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USPshnik [31]
3 years ago
6

Solve the equation by completing the square. Round to the nearest hundredth if necessary? X^2+3x=24

Mathematics
1 answer:
Genrish500 [490]3 years ago
6 0
X^2+3x=24, halve the linear coefficient, square it, and add it to both sides

In this case (3/2)^2=2.25

x^2+3x+2.25=26.25 now the left side is a perfect square...

(x+1.5)^2=26.25  take the square root of both sides

x+1.5=±√26.25  subtract 1.5 from both sides

x=-1.5±√26.25

x=-1.5-√26.25 and -1.5+√26.25

x≈ -6.62 and 3.62
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It will be understood that population 6,000 billion (6*10^12) in 2017.
If this is not the case, follow the logic and the final number can be adjusted easily.

Mathematical answer:
In 2017: 6,000 billion=6000*10^9 =6*10^12
rate of increase = 1.3% per year (assumed constant)
final year = 2100
Population estimate in 2100
=6*10^12*(1.013^(2100-2017))
=6*10^12*(1.013^(83)
=6*10^12*(2.921352509198383)
=17.528*10^12
=17,528 billion.


8 0
3 years ago
John needs to make a scale drawing of his school building for art class. If the building is 256.25 meters long, and John scales
grin007 [14]
The Answer Is 10.25 inches. Since the building is 256.25 meters and 25 meters equals 1 inch, then you would divide 256.25 by 25.
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3 years ago
Please someone help me with this! Math
Helga [31]

Answer:

4,1

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6 0
4 years ago
Round to the whole number 2.8457
Wewaii [24]
3.0? pretty sure that’s the answer
5 0
3 years ago
Simplify x^4 y^2/x^2 y^6<br> a) x^6 y^8<br> b) x^2 y^4<br> c) x^2/y^4<br> d) y^4/x^2
TEA [102]

Answer:

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