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Rudiy27
3 years ago
15

Explain the different ways it it possible to add 2 rational numbers and get a negative number

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0
Rational numbers can be negatives and positives. When negative, they are called integers. If you add one negative number that is higher than the positive number, it can be negative. For instance: -63+3= -60
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For the given term, find the binomial raised to the power, whose expansion it came from: 220(5x)3(−6y)9.
sukhopar [10]
Answer: (5x - 6y)^{12}
Explanation: For a general binomial expansion, (x + y)^{n}, we know that the powers have to add up to the initial power. This means that the power of x and power of y have to add up to n. This is the binomial theorem.

To further demonstrate this, let's use:
(x + y)^{4}

We can easily expand this. Using Pascal's Triangle, we get:
(x + y)^{4} = x^{4} \cdot y^{0} + 4x^{3} \cdot y^{1} + 6x^{2} \cdot y^{2} + 4x^{1} \cdot y^{3} + x^{0} \cdot y^{4}

As we progress along the expansion, we can see that in each term, the summation of each power remains constant, namely 4.

It doesn't matter what term the binomials are, because the power summation will never change.
This is why we can say that it is raised to the 12th power, and the binomial is:
(5x - 6y).

Thus, we get: (5x - 6y)^{12}
5 0
3 years ago
Decimals between 10 and 15 with an interval of 0.75
IgorC [24]
10.75
11.50
11.80
12.55
13.30
14.05
14.80
15.55
3 0
3 years ago
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
tatiyna
F(x) = 4 - x²    g(x) = 6x

(g - f)(x) = g(x) - f(x)

(g - f)(3) = g(3) - f(3)

g(x) = 6x

g(3) = 6*3 = 18

f(x) = 4 - x²

f(3) = 4 - 3² = 4 - 9 = -5

(g - f)(3) = g(3) - f(3) = 18 - (-5) = 18 + 5 = 23

 (g - f)(3) = 23
7 0
3 years ago
A circular sheet was cut to make cone without a base of slant height equal to 7 m. If the net of the cone has a perimeter of 47
Usimov [2.4K]

Answer:

75%

Step-by-step explanation:

5 0
3 years ago
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If the equation y=-5x+12 is translated up five units, what would the new equation be?
Maurinko [17]

Answer:

y=-5x+17

Step-by-step explanation:

4 0
3 years ago
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