1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rama09 [41]
3 years ago
15

A frog leaps 24 inches. The highest point in the jump is 6 inches. Assume the frog starts at (0,0). What quadratic function mode

ls the path of the jump?
Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0
The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-\frac{1}{24} (x-12)^2+6
You might be interested in
A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the
Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1

Total outcomes:

12 peaches, from a set of 15. So

T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455

Probability:

p = \frac{D}{T} = \frac{1}{455} = 0.0021

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36

Total outcomes:

12 peaches, from a set of 15. So

T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455

Probability:

p = \frac{D}{T} = \frac{36}{455} = 0.0791

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

3 0
3 years ago
Whats 999 divided by 9?
sp2606 [1]

999 divided by 9 is 111


6 0
3 years ago
Read 2 more answers
AaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaA
Ganezh [65]

Answer:

the answer is

B.Plate

i hope this helps ~_~

4 0
3 years ago
Read 2 more answers
To increase an amount bu 17.5%what single multiplier would i use ?
-Dominant- [34]
That would be 1.175  Answer
3 0
3 years ago
Please helppppppppppppppppp
Anika [276]
The answer will be 40. As it doubles twice during 220mins- 10 to 20 and then 20 to 40.
8 0
3 years ago
Other questions:
  • Line j goes through the point (-7, 5) and is perpendicular to 2x – 3y = -18. Find the equation of line j.
    13·1 answer
  • A bag contains 9 red marbles,5 green marbles, and 6 purple marbles.
    7·1 answer
  • Which of the following cannot be simplified ?
    9·2 answers
  • The X- Values (input Values) are called ________ of the function
    13·2 answers
  • I NEEDED HELP FAST PLZZZZZZ!!!!!
    5·2 answers
  • Match the equivalent expressions.
    14·1 answer
  • PLS HURRY! RIGHT ANSWER EARNS BRANLIEST
    11·2 answers
  • Let f(x)=3(12)x+1. Which is equal to f(1)?
    8·1 answer
  • In circle C, mDE = 84°. Find each measure.<br><br>1. measure of angle EFD​
    10·1 answer
  • Harold bought an 8 pound bag of birdseed to use in his bird feeder. How many ounces is this?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!