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Virty [35]
3 years ago
9

I'm having a hard time completing Task 2 of d. and e. Please answer them.

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0

Step-by-step explanation:

In part (d), we are shown how the sum of consecutive integers can be found.  The sum is:

S = n (x + y) / 2

where n is the number of integers, x is the first integer, and y is the last integer.

We want to use this formula to find the sum of the numbers 101-110.  We know there are 10 numbers between 101 and 110, so n = 10.

S = 10 (101 + 110) / 2

S = 1055

We used deductive reasoning to find the answer.

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Need help Thank you very much
Brrunno [24]

Answer:

A is right I believe

Step-by-step explanation:

a: 5x

b: 2x

c: 1/5x

d: 1/2x

4 0
3 years ago
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
What is - 5 = -2 what is the questionwhat is the question
Anni [7]

Answer:

-5 + 3 = -2

Step-by-step explanation:

I don't really understand what you're trying to ask here...

5 0
3 years ago
Solve the inequality 2n – 1 &lt; 39​
MatroZZZ [7]

Answer:

n < 20​

Step-by-step explanation:

2n – 1 < 39​

Add 1 to each side

2n – 1+1 < 39+1

2n < 40

Divide each side by 2

2n/2 < 40/2

n < 20​

3 0
3 years ago
The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet?
Art [367]
You take 20 / 12 for the inches in a foot and get 1.6 then times by 500 and get 833.3
4 0
3 years ago
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