Answer:
Option C is correct.
The discriminant of the function is negative since the function doesn't have real roots as evident from the graph.
Step-by-step explanation:
The discriminant of a quadratic equation is the part of the quadratic formula underneath the square root symbol, that is, (b² - 4ac).
The discriminant tells us whether there are two solutions, one solution, or no solutions.
- When the discriminant is positive or greater than zero, that is, (b² - 4ac) > 0, the quadratic function has 2 real distinct roots.
- When the discriminant is equal to zero, that is, (b² - 4ac) = 0, the quadratic function has 1 repeated root.
- When the discriminant is negative or lesser than zero, that is, (b² - 4ac) < 0, the quadratic function has no real roots.
For this question, the graph of the quadratic function shows that it doesn't have real roots (this is evident because the graph doesn't cross the x-axis), hence, the duscriminant of this quadratic function has to bee negative.
Hope this Helps!!!
Answer:
Roller skates speed = 9 miles per hour
Bike speed = 17.5 miles per hour
Step-by-step explanation:
On roller-skates, Ian can travel 3/4 of a mile in 5 minutes.
Speed = Distance(miles)/Time(hours)
Convert 5 minutes to hour
60 minutes = 1 hour
5 minutes = 5/60
= 1/12 hour
Hence, his speed =
3/4mile ÷ 1/12
= 3/4 × 12/1
= 9 miles per hour
On his bike, he can travel 3 1/2 miles in 12 minutes.
Convert 12 minutes to hour
60 minutes = 1 hour
12 minutes = 12/60 = 1/5
Hence, his speed =
3 1/2 mile ÷ 1/5
= 7/2 ÷ 1/5
= 7/2 × 5/1
= 35/2 miles per hour
= 17.5 miles per hour
The team can be formed in 420 different ways
This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.
if r number of objects is to be selected from a pool of n objects, this can be done in nCr number of ways.
Now If A company has 8 male and 6 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;
teams
Hence, The team can be formed in 420 different ways
Learn more about combination here brainly.com/question/2280043
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Answer:
=24in^2
Step-by-step explanation:
Whole perimeter: 72 in
72/3= 24 in
10+7h=24
7h=14
h=2
Area= 1/2 (24)*2
=24in^2