MATHEMATICS COLLEGE

If the discriminant of a quadratic equation is 4, which statement describes the roots?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

I. If discriminant >0 then the quadratic equation has the roots x1 and x2 and

a) x1 and x2 are real numbers

b) x1≠x2

II.  If  discriminant =0 , then x1=x2 and is a real number

III. If discriminant < 0 the equation has complex roots , x1=a+bi ,

x2=a-bi ,  where i=V-1
Answer 2
Answer:

Answer: B. There are 2 real roots.

Step-by-step explanation:

Edge 2023

Related Questions

If n is a positive integer, which of following statement is individually sufficient to prove whether 289 is a factor of n?a. The greatest common divisor of n and 344 is 86. b. Least common multiple of n and 272 is 4624. c. The least common multiple of n and 289 is 289n.
What is the relationship between these two values? 8 and 400
Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480. Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. Part B: Write the equation obtained in Part A using function notation. Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
Nolan wrote 1.63 as a fraction in simplestform. Which number did Nolan write inthe numerator of the fraction?
Which of the following expressions are equivalent to - -a/b

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 14 buyers are randomly selected, what is the probability that exactly 12 buyers would prefer green

Answers

Answer:

The probability that exactly 12 buyers would prefer green

=0.00555

Step-by-step explanation:

We are given that

p=50%=50/100=0.50

n=14

We have to find the probability that exactly 12 buyers would prefer green.

q=1-p

q=1-0.50=0.50

Using binomial distribution formula

P(X=x)=nC_r p^r q^(n-r)

P(x=12)=14C_(12)(0.50)^(12)(0.50)^(14-12)

P(x=12)=14C_(12)(0.50)^(12)(0.50)^2

P(x=12)=14C_(12)(0.50)^(14)

P(x=12)=(14!)/(12!2!)(0.50)^(14)

P(x=12)=(14* 13* 12!)/(12!2* 1)(0.50)^(14)

P(x=12)=91\cdot (0.50)^(14)

P(x=12)=0.00555

Hence, the probability that exactly 12 buyers would prefer green

=0.00555

Keith has a bag of Skittles. He is trying to get Jashawn to figer out how many Skittles are in his bag. There are 16 red. 25% of the bag is orange. 1/8 of the skittles are yellow. Tge rest of the skittles are green.If 2/5 of the bag is red,how many skittles are in the bag? How many skittles are orange? How many of the skittles are green?

Answers

Answer:

Total number of skittles in bag are 40

There are 10 orange skittles.

There are are 9 green skittles.

Step-by-step explanation:

Suppose there are "x" number of skittles in the bag.

Given that 2/5 of x = 16

Solving above equations gives , x = 40

That means total numbers of skittles are 40.

2/5 of 40 = 16 red skittles.

25 % of 40 = 10 orange skittles

1/8 of 40 = 5 yellow skittles

40-16-10-5 = 9 green skittles.

A regular polygon has an interior angle of 172º.
Find the number of sides of this polygon.

Answers

Answer:

45 sides

Step-by-step explanation:

If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides.

Use the compound interest formulas A = P 1 + r n nt and A = Pe rt to solve. 2) Suppose that you have $8000 to invest. Which investment yields the greater return over 6 years: 6.25% compounded continuously or 6.3% compounded semiannually? 2) A) $8000 invested at 6.3% compounded semiannually over 6 years yields the greater return. B) $8000 invested at 6.25% compounded continuously over 6 years yields the greater return. C) Both investment plans yield the same return.

Answers

Answer: A

Compound interest simply defined as the interest added at regular interval. Compound interested can be calculated using

Compound interest = P (1+) ^nt and Pe ^rt

P = Initial balance

r = Annual interest rate

n = Number of times the interest is compounded per year

t =Number of year money is invested

Using

Compound interest = P (1+ ) ^nt

Continuous

P= $ 8000

t = 6

r = 6.25%

=

= 0.0625

n = 1

Compound interest = 8000 (1+) ^1×6

= 8000 (1 + 0.0625) ^6

= 8000 (1.0625) ^ 6

= 8000× 1.4387

= $11,509.6

Semi- annually

P= $ 8000

t = 6

r = 6.3%

=

= 0.063

n = 2

Compound interest = 8000 (1+) ^2×6

= 8000 (1 + 0.063) ^12

= 8000 (1.063) ^12

= 8000× 1.4509

= $11,607.0

Investing $ 8000 semi-annually at 6.3% for 6 years yields greater return

Therefore the answer is (A)

You have been waiting for months. The latest version of your favorite video game comes out today. You have mowed lawns, done extra chores, and saved up gift money. The new game costs $49.99. You have exactly $50.00 saved. So you are good to go, right? In 3 to 5 sentences explain if you have enough money to buy that game in Pennsylvania where sales tax is 6%. If you have enough money, will you have change? If you do not have enough money, how much more do you need?

Answers

if I had enough money, of course I will have change.

Which of the following equations are the correct answer? Please help due tomorrow

Answers

(3,2), (-1,-4)

Slope = (y2-y1)/(x2-x1)= (2+4)/(3+1) =3/2
(y-y1) = 3/2(x-x1)
(y-2)=3/2(x-3)
(y+4)=3/2(x+1)
Correct answer: A,E
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