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scoray [572]
3 years ago
7

X-9/3=56/x+4 solve for x

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

Answer:

x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2

Step-by-step explanation:

Solve for x:

x - 3 = 56/(x + 4)

Cross multiply:

(x - 3) (x + 4) = 56

Expand out terms of the left hand side:

x^2 + x - 12 = 56

Add 12 to both sides:

x^2 + x = 68

Add 1/4 to both sides:

x^2 + x + 1/4 = 273/4

Write the left hand side as a square:

(x + 1/2)^2 = 273/4

Take the square root of both sides:

x + 1/2 = sqrt(273)/2 or x + 1/2 = -sqrt(273)/2

Subtract 1/2 from both sides:

x = sqrt(273)/2 - 1/2 or x + 1/2 = -sqrt(273)/2

Subtract 1/2 from both sides:

Answer:  x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2

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alekssr [168]

Write the set of points from  -6 to 0 but excluding  -4  and 0 as a union of intervals

First we take  the interval  -6 to 0. In that -4  and 0 are excluded.

So we split the interval -6 to 0.

Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.

Interval becomes [-6,-4) . It says -6 included but -4 excluded.

Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets

(-4,0)

Now we take union of both intervals

[-6,-4) U (-4,0)  --- Interval from  -6 to 0 but excluding  -4  and 0



7 0
3 years ago
What is 45x3,679= what is the sum
Westkost [7]

Answer:

679

Step-by-step explanation:

5 0
2 years ago
Nadya has 36 blueberries and 45 raspberries that she will be putting into cups of yogurt to make after-school snacks. She wants
sladkih [1.3K]

Answer:

Using GCF (The Greatest Common Factor) the answer = 9

Step-by-step explanation:

The values 36, 45

Solution by Factorization:

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 45 are: 1, 3, 5, 9, 15, 45

Both 45 and 36 have factors of 1, 2, 3, and 9

1 is less than 2, so 1 is out

2 is less than 3, so 3 is out

9 is greater than 3, so 3 is out

9 is the greatest!

Therefore, the greatest common factor is 9.

The greatest number of cups Nadya can make is 9 cups.

Hope this helps!

Have a good evening! :)

7 0
3 years ago
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I’m gorilla da spinna RANGABANGIN ON MY CHEST
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2 years ago
Solve the equation. <br><br> 3.9 + x = − 8
AnnZ [28]

Answer:

x= -11.9

Step-by-step explanation:

-8 - 3.9 = -11.9

-11.9+ 3.9 = -8

5 0
3 years ago
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