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stepan [7]
3 years ago
7

Need help with this please and thank you in advance

Mathematics
1 answer:
zhuklara [117]3 years ago
5 0
To solve this question you divide by -1 on both sides to get x by itself. This will get you the answer
x = 4
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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
If the length of a rectangle is 6 more than twice the width and the total perimeter is 84cm, what is the rectangle's length?
tino4ka555 [31]

Step-by-step explanation:

length = 2×width + 6

84 = 2×length + 2×width

now using the first in the second equation :

84 = 2×(2×width + 6) + 2×width = 4×width + 12 + 2×width

84 = 6×width + 12

72 = 6×width

width = 12 cm

length = 2×width + 6 = 2×12 + 6 = 24 + 6 = 30 cm

5 0
2 years ago
If a jogger runs a 10-kilometer race in 60 minutes, what is her average speed?
STALIN [3.7K]

Answer:

A

Step-by-step explanation:

Speed = distance/ time

=10km/ 1hr(60mins)

= 10km/ 1hr

=10km/hr

3 0
3 years ago
Do you know how to do integer exponents
Natasha2012 [34]

Answer:

sure i do! pls provide answer choices.

4 0
3 years ago
PLEASE HELPP!!!!!! FOR 10 POINTS. Am I right? Show work if I’m wrong
7nadin3 [17]

Answer:

you are correct, they are supplementary

Step-by-step explanation:

6 0
3 years ago
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