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melomori [17]
4 years ago
12

1 - 2.25x^8 Factor this

Mathematics
1 answer:
Yuliya22 [10]4 years ago
7 0

Answer:

(1+3/2x^4)(1-3/2x^4) = (1+1.5x^4)(1-1.5x^4)

Step-by-step explanation:

2.25 = 9/4

putting decimals into fractions will make this easier

9/4 = 3/2 * 3/2

a²-b² = (a+b)(a-b)

1 - 2.25x^8 = 1²-(3/2x^4)² = (1+3/2x^4)(1-3/2x^4) = (1+1.5x^4)(1-1.5x^4)

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Solve for x over the complex numbers.
Grace [21]

Answer:


Step-by-step explanation:

Given x^2+4x+13=0, find the complex roots.  The best approach here is to use the quadratic formula.  Note that a = 1, b = 4 and c = 13.  

Thus, the discriminant, b^2 - 4ac, is (4)^2 - 4(1)(13) = 16 - 52 = -36, and the square root of that is plus or minus i√36, or  plus or minus 6i.  


plus or minus i√

8 0
3 years ago
Read 2 more answers
Harold earns $10.50 per hour working at a doctor’s office. On Monday he spent 1 5/12 hours filing paper work, 1 3/4 sending emai
maks197457 [2]

Answer:$57.75

Step-by-step explanation:

Find the total amount of hours he worked

1\frac{5}{12} +1\frac{3}{4} +2\frac{1}{3}\\\\\frac{17}{12}+ \frac{7}{4} +\frac{7}{3} \\\\\frac{17+21+28}{12} \\\\\frac{66}{12}=\frac{66/2}{12/2}=\frac{33/3}{6/3}=  \frac{11}{2} or 5\frac{1}{2} or 5.5h

So, he worked 5.5h and he earns $10.50 an hour.

($10.50)(5.5h)=$57.75

5 0
3 years ago
What is 400000, 13000, 1100, 4 ones in standard form
Lesechka [4]

413,114

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4 0
3 years ago
function expressed by formula y=-0.5x is there a value of x for which y=-150 if there is such value then solve it
vekshin1

Answer:

3000

Step-by-step explanation:

y=-.05x

y=-150

x*.05=150

150/.05=3000

7 0
3 years ago
Read 2 more answers
Translate into an algebraic expressions: 120 is increased by d% and increased by 25% . What is the result ?
anastassius [24]

Answer:

The result is 150 + 1.5d

Step-by-step explanation:

We want to translate the wordings into algebraic expression.

Firstly, we increase 120 by d%

d% = d/100

So increasing 120 by d % means;

120 + (d/100 * 120)

= 120 + 1.2d

Then increase this by 25%

= (120 + 1.2d) + 25/100(120 + 1.2d)

= 120 + 1.2d + (120+1.2d)/4

= 120 + 1.2d + 30 + 0.3d

= 120 + 30 + 1.2d + 0.3d

= 150 + 1.5d

3 0
4 years ago
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