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3 years ago

Evaluating quadratic functions using

Mathematics

1 answer:

ale4655 [162]3 years ago

3 0

F(-4)=6
F(0)=-6
F(1)=-4

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Half of the number, n, plus eight?

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Your answer would be A.

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How do i do 3 part a ?

WINSTONCH [101]

In general the binomial expansion is

$(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0$

So in our case, because we want ascending powers of x we'll write,

$(-3x + 1)^{11} = {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9 + {11 \choose 3 } (-3x)^3 1^8 + ...$

We need to calculate the binomial coefficients:

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${11 \choose 3} = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165$

$(-3x+1)^{11} = 1 (-3x)^0 1^{11} + 11(-3x)^{1} 1^{10} + 55 (-3x)^2 1^{9} + 165 (-3x)^3 1^8 + ...$

$(1-3x)^{11} = 1 -33 x + 495 3x^2 - 4455 x^3+ ...$

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3 years ago

Which of the following numbers is rational but not an integer?<br> -9 <br>-4.3<br> 0 <br> 3

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Answer:

Step-by-step explanation:

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Answer:

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The smallest the third side can be is greater than the difference of the other two sides

x > 5.6 -4

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3 years ago