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solniwko [45]
2 years ago
15

Show how to add 2 1/2+ 4/5 using the number line below

Mathematics
1 answer:
denis-greek [22]2 years ago
3 0

Answer:

Start at 2 1/2 plot that. Then go to 3 3/10 which is 3 right of the whole number 3 and plot it. Lastly, draw lines or bumps to represent going from 2 1/2 to 3 3/10.

Step-by-step explanation:

The Simplest way (This includes the graphing part but I advise you to use the addition steps first)

I always like to convert mixed numbers into decimals.

2 1/2 is 2.5 and 4/5 is 0.8.

2.5 + 0.8 = 3.3 which is 3 3/10

Graph:

2 1/2 should be in the middle of the whole numbers 2 and 3.

That is your starting point.

Now to add 4/5 which is 0.8 you could do 2.5 + 0.8 = 3.3

You need to find your ending point.

Your ending point should be 3 tickmarks to the right of 3.

Now, you could draw hop marks or arrows starting from 2 1/2 to 4/5

Addition Steps:

First, convert 2 1/2 to an improper fraction.

2x2 + 1 = numerator.

4+1 = 5

5/2 is 2 1/2.

Now you need to find a common denominator for 2 and 5.

This should be 10.

Multiply 5/2 by 5/5

Multiply 4/5 by 2/2

25/10 and 8/10 should be the answers

Now do 25+8 but keep the denominator 10.

25+8 is 33/10.

You could convert it to 3.3 which is 3 3/10  

3 3/10 is on your number line.

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Find and simplify each of the following for
WINSTONCH [101]

Answer:

(A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

(B) f(x + h) - f(x) = 8xh + 4h² - 6h

(C) \frac{f(x+h)-f(x)}{h}=8x+4h-6

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 4x² - 6x + 6

- To find f(x + h) substitute x in the function by (x + h)

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) = 4(x + h)² - 6(x + h) + 6

- Lets simplify 4(x + h)²

∵ (x + h)² = (x)(x) + 2(x)(h) + (h)(h) = x² + 2xh + h²

∴ 4(x + h)² = 4(x² + 2xh + h²) = 4x² + 8xh + 4h²

- Lets simplify 6(x + h)

∵ 6(x + h) = 6(x) + 6(h)

∴ 6(x + h) = 6x + 6h

∴ f(x + h) = 4x² + 8xh + 4h² - (6x + 6h) + 6

- Remember (-)(+) = (-)

∴ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

* (A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

- Lets find f(x + h) - f(x)

∵ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - (4x² - 6x + 6)

- Remember (-)(-) = (+)

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - 4x² + 6x - 6

- Simplify by adding the like terms

∴ f(x + h) - f(x) = (4x² - 4x²) + 8xh + 4h² + (- 6x + 6x) - 6h + (6 - 6)

∴ f(x + h) - f(x) = 8xh + 4h² - 6h

* (B) f(x + h) - f(x) = 8xh + 4h² - 6h

- Lets find \frac{f(x+h)-f(x)}{h}

∵ f(x + h) - f(x) = 8xh + 4h² - 6h

∴ \frac{f(x+h)-f(x)}{h}=\frac{8xh + 4h^{2}-6h}{h}

- Simplify by separate the three terms

∴ \frac{f(x+h)-f(x)}{h}=\frac{8xh}{h}+\frac{4h^{2} }{h}-\frac{6h}{h}

∴ \frac{f(x+h)-f(x)}{h}=8x+4h-6

* (C) \frac{f(x+h)-f(x)}{h}=8x+4h-6

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Answer:

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Step-by-step explanation:

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7 0
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Samantha has chocolate bars and lollipops in the the ratio 4:5. If she has 12 chocolate bars,how many lollipops does she have?
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4 • 3 = 12
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icang [17]

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Step-by-step explanation:

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