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2 years ago

Write 38.5% as a decimal

Mathematics

1 answer:

Brrunno [24]2 years ago

7 0

0.385 there you go your welcome

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Let u and v be the solutions to 3x^2 + 5x + 7 = 0. Find u/v+v/u

Hitman42 [59]

Answer: $\dfrac{-17}{21}$

Step-by-step explanation:

Given: u and v be are the solutions of $3x^2+5x+7=0$

Let $ax^2+bx+c=0$ is the quadratic equation and u and v are the zeroes/solutions then

Sum of zeroes; $u+v = \dfrac{-b}{a}$

Product of zeroes; $uv= \dfrac{c}{a}$

Comparing $3x^2+5x+7=0$ to $ax^2+bx+c=0$

we get a= 3 , b= 5 and c = 7

$u+v = \dfrac{-b}{a} = \dfrac{-5}{3}----(i)$

$uv= \dfrac{c}{a} = \dfrac{7}{3}----(ii)$

Now we have to find

$\dfrac{u}{v} +\dfrac{v}{u} =\dfrac{u^2+v^2}{uv}$ adding and subtracting 2uv in numerator we get

$= \dfrac{u^2+v^2+2uv-2uv}{uv}= \dfrac{(u+v)^2-2uv}{uv}$

Substituting the values from (i) and (ii) we get

$\dfrac{(\dfrac{-5}{3} )^2-2\times \dfrac{7}{3} }{\dfrac{7}{3} } = \dfrac{\dfrac{25}{9} -\dfrac{14}{3} }{\dfrac{7}{3} }= \dfrac{\dfrac{25-42}{9} }{\dfrac{7}{3}} =\dfrac{-17}{9} \times \dfrac{3}{7} = \dfrac{-17}{21}$

Hence, the value of $\dfrac{u}{v} +\dfrac{v}{u}$ is $\dfrac{-17}{21}$

5 0

3 years ago

A gardener plants 250 sunflower seeds and 210 germinate. Find the probability that a sunflower seed will germinate.

Anni [7]

Answer:

There is a 84% probability that the seed will germinate. (Poor plants)

Step-by-step explanation:

250 = 100%

210 = x

250x = 21000

x = 84

7 0

2 years ago

I needs help please, a step by step answer

trapecia [35]

Answer:

Step-by-step explanation:

Pythagorean theorem: a²+b²=c² a²=32² b²=60² c²=hypotenuse²

32²+60²=c²

1024+3600= c²

4624=c²

Now, take the square root of both sides of the equation to find c

$\sqrt{4624}$ =c

68=c

6 0

1 year ago

Read 2 more answers

Write 82,700,000 in scientific notation.

aleksandr82 [10.1K]

Answer:

8.27 x 10^7

Step-by-step explanation:

Move the decimal over 7 times

8 0

2 years ago

Jake has $200 in his savings account. He works a part-time job and plans on depositing $40 per week into the savings account. Wh

LiRa [457]

Answer:$8,000

Step-by-step explanation:

YEah im too lazy to say hiow i sovled jt

5 0

2 years ago