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Viktor [21]
3 years ago
10

Express x2- 8x + 5 in the form (x -a)2-b where a and b are integers.

Mathematics
2 answers:
alukav5142 [94]3 years ago
7 0

Answer:

(x-4)^{2}-11

Step-by-step explanation:

x² - 8x + 5 = x² - 8x + (16 - 16) + 5      {we just added 16 and subtractEd it }

                 = (x - 4)² - 16 + 5               {<u><em>Reason </em></u>:  x² - 8x + 16 = (x - 4)² }

                 = (x - 4)² - 11

bija089 [108]3 years ago
5 0

Answer:

(x - 4)² - 11

Step-by-step explanation:

Given

x² - 8x + 5

To obtain the required form use the method of completing the square.

add/subtract ( half the coefficient of the x- term)² to x² - 8x

= x² + 2(- 4)x + 16 - 16 + 5

= (x - 4)² - 11

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masha68 [24]

Given:

-3x+2b>8

To find:

The value of x.

Solution:

We have,

-3x+2b>8

To find the value of x, we need to isolate x on one side.

Subtract 2b from both sides.

-3x>8-2b

Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.

\dfrac{-3x}{-3}

x

The required inequality for x is x.

Therefore, the correct option is A.

8 0
3 years ago
3 friends' meals at a resuraunt cost $13 $14 and $11. Use perentheses to write two diffrent expressions to show how much they sp
klemol [59]

Answer:

38

Step-by-step explanation:

(11+13)+14

11+13=24

24+14=38

8 0
3 years ago
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sveticcg [70]

Answer: the answer is 20

Step-by-step explanation:

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4 0
3 years ago
Recycling one glass bottle can save enough energy to power an oven for 7.5 minutes. A glass bottle weighs 500 grams. Glass used
musickatia [10]

This is a units conversion problem: you have time and you want to convert that to money. Any units conversion problem involves multiplication by 1 in various forms. When you are given 7.5 min = 1 bottle = 500g, you know that (500 g)/(7.5 min) = 1 because the numerator and denominator are equal. (Of course, you are aware that 500 g = 0.500 kg.) The idea is to choose the forms of 1 that cause units you don't want to cancel, leaving only the units you do want.


6\,h\times \dfrac{0.500\,kg}{7.5\,min}\times \dfrac{60\,min}{1\,h}\times \dfrac{5\,p}{1\,kg}\\\\=\dfrac{6\cdot 0.500\cdot 60\cdot 5\,p}{7.5\cdot 1\cdot 1}=120\,p


The glass for recycling that would save enough energy to power an oven for 6 hours costs 120p.

3 0
3 years ago
If nelson invests $5000 for 4 years and earns $600, what is the simple interest rate?
klio [65]

Answer: Simple interest rate = 3%.


Step-by-step explanation: We are given invested amount = $5000.

Number of years of investment = 4 years.

Interest earned = $600.

Simple interest formula.

I = P R T.

Where I is the earned interest, P is the invested amount , R is the rate of interest and T is the time in years.

Plugging values in formula, we get

600 = 5000 × R × 4

600 = 20000R.

Dividing both sides by 20000, we get

\frac{600}{20000}  = \frac{20000R}{20000} .

0.03 = R.

Multiplying by 100 to convert it in percentage, we get

0.03 × 100 = R

R = 3 %.



4 0
3 years ago
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