What is the largest positive integer value of m such that the equation 3x^2 - mx + 7 = 0 has no real solutions?

Answers

Answer 1

Answer: use determinant
in form ax²+bx+c=0
when b²-4ac>0, it has 2 real roots
when b²-4ac=0, it has 1 real root
when b²-4ac<0, it has no real roots
so

we solve for no real roots
b²-4ac<0
a=3
c=7
b=-m

(-m)²-(4)(3)(7)<0
m²-84<0
add 84 both sides
m²<84
sqrt both sides
m<9.1 about
nearest integer
round down
m=9

answer is m=9

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$350 at 3% for 10 years

Answers

350(1+.03)^10
350(1.03)^10
350(1.3439)
$470.37

350(1.03)^10
350(1.3439)
$470.37

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials.What is the relative frequency of selecting a club?

Outcome Club Diamond Heart Spade
Number of trials 8 12 11 9

A.
17%

B.
20%

C.
25%

D.
30%

Answers

the answer is d.) 20%

Jordan saved 4/5 of the amount he needs to buy a $80 video game. If he earns $7.75 per hour by working at a pizza shop, how many hours does he need to work to save the rest of the money for the video game? round to the nearest hour

Answers

Amount of money saved by Jordon for the video game = (4/5) * 80
      = 4 * 16 dollars
   = 64 dollars
So
The amount of money that
Jordan needs to earn more for buying the video game = (80 - 64) dollars
   = 16 dollars
Amount earned by Jordan per hour working at a pizza shop = $7.75
Let us assume the number of hours Jordan needs to work to save the rest of the money for the video game = x
Then
7.75x = 16
x = 16/7.75
   = 2.06 hours
So it can be said that Jordan has to work 3 hours to save the rest of the money for the video game. If Jordan works 2 hours then he will be short of the required amount. If Jordan works for 3 hours he will have some excess amount in his hand after saving for the video game.

a mother seal is fed 5 fish for every 2 fish for its baby. if mother is fed 10 fish how many does the baby get?