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KATRIN_1 [288]
3 years ago
9

Please help me thank you

Mathematics
1 answer:
yarga [219]3 years ago
8 0

Answer:

  • f(4) = -12
  • f(-2) = -6
  • f(2) = -10
  • f(0) = -8
  • f(-3) = -5

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

Personally, I find it easier not to deal with so many minus signs. I would rewrite the function to ...

  f(x) = -(8 +x)

I find it easier to evaluate the series of argument values when they are in increasing order. This serves as a check, because we expect the function values to be in decreasing order.

f({-3, -2, 0, 2, 4}) = -(8 +{-3, -2, 0, 2, 4}) = -{5, 6, 8, 10, 12} = {-5, -6, -8, -10, -12}

  • f(4) = -12
  • f(-2) = -6
  • f(2) = -10
  • f(0) = -8
  • f(-3) = -5

_____

As always, for repetitive evaluation of the same function, a spreadsheet or graphing calculator is a handy tool.

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puteri [66]
Answer: Choice B) (24,10)

---------------------------------------------------------

Work Shown:

2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10

If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24

Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B

As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
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Step-by-step explanation:

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Tanya [424]
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Answer:

B

Step-by-step explanation:

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