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Anestetic [448]
3 years ago
9

How many real roots does a quadratic equation have if the discriminant is 10

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer:

2

Step-by-step explanation:

if the discriminant of the quadratic equation is 10 then it will have 2 real roots.

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A bag contains two coins, one for which the probability of heads is equal to 1 and one for which the probability of heads is equ
wlad13 [49]

Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)

Step-by-step explanation:

P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)

= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)

therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))

= 1 / (1 + p³)

Also P( second coin given 3 heads) = p³ /(1 + p³)

therefore P(4th toss in heads given first 3 are heads)  will be;

= P(first and 4th toss heads) + P(second and 4th toss heads)

=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p

= (1 + p⁴) / (1 + p³)

Therefore Option E is the correct answer

5 0
3 years ago
What percent of 96.4 is 23.4
Kipish [7]

Answer:

x = 24.27385%

Step-by-step explanation:

We can say 96.4x=23.4

Divide by 96.4: (x=23.4/96.4) = 0.24273858921

x=0.24273858921 so x = 24.27385...%

7 0
1 year ago
Find the center and the radius of the circle with the equation: <br> x2+6x+y2+4y+12=0
Andrews [41]

Answer:

centre = (- 3, - 2) , radius = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )

x² + 6x + y² + 4y = - 12

Use the method of completing the square on the x and y terms

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4

(x + 3)² + (y + 2)² = 1 ← in standard form

with centre = (- (- 3), - (- 2)) and r² = 1, that is

centre = (- 3, - 2) and radius = 1

8 0
3 years ago
. Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a
AnnZ [28]

Answer:

10/3 of a kitchen cabinet

Step-by-step explanation:

To make a full hour, 1/5 would be multiplied by 5- and so would their progress.

2/3 * 5 = 10/3, which is also an improper fraction.

8 0
2 years ago
Brian and Bob visit a ski resort. Bob buys 2 full passes and 3 restricted passes. The total cost of his passes is £130.
Jobisdone [24]

Answer:

2x+3y=130

Step-by-step explanation:

Let x=cost of full pass

Let y=cost of restricted pass

Brian and Bob bought 2 full and 3 restricted passes.

Have a good day!

6 0
2 years ago
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