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muminat
3 years ago
8

Factor completely. y2 - xy - 56x2

Mathematics
1 answer:
aliina [53]3 years ago
5 0
For this case we have the following expression:
 y2 - xy - 56x2
 Rewriting we have the factored expression, which is given by:
 (7x + y) (y-8x)
 Checking we have:
 7xy - 56x ^ 2 + y ^ 2 - 8xy
 y ^ 2 - xy - 56x ^ 2 (OK)
 Answer:
 
The factored expression is given by:
 
y2 - xy - 56x2 = (7x + y) (y-8x)
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Answer:

Step-by-step explanation:

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2 years ago
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15 points pls brainliest show your work no calculator
FinnZ [79.3K]

Based on the calculations on the given expressions, the correct answers are as follows:

  1. Expression = 25/2 or 12.5.
  2. Difference = 5.
  3. n = 6.
  4. Expression = 31/15.
  5. Prime factorization of 96 = 2⁵ × 3¹.
  6. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.
  7. Inequality = 2³ < 3².
  8. Total amount = $255.
  9. Expression = 5.

<h3>How to evaluate this expression?</h3>

In order to evaluate this expression, we would substitute the value of x into upper and lower part respectively and then simplify as follows:

Expression = (6x + 8)/(4x - 24)

Expression = (6(7) + 8)/(4(7) - 24)

Expression = (42 + 8)/(28 - 24)

Expression = 50/4

Expression = 25/2 or 12.5.

Next, we would translate the given word problem into an algebraic expression:

Difference = 10 - 5

Difference = 5.

To solve for the value of n in the given expression:

-15 + n = -9

n = -9 + 15

n = 15 - 9

n = 6.

Expression = 2/3 + 1 2/5

Expression = 2/3 + 7/5

Expression = (10 + 21)/15

Expression = 31/15.

Next, we would write the prime factorization of 96:

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

96 = 2 × 2 × 2 × 2 × 2 × 3

96 = 2⁵ × 3¹.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.

<h3>How to determine the inequality symbol?</h3>

2³ __  3²  ≡  8 __ 9

Since 8 is less than 9, the inequality symbol which would complete the number sentence is < and it would be written as follows:

Inequality = 2³ < 3².

Next, we would calculate the total amount of money that KeeKee will spend:

Initial cost = 3 × $60 = $180

Total amount = initial cost + final cost

Total amount = $180 + $75

Total amount = $255.

Finally, we would simplify the given expression:

Expression = 3² + 2(12 ÷ 4 - 2 + 3)

Applying BODMAS, we have:

Expression = 3² + 2(3 - 2 + 3)

Expression = 3² + 2(3 - 5)

Expression = 3² + 2(-2)

Expression = 9 - 4

Expression = 5.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Read more on expressions here: brainly.com/question/28260012

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7 0
1 year ago
exam p A drawer contains four pairs of socks, with each pair a different color. One sock at a time is randomly drawn from the dr
Marta_Voda [28]

Answer:

The probability that the maximum number of draws is required is 0.2286

Step-by-step explanation:

The probability that the maximum number of draws happens when you pick <em>different colors in the first four pick</em>.

Assume you picked one sock in the first draw. Its probability is 1, since you can draw any sock.

In the second draw, 7 socks left and you can draw all but the one which is the pair of the first draw. Then the probability is \frac{6}{7}

In the third draw, 6 socks left and you can draw one of the two pair colors which are not drawn yet. Its probability is \frac{4}{6}

In the forth draw, 5 socks left and only one pair color, which is not drawn. The probability of drawing one of this pair is \frac{2}{5}

In the fifth draw, whatever you draw, you would have one matching pair.

The probability combined is 1×\frac{6}{7} ×\frac{4}{6}× \frac{2}{5} ≈ 0.2286

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the radius of a circular pond is 8 meters. Find it's area and circumference. Use 3.14 as an approximation for pi​
Kaylis [27]

Answer:

area: 25.12

circumference will always be 3.14

Step-by-step explanation:

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Please help you guys, Look at the picture attached
Nookie1986 [14]

Answer:

Step-by-step explanation:

if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3

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x=(-2+4+10)/3=4

y=(6+0+6)/3=4

centroid=(4,4)

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x=(3+5-2)/3=2

y=(3-1+1)/3=1

centroid=(2,1)

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2 years ago
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