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Alexus [3.1K]
3 years ago
9

Factor 4x^2 + 12x - 7 = 0 Please show all work!

Mathematics
1 answer:
telo118 [61]3 years ago
3 0

4x^2 + 12x - 7 = 0\\4x^2-2x+14x-7=0\\2x(2x-1)+7(2x-1)=0\\(2x+7)(2x-1)=0\\x=-\dfrac{7}{2} \vee x=\dfrac{1}{2}

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Find the roots of the quadratic equation x^2-8x=9 by completing the square. Show your work.
qaws [65]
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x = 5 + 4 or -5 + 4
x = 9 or -1
 
3 0
3 years ago
On a map of scale 1:20000 the area of a forest is 50cm^2.On another map the area of the forest is 8cm^2.Find the scale of the se
expeople1 [14]

Answer:

The answer is 1: 50000... If you look down here↓:

Step-by-step explanation:

With a scale of 1:20000, a unit length on the map represents a length of 20000. So 1 cm^2 = 1 cm* 1 cm which represents 20000*20000 cm^2 will be = 4*10^8 cm^2.

50 cm^2 represents that 4*50*10^8 cm^2 = 200* 10^8 cm^2.

Now, on the other hand, the map has the same. 200* 10^8 is represented by 8 cm^2. So the scale is sqrt [ 200* 10^8 / 8 ] = sqrt [ 25* 10^8 ] = 5* 10^4 = 50000.

Therefore the scale on the second map is 1: 50000.

5 0
2 years ago
A car dealership decreased the price of a certain car by 4% . The original price was $43,600 . write the new price in terms of t
defon

Answer: The new price of  the car is $41856

Step-by-step explanation:

So we know the the original price as 43,600 which is 100% and is being dropped by 4%  so you would have to subtract 4% from a 100% and multiply it by the original price.

100% - 4% = 96%

Now 96% of the original price is the new price.

96% * 43,600= ?

0.96 * 43,600 = 41856

6 0
3 years ago
Add the following complex numbers:
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Answer:

B. 7 - 9i

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1) Remove Parentheses.

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2) Add 2 and 5.

7 - 8i - i

3) Subtract i from -8i.

7 - 9i

6 0
3 years ago
Read 2 more answers
How to factor x^4-x^2-6=0
Artist 52 [7]

Answer:

(x² + 2) (x² - 3)

Step-by-step explanation:

x⁴ - x² - 6

x⁴- 3x² + 2x² - 6

x² (x² - 3) + 2(x² - 3)

(x² + 2) (x² - 3)

5 0
3 years ago
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