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blagie [28]
3 years ago
11

Evaluate. 2^−2⋅(12⋅3)−5^3 Enter your answer in the box.

Mathematics
1 answer:
Daniel [21]3 years ago
3 0

If ^ was meant to be multiplication, the answer would be -159.

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Prove algebraically if the following functions are even, odd, or neither. (12 points)
alukav5142 [94]

Answer:

  a. even

  b. odd

  c. odd

  d. even

Step-by-step explanation:

We suppose that "prove algebraically" means that you are to substitute -x for x in each equation and show that f(x) = -f(-x) for an odd function, and that f(x) = f(-x) for an even function.

It is easier to do this generically, so that you can make use of the rule that ...

  • if a polynomial function consists only of even-degree terms, it is an even function
  • if a polynomial function consists only of odd-degree terms, it is an odd function

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So, for even-degree, we can assume that the polynomial is of the form ...

  f(x) = ax^2 + b

Then we have ...

  f(-x) = a(-x)^2 +b = (-1)^2·ax^2 +b = ax^2 +b

or ...

  f(-x) = f(x) . . . . regardless of the values of "a" and "b"

__

For an odd-degree function, we can assume that the polynomial is of the form ...

  g(x) = x·f(x) . . . . where f(x) is of even degree

Then ...

  g(-x) = -x·f(-x) = -x·f(x) . . . . since f(x) = f(-x) as shown above

or

  g(-x) = -g(x) . . . . . . . . regardless of the coefficients in f(x)

__

a. f(x) matches the form of our even-degree f(x) above, so is even.

b. g(x) matches the form of our odd-degree g(x) above (with a=0), so is odd.

c. h(x) = x(5x^2 -1) matches the form of our odd-degree g(x), so is odd.

d. f(x) matches the form of our even-degree f(x) above, so is even.

_____

<em>Comment on the problem</em>

For part (b), we have assumed that "x +1x" means 2x. If it is supposed to be something else, it needs to be properly written. (x+1/x is an odd function, because -x+1/(-x) = -(x +1/x).)

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3 years ago
Y-x=-3 in y =mx+b form​
MA_775_DIABLO [31]

Answer:

that does not workk

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The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many
scoray [572]

Answer:

There are 15 girls and 21 boys

Step-by-step explanation:

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2 years ago
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A recursive rule for the arithmetic sequence is a1=-3;an=an-1+7
Shkiper50 [21]
The explicit rule for any arithmetic sequence is:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number

In this case a=-3 and d=7 so:

a(n)=-3+7(n-1)

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a(n)=7n-10
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The answer:93.75

I think recommend calculators online I’m sure I’m a little off
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