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Zolol [24]
2 years ago
10

(a²-4) (9-b²) +24ab algebraic factorization​

Mathematics
1 answer:
Anastasy [175]2 years ago
7 0

Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36

Step-by-step explanation:

A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

AB = BA is the commutative property of multiplication.

- AB + AB equals zero and is therefore eliminated from the expression.

Pharaphrase it if used.

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Cuál es el capital final de invertir $65.000 durante 5 años a una tasa de interés simple del 5% anual? * 1 punto
SashulF [63]

Respuesta:

$81.250.

Explicación paso a paso:

Datos dados

Principal = $ 65,000

Tasa = 5%

Tiempo = 5 años

La expresión de interés simple se da como

A = P (1 + rt)

Substiute

A = 65000 (1 + 0,05 * 5)

A = 65000 (1 + 0,25)

A = 65000 (1,25)

A = $ 81,250

Por lo tanto, la inversión después de 5 años es de $81,250

6 0
2 years ago
Josiah and Tillery have new jobs at YumYum’s Ice Cream Parlor. Josiah is Tillery’s manager. In their first year, Josiah will be
Katyanochek1 [597]

Answer:

16 and 9

Step-by-step explanation:

2+14=16 7+2=9

8 0
2 years ago
Need help with this math question
olga_2 [115]

The correlation coefficient is -0.87; strong correlation

<h3>How to determine the correlation coefficient?</h3>

The given parameters are:

x = Time spent working out

y = lbs Overweight

Next, we enter the table of values in a graphing tool.

From the graphing tool, we have the following summary:

<u>X Values</u>

  • ∑ = 27.1
  • Mean = 2.71
  • ∑(X - Mx)2 = SSx = 22.569

<u>Y Values</u>

  • ∑ = 89
  • Mean = 8.9
  • ∑(Y - My)2 = SSy = 778.9

<u>X and Y Combined</u>

  • N = 10
  • ∑(X - Mx)(Y - My) = -114.19

<u>R Calculation</u>

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -114.19 / √((22.569)(778.9))

r = -0.8613

Approximate

r = -0.87

This means that the correlation coefficient is -0.87

Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0

Read more about correlation coefficient at:

brainly.com/question/27226153

#SPJ1

6 0
2 years ago
Which factorization is equivalent to this expression?
grigory [225]

Answer:

10(3x+7)

Step-by-step explanation:

we have the expression:

30x + 70

To factor this expression we need to indentify the components that are common in both terms.

At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:

10*3=30\\10*7=70

so we can substitute this into the expression:

10*3x+10*7

and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:

10(3x+7)

8 0
2 years ago
Eye Color Hair Color Blue Gray Green Brown Marginal Total Blond 42 5 21 10 78 Red 12 22 19 12 65 Brown 22 5 12 34 73 Black 9 3 1
iogann1982 [59]
The <u>correct answer</u> is:

18.

Explanation:

There were 303 people surveyed total.

There were 64 people with brown eyes and black hair; that makes the percentage of the population 64/303 = 21.12% ≈ 21%.

There were 9 people with blue eyes and black hair; that makes the percentage of the population 9/303 = 2.97% ≈ 3%.

This means the percentage of students with brown eyes and black hair was greater than the percentage of students with blue eyes and black hair by:
21-3 = 18%.
5 0
2 years ago
Read 2 more answers
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