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Monica [59]
3 years ago
9

What is the nature of the roots of the quadratic equationsbif the value of its discriminant is 0

Mathematics
1 answer:
scoray [572]3 years ago
4 0

If the discriminant is 0, then you'll have exactly one root. This is a double root since the root repeats itself.

Example: y = (x-5)^2 = x^2-10x+25 has a double root at x = 5

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Assume that the growth rate of a population of ants is proportional to the size of the population at each instant of time. Suppo
Nutka1998 [239]
(1/A)  dA/dt=  C where A is the population of ants and C is a constant
ln(A) = C*t + C1 where C1 is another constant that comes out of integration and t is time in days.
Plugging in: at t=0, A= 100 so C1 = ln(100) = 4.605
at t=3, A=230 so ln(230) = 3*C +4.605 so C = 0.278
Final equation:
ln(A) = 0.278t + 4.605
or:
A = exp(0.278t + 4.605)
After 14 days, A = exp(0.278*14 + 4.605) = 4875.2
7 0
3 years ago
Joyce paid $60.50 for an item at the store that was 45 percent off the original price. What was the original price?
Lynna [10]

Answer:

27.23

Step-by-step explanation:

60.50 divided by .45

4 0
2 years ago
On Saturday, 90 people visited a museum, Tickets to the museum cost
AveGali [126]

Answer:

64 adult tickets were sold

Step-by-step explanation:

Let a = adult tickets sold

c = child tickets sold

a+c = 90  since there were 90 tickets sold

12a+7c = 950  since the amount of money collect is 950

c = 90-a

Substitute this into the second equation

12a +7( 90-a) = 950

Distribute

12a + 630-7a = 950

Combine like terms

5a +630 = 950

Subtract 630 from each side

5a = 950-630

5a = 320

Divide by 5

5a/5 = 320/5

a =64

64 adult tickets were sold

3 0
2 years ago
How much sugar syrup would you get by:<br> Making 70% sugar syrup using 350g sugar?
zvonat [6]

Answer:

You will get 500g of sugar syrup.

I already answered this question.

You can get the answer by taking mass/mass% = 350/x

75/100 = 350/x

Therefore x = 500g of sugar syrup


8 0
3 years ago
mr. Choi spent $23 at the mall. If he left the mall with $59, how much money did he have when he first arrived at the mall?
Temka [501]

Answer: 82

Step-by-step explanation:

59+23=82

Check

82-23=59

8 0
3 years ago
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