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oee [108]
2 years ago
13

Pilar has a side job as a dog walker. She charges a flat rate of $20 per walk, plus $5 for every dog

Mathematics
2 answers:
Anastaziya [24]2 years ago
8 0

Answer:

y = 20+5x

Step-by-step explanation:

Hi there!

Let x be the number of dogs walked and y be the total cost.

We're given that Pilar charges a flat rate of $20 per walk...

y = 20 dollars

...plus $5 for every dog:

y = 20+5x dollars

I hope this helps!

kozerog [31]2 years ago
3 0

y=5x+20

If you need to you can graph this in Desmos.

y is cost, 5 is price per dog, x is the number of dogs 5 and x times each other. y is total cost.

I hope this helps.

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Simplify and verify the results for
KatRina [158]

Answer:

21440

Step-by-step explanation:

<h2>Simplify:</h2>
  • (7x³ + 8x² - 3)(x² - 5)

Start by multiplying 7x³ by x² and -5.

  • 7x⁵ - 35x³ + (8x² - 3)(x² - 5)    

Multiply 8x² by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² + (-3)(x² - 5)

Multiply -3 by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² -3x² + 15

Combine like terms together.

  • 7x⁵ - 35x³ + 8x⁴ - 43x² + 15

Rearrange the terms in descending power order.

  • 7x⁵ + 8x⁴ - 35x³ - 43x² + 15  
<h2>Verify (I): </h2>

Substitute x = 5 into the above polynomial.

  • 7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15

Evaluate the exponents first.

  • 7(3125) + 8(625) - 35(125) - 43(25) + 15

Multiply the terms together.

  • 21875 + 5000 - 4375 - 1075 + 15

Combine the terms together.

  • 21440

This is the answer when substituting x = 5 into the simplified expression.

<h2>Verify (II):</h2>

Substitute x = 5 into the expression.

  • [7(5)³ + 8(5)² - 3][(5)² - 5]

Evaluate the exponents first.

  • [7(125) + 8(25) - 3][(25) - 5]

Multiply the terms in the first bracket next.

  • [875 + 200 - 3][25 - 5]

Evaluate the expressions inside the brackets.

  • [1072][20]

Multiply these two terms together.

  • 21440

This is the answer when substituting x = 5 into the original (unsimplified) expression.

3 0
3 years ago
Please answer fast!!!According to the Triangle Sum Theorem, which combinations of side lengths would make a possible triangle? C
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Answer:

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Step-by-step explanation:

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Answer:

The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1

A=45

Step-by-step explanation:

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A rectangle has a diagonal of 277 centimeters and a length of 252cm. How long is the width?
Crank

Answer:

width = 115 cm

Step-by-step explanation:

width² = 277² - 252²

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