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1 year ago

Find the set of values of k for which the equation 3x² - 12x + k >. 0 has no real roots.

Mathematics

1 answer:

anzhelika [568]1 year ago

3 0

Answer:

k > 12

Step-by-step explanation:

If a quadratic equation has no real roots the values of b^2 - 4ac

( for the general form ax^2 + bx + c = 0) is negative,

So we have the inequality:

(-12)^2 - 4*3* k < 0

144 - 12k < 0

12k > 144

k > 12

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An automobile travels past the farmhouse at a speed of v = 45 km/h. How fast is the distance between the automobile and the farm

yulyashka [42]

Answer:

$\frac{ds}{dt} = 39.586 km/h$

Step-by-step explanation:

let distance between farmhouse and road is 2 km

From diagram given

p is the distance between road and past the intersection of highway

By using Pythagoras theorem

$s^2 = 2^2 +p^2$

differentiate wrt t

we get

$\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)$

$2s \frac{ds}{dt} =2p \frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{s}\frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{\sqrt{p^2 +4}} \frac{dp}{dt}$

putting p = 3.7 km

$\frac{ds}{dt} = \frac{3.7}{\sqrt{3.7^2 +4}} 45$

$\frac{ds}{dt} = 39.586 km/h$

3 0

3 years ago

A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag with

Studentka2010 [4]

Answer:

11/120

Step-by-step explanation:

Red = 3
Yellow = 5
Blue = 2

Possible options would be red or yellow as only two blue marbles.

Probability of 3 red:

3/10*2/9*1/8 = 1/120

Probability of 3 yellow:

5/10*4/9*3/8 = 1/12

Probability of same three is:

1/120 + 1/12 = 11/120

3 0

2 years ago

PLS ANSWER QUICK LOL

Setler [38]

(3j, 3k) and (3/j, 3k)

So if their x values have the same signs and their y values have the same signs, they are in the same quadrant.

If j is negative, both 3j and 3/j would be negative. If j is positive then both 3j and 3/j are positive.

And 3k is the same as 3k.

5 0

3 years ago

Read 2 more answers

I NEED HELP FAST ILL GIVE BRAINLIEST IF CORRECT!

klio [65]

Answer:

$1548ft$

Step-by-step explanation:

$V=lwh$

$V=(10)(3)(6)=180$

$V=(19)(12)(6)=1368$

$V$ $=180+1368=1548$

plz mark me brainliest. :)

7 0

2 years ago

Find the volume of this solid.

bija089 [108]

Answer:

Step-by-step explanation:

area of side surface=50×20+20×35=1000+700=1700 m²

voume of solid=1700×12=204,00 m³

6 0

2 years ago

Find the set of values of k for which the equation 3x² - 12x + k >. 0 has no real roots.​

Find the set of values of k for which the equation 3x² - 12x + k >. 0 has no real roots.