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Travka [436]
3 years ago
14

PLEASE HELP ITA DUE AT 9​

Mathematics
2 answers:
bekas [8.4K]3 years ago
5 0
B is the correct answer
PSYCHO15rus [73]3 years ago
4 0

Answer:

its the third one

Step-by-step explanation:

1.7x10^9

take care

-tired kitten

who wants to rest forever

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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
4 years ago
If x=1+√2 find the value of(x+1/x)^3
Musya8 [376]
Answer will be 1 or 20+14 root 2/1+11 root 2
6 0
3 years ago
Write the equation for the quadratic function in the graph.
fenix001 [56]

Answer:

B) h(x) = -1/4(x - 6)(x + 3)

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

In this question:

Concave down, so a < 0, which excludes options c and d.

Roots at x = 6 and x = -3. So

-\frac{1}{4}(x-6)(x-(-3)) = -\frac{1}{4}(x-6)(x+3)

So option B.

7 0
3 years ago
Round the number 502.6439 to the underlined place. The underlined number is 3
sergejj [24]
The 9 is higher than 5, so the 3 will round up to 4

502.644
3 0
4 years ago
shown. A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder
Natalija [7]

Answer:

Part A

71°

Part B

The ladder is been used safely

Step-by-step explanation:

Part A

We solve the above question using Trigonometric function of Cosine

cos x = Adjacent/Hypotenuse

Adjacent = The distance between the house and the bottom of the ladder = 4 feet

Hypotenuse = Length of the ladder = 12 feet

x = Angle

Hence:

cos x = 4/12

cos x = 1/3

x = arc cos (1/3)

x = 70.528779366°

Approximately to the nearest degree

= 71°

Part B

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?

Angle x = 71°

Therefore, the ladder is been used safely

4 0
3 years ago
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