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ehidna [41]
3 years ago
11

The commutative property changes the _____ of two addends or factors.

Mathematics
2 answers:
pychu [463]3 years ago
5 0
The communtative property chages the grouping
Fudgin [204]3 years ago
3 0
Grouping so that it stay the same
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, Britney ran 2 miles and sprinted 3,200 feet. In total, how many feet did she travel during practice?
Alla [95]
Britney ran 13,760 feet in total during practice.
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3 years ago
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What is the complete factorization of the polynomial function over the set of complex numbers? f(x)=x^3+3x^2+16x+48
Tamiku [17]

Answer:(x+3)(x+4i)(x-4i)  is the required factorization of f(x).


Step-by-step explanation:

To factor the expression we must first group the terms and then take out common from these groups

f(x)=x^3+3x^2+16x+48=(x^3+3x^2)+(16x+48)

Taking x^2 common from first group and the 16 from second group we get:


f(x) = x^2(x+3)+16(x+3) = (x+3)(x^2+16)


Now, to factor in complex from we have to break term x^2+16


f(x)= (x+3){x^2-(-4i)^2}

As, i^2 = -1 , therefore (-4i)^2 = 16i^2 =-16

Also using identity a^2-b^2 =(a+b)(a-b)

On solving

f(x) = (x+3)(x+4i)(x-4i)

(x+3)(x+4i)(x-4i)  is the required factorization of f(x).


8 0
3 years ago
The equation of a parabola is given in factored form.
ValentinkaMS [17]

Answer:

The parabola's axis of symmetry is x = -6

Step-by-step explanation:

Parabola general equation:

y = a*(x - r1)*(x - r2)

Equation given:

y = (-1/4)*(x + 2)*(x + 10)

a = -1/4

r1 = -2

r2 = -10

To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:

y = (-1/4)*(2+ 2)*(2 + 10) = -12

Then, point (2, 10) is not included in the parabola.

If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward

Axis of symmetry:

h = (r1 + r2)/2

h = (-2 + -10)/2 = -6

Then, The parabola's axis of symmetry is x = -6

To find Parabola's vertex, replace with the axis of symmetry:

y = (-1/4)*(-6 + 2)*(-6 + 10) = 4

Therefore, the parabola has a vertex at (-6, 4)

7 0
3 years ago
Someone please help me ASAP
IgorLugansk [536]
What do you need help with. I don’t see any questions or equations being found but have a great day :)
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3 years ago
Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K’. Which rule could ha
Nataly_w [17]

Answer: B

Step-by-step explanation:

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2 years ago
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