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3 years ago

The variable y varies directly with x . If x=2 and y = −7, find y when x = −6.

Mathematics

2 answers:

telo118 [61]3 years ago

8 0

Step-by-step explanation:

$\frac{2}{ - 6} = \frac{ - 7}{y} \\ y = \frac{( - 6) \times (- 7)}{2} \\ y = \frac{42}{2} \\ \boxed{y = 21}$

<h2>21 is the right answer.</h2>

suter [353]3 years ago

7 0

Answer:

Step-by-step explanation:

X=2

Y=-7

Then if x is -6 u have to find what times 2 is -6 Which is -3.

so -7 x -3 is 21. Y is 21

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Solving an Absolute Value Equation

Andre45 [30]

Answer:

Solution set = {-12, 12}

Step-by-step explanation:

Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:

$-\,|-x|=-\,12\\|-x|=12$

Now we consider the two possible cases:

1) The expression inside the absolute value symbol is a positive number, then :

$|-x|=-x\\$

and replacing it in the equation, this becomes:

$|-x|=12\\-x=12\\x=-12$

which is our first answer.

2) The expression inside the absolute value symbol is a negative number, then :

$|-x|=x\\$

and replacing it in the equation, this becomes:

$|-x|=12\\x=12$

which is our second possible answer.

Then the set of solutions is: {-12, 12}

8 0

3 years ago

There are 790 cal in 610 ounce bottles of apple juice how many calories are there in one 10 ounce bottle of apple juice

Akimi4 [234]

I would say 18 because 790-610= 180 and 180÷10= 18

7 0

3 years ago

Suppose that the world's current oil reserves is

SOVA2 [1]

Answer:

A) R = 1900 -24t

B) 1684 billion barrels

C) 79.17 years

Step-by-step explanation:

Reserves start at 1900 billion barrels and decrease by 24 billion barrels each year. The value for t=0 is 1900; the value for t=1 is 24 less.

R = 1900 -24t

For t=9, the reserves will be ...

R = 1900 -24(9) = 1900 -216 = 1684 . . . . billion barrels

The reserve will be 0 when ...

0 = 1900 -24t

24t = 1900 . . . . . add 24t

t ≈ 79.17 . . . . divide by 24

Reserves will be gone in about 79.17 years.

5 0

3 years ago

Please help .-.<br> No absurd answers

VARVARA [1.3K]

Answer:

64 ft²

Step-by-step explanation:

10 ft · 10 ft

100 ft²

$A=\frac{bh}{2}$

6 · 6 = 36

36 ÷ 2 = 18

18 ft² + 18 ft² = 36 ft²

100 ft² - 36 ft²

64 ft²

8 0

3 years ago

Read 2 more answers

Can you help me answer this question

r-ruslan [8.4K]

Division of a fraction is the equivalent of multiplying by its reciprocal
ex.
$\frac{\frac{A}{B} }{\frac{C}{D}}=\frac{A}{B} *\frac{D}{C}$
i suggest you try to remember this concept

in terms of your question

$\frac{\frac{4c-12}{4c+8}}{\frac{c-3}{c^2-4}}= \frac{4c-12}{4c+8} *\frac{c^2 -4}{c-3}$

from this point, just multiple the numerators together and denominators together, then simplify if necessary

fyi- difference of squares
$x^2-b^2 = (x-b)(x+b)$
relating that to
$c^2-4 = c^2 -2^2 = (c-2)(c+2)$

also a side note, you might want to factor out the 4 first in the top fraction

4 0

3 years ago