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2 years ago

19. 2x²+5√3 x+6 = 0

Mathematics

1 answer:

Mama L [17]2 years ago

7 0

Answer:

Step-by-step explanation:

2x²+5√3 x+6 = 0

Comparing this with quadratic equation ax^2+bx+c=0

So a=2,b=5√3,c=6

Discriminant D=b^2-4ac

D=(5√3)^2-4.2.6

= 75-48

=27.

27 >0

Hence the roots are real roots

X=(-b+√D)/2a, Y=(-b-√D)/2a

X=(-5√3+√27)/2×2, Y=(-5√3-√27)/2×2

X=(-5√3+3√3)/4,. Y=(-5√3-3√3) /4

X=-2√3/4,. Y=-8√3/4

X=-√3/2, Y =-2√3

So roots are X=-√3/2,Y=-2√3

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Read 2 more answers

The function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website lau

Wittaler [7]

Answer:

$y = 30x+290$

Step-by-step explanation:

Given

$y=-x^2+65x+256$

Required

The linear function of a competitor's website

On day 1, both websites have the same subscribers.

This implies that:

$y=-x^2+65x+256$

Substitute: $x =1$

$y=-(1)^2+65*1+256$

$y=-1+65+256$

$y=320$

This implies:

$(x_1,y_1) = (1,320)$

On day 34, both websites have the same subscribers.

This implies that:

$y=-x^2+65x+256$

Substitute: $x =34$

$y=-(34)^2+65*34+256$

$y=-1156+2210+256$

$y=1310$

This implies:

$(x_2,y_2) = (34,1310)$

To calculate the linear function of the competitor, we have:

$(x_1,y_1) = (1,320)$

$(x_2,y_2) = (34,1310)$

Calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 -x_1}$

$m = \frac{1310 - 320}{34-1}$

$m = \frac{990}{33}$

$m = 30$

The equation is then calculated as:

$y = m(x - x_1) + y_1$

This gives:

$y = 30 * (x - 1) + 320$

Open bracket

$y = 30x - 30 + 320$

$y = 30x+290$ --- This represents the linear function of the competitor's website

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2 years ago

A carousel turns counterclockwise in one degree sections, a total of 280 times , The carousel has turned a total of degrees?

evablogger [386]

Answer:

100800°

Step-by-step explanation:

One degree section is 360°

Turning 280 times will give 280 x 360 = 100800°

5 0

3 years ago

19. 2x²+5√3 x+6 = 0​

19. 2x²+5√3 x+6 = 0