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Allisa [31]
2 years ago
15

Subtract (r - 3q + 5p) - (-4r - 3q - 8p)

Mathematics
2 answers:
Ghella [55]2 years ago
7 0

Answer:

5r + 13p

Step-by-step explanation:

In this question, you would simplify the expression.

Solve:

(r - 3q + 5p) - (-4r - 3q - 8p)

Use the distributive property to distribute the negative to the variables inside the parenthesis.

r - 3q + 5p + 4r + 3q + 8p

Combine like terms.

r - 3q + 5p + 4r + 3q + 8p

5r - 3q + 5p + 3q + 8p

5r + 5p + 8p

5r + 13p

Since we can't simplify further, your final answer would be 5r + 13p

Alex787 [66]2 years ago
4 0

Answer: ok so Let's simplify step-by-step.

r−3q+5p−(−4r−3q−8p)

Distribute the Negative Sign:

=r−3q+5p+−1(−4r−3q−8p)

=r+−3q+5p+−1(−4r)+−1(−3q)+−1(−8p)

=r+−3q+5p+4r+3q+8p

Combine Like Terms:

=r+−3q+5p+4r+3q+8p

=(5p+8p)+(−3q+3q)+(r+4r)

=13p+5r

Step-by-step explanation:

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the minimum of f is for x = 1 and f(1)=0

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Please help and thank you. ​
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Answer:

4.

  • 400 ft elevation at 1 km and 3 km from the start
  • 300 ft/km average rate of change over the first 4 km

5.

  • length = 3.5 cm
  • width = 3.5 cm
  • height = 7.0 cm

6.

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  • 5 yrs: $1196.89
  • avg incr: $3.28 per month

Step-by-step explanation:

<h3>4.</h3>

A graphing calculator is handy for solving problems involving cubic polynomials. You're interested in where the elevation is 400 ft. Since the value of f(x) is in hundreds of feet, you want to find x such that f(x) = 4.

Values of x where that is the case are x=1 and x=3, representing distances of 1 km and 3 km from the start of the road.

The average rate of change of elevation is the difference in elevation divided by the difference in distance from the start:

  average rate of change = (f(4) -f(0) hundred ft)/((4 - 0) km)

  = (19 -7)/4 hundred feet/km

  = 12/4  hundred feet/km = 300 ft/km

___

<h3>5.</h3>

You want to find x when ...

  A(x) = 122.5 cm²

  10x² = 122.5 cm² . . . . substitute the given expression for A(x)

  x² = 12.25 cm² . . . . . . divide by 10

  x = √(12.25 cm²) = 3.5 cm . . . . take the square root

The diagram tells you ...

  length = width = x = 3.5 cm

  height = 2x = 7.0 cm

___

<h3>6.</h3>

Evaluate the given expression for the different values of m:

  $1000·1.003^6 ≈ $1018.14 . . . . 6-month value

  $1000·1.003^60 ≈ $1196.89 . . . . 5-year value

The increase is $1196.89 -1000.00 = $196.89. That increase took place over 60 months, so the average increase per month is ...

  $196.89/(60 mo) ≈ $3.28 per mo . . . . average per month over 5 years

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Answer:

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Step-by-step explanation:

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