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Andre45 [30]
3 years ago
10

What are the exact solutions of x2 + 5x + 1 = 0? (5 points)

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

Answer:

x=\frac{-5\pm\sqrt{21}  }{2}

Step-by-step explanation:

We use the quadratic formula here which says for a quadratic equation ax^2+bx+c=0.

x= \frac{-b\pm\sqrt{b^2-4ac} }{2a}

Now in our case

a=1\\b=5\\c=1

so we have:

x=\frac{-5\pm\sqrt{5^2-4(1)(1)}  }{2(1)} =\frac{-5\pm\sqrt{21}  }{2}

\boxed{x=\frac{-5\pm\sqrt{21}  }{2} }

Which are our solutions.

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We first calculate the percentage increase on the tax

Old value = 25×9 = 225 ⇒ The value 9 represents the 9 lots of thousands of the house's value
New value = 28×9 = 252

Increase in tax = 252 - 225 =27  
Percentage increase = (27÷225) ×100 = 12%

The amount of yearly rent would be then increased by 12%

Monthly rent = $60
Yearly rent = 60×12 = $720
Increase by 12% = 720×1.12 = 806.4 ⇒ The value 1.12 is the multiplier, obtained from 100%+12%=112%=1.12

The monthly rent is 806.4÷12 = $67.20 which is an increase of $7.20 per month
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3 years ago
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anyanavicka [17]

Answer:

10

Step-by-step explanation:

5! divided by all the repeats so 3!2! = 10 ways

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3 years ago
A soccer field is a rectangle 60 meters wide and 110 meters long. The coach asks players to run from one corner of the grass fie
Wittaler [7]

Answer:

A

Step-by-step explanation:

A soccer field is a rectangle 60 meters wide and 110 meters long. The coach asks players to run from one corner of the grass field to the opposite corner. The path from one corner of the grass field to the opposite corner is the diagonal of the rectangular field.

The width, the length and the diagonal of the rectangular field form right triangle. By the Pythagorean theorem,

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kobusy [5.1K]
7/6x=140

since variable x is multiplied by 7/6, find x by multiplying by the inverse of 7/6 which is 6/7.

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ABC

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Please consider a brainliest! Thank you!

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