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Mars2501 [29]
3 years ago
13

Find the value of m

Mathematics
1 answer:
marta [7]3 years ago
6 0

Answer:

-2.

Step-by-step explanation:

(2/9)^4 * (2/9)^-7 = (2/9)^-3   so

(2/9)^-3 = (2/9)^(2m+1)

So -3 = 2m + 1  ( as the base 2/9 is common to both sides of the equation)

2m = -4

m = -2.

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Step-by-step explanation:

here

f(x)=x^2+6

Now

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3 years ago
For the years between 1980 and 2012, the function c(x)=0.006x^3−0.48x^2+12.8x+85 approximates the number of countries that atten
Evgesh-ka [11]

Answer:

  199

Step-by-step explanation:

2004 is 24 years after 1980. The polynomial remainder theorem tells you the remainder from division by x-24 will be the function value c(24). We can find the remainder/function value by evaluating the function rewritten to Horner form:

  c(x) = ((0.006x -0.48)x +12.8)x +85

  c(24) = ((0.006(24) -0.48)(24) +12.8)(24) +85 = (-.336(24) +12.8)(24) +85

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The approximate number of countries attending the 2004 Olympics was 199.

5 0
3 years ago
Factor the expression x^4 -1 using the polynomial identify x^2-y^2)=(x-y)(x+y)
Orlov [11]

Answer:

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Step-by-step explanation:

Step 1: Factor Difference of Squares

(x² - 1)(x² + 1)

Step 2: Factor Difference of Squares for non-complex binomial root

(x - 1)(x + 1)(x² + 1)

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