0
3 years ago
Techwiz electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, Techwiz sold a c
kicyunya [14]

The combined total profit is (17x + 2502) dollars

<em><u>Solution:</u></em>

Profit for each Mp3 player = $ 35

Profit for each DVD player = $ 18

Let x be the number of MP3 players sold last week

Number of MP3 players = x

Last week, Techwiz sold a combined total of 139 MPS and DVD players

Total number of mp3 and dvd sold = 139

Number of DVD player = 139 - x

<em><u>Write an expression for the combined total profit (in dollars) Techwiz made from MP3 and DVD players last week.</u></em>

Combined total profit = Number of MP3 players x Profit for each Mp3 player + Number of DVD player x Profit for each DVD player

combined\ total\ profit = x \times 35 + (139-x) \times 18\\\\combined\ total\ profit = 35x + 2502-18x\\\\combined\ total\ profit = 17x + 2502

Thus the combined total profit is (17x + 2502) dollars

3 0
3 years ago
Is a parroleogram a rombus
Pie

Answer:yes

Step-by-step explanation:

6 0
3 years ago
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