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
AleksAgata [21]
3 years ago
14

A soccer ball was kicked in the air and follows the path h(x)=−2x2+1x+6, where x is the time in seconds and h is the height of t

he soccer ball. At what time will the soccer ball hit the ground?
Mathematics
2 answers:
Fantom [35]3 years ago
6 0

Answer:

At the time x = 2 seconds

Step-by-step explanation:

The height of the soccer ball is described by the function h(x), so if we want to know when the soccer ball will hit the ground, we just need to find the value of x that gives us the height zero, that is, h(x) = 0:

h(x) = −2*x^2 + 1*x + 6

0 = −2*x^2 + x + 6

2*x^2 - x - 6 = 0

Using Bhaskara's formula, we have:

Delta = b^2 - 4ac = 1 + 48 = 49

sqrt(Delta) = 7

x = (-b + sqrt(Delta)) / 2a = (1 + 7) / 4 = 2 seconds

faust18 [17]3 years ago
5 0

Answer:

x= 2 seconds

Step-by-step explanation:

Hello, I can help you with this

Step one

check the data

soccer ball was kicked in the air and follows the path h(x)=−2x2+1x+6

h(x)=−2x2+1x+6,using the correct format

h(x)= -2x^{2} +x+6

where

x is the time in seconds

and

h is the height of the soccer ball

so, when the ball hit the ground its height is o (zero)

you need put this value into the equation and then isolate x to find its value.

Step two

find the value of x, when h=0

h(x)= -2x^{2} +x+6\\0=-2x^{2} +x+6\\using\\x=\frac{-b+\sqrt{ b^{2}-4ac }}{2a}\\ a=-2,b=1,c=6\\x=\frac{-1+\sqrt{ 1^{2}-4(-2)(6) }}{2*-2}\\x=\frac{-1+\sqrt{ 1^{2}+48}}{-4}\\x=\frac{-1+\sqrt{49}}{-4}\\x_{1} =\frac{-1+7}{-4}\\x_{2} =\frac{-1-7}{-4}\\x_{1} =-\frac{3}{2} \\x_{2} =\frac{-8}{-4} \\x_{2}=2

we are looking for a time, so we only are going to use the positive x, it is X2

x= 2 sec

have a good day.

You might be interested in
13. Find the surface area of each figure to the nearest tenth. Show your work.
stiv31 [10]
A. The figure is a triangular pyramid. You can findits surface area by adding up the area of the three faces of the triangle and the area of the base. A derived formula also is used where the SA is equal to 12 times the perimeter of base times the slant height, added to that is the area of the base. The area of the square base is s^2. Its perimeter is 4s.

SA of Pyramid = 12*P*l + s^2
SA of Pyramid = 12*4s*l + 16^2
SA of Pyramid = 12*4(16)*(17) + (16)^2
SA of Pyramid = 11,008 square inches

b.) The formula for the SA of a cone is: 

SA of cone = πr[r+√(h^2+r^2)]
SA of cone = π(3)[(3+√(8^2+3^2)]
SA of cone = 108.8 square inches
7 0
3 years ago
Read 2 more answers
The value of a new car decreases by 10% in the first year. How much will a car be worth after one year if it’s initial value was
yan [13]

Answer:

$36000

Step-by-step explanation:

$40 000(0.10) = $4000

$40000 - $4000 = $36000

5 0
2 years ago
2+2+4= 8 x 12=<br> .........
Sveta_85 [38]

Answer:

96

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
(6x-9)+5=2 can you solve this
ehidna [41]
(6x -9) + 5= 2
= -54 + 5 
=  2
7 0
2 years ago
Read 2 more answers
fay makes necklaces to sell at a craft fairs she can make 18 necklaces in for 12 days.in simplest terms, at what rate does she m
wolverine [178]
(18 neclaces)/(12 days) = 1.5 necklaces/day

_____
Rate is generally expressed in terms of quantity per time period. ("Per" means "divided by" here.) So, to find the rate, you divide the quantity by the corresponding time period, as above. There are other sorts of rates, but this is perhaps the most common.
4 0
3 years ago
Other questions:
  • Is it A,B,C,D.... pls explain thank you
    13·2 answers
  • One number is twelve more than four times another
    15·1 answer
  • I need hep please help me (math)
    5·1 answer
  • A rental company charges a flat rate fee for $58 per day x coordinate represents of days and the y coordinate represents the tot
    11·1 answer
  • Draw a right triangle. Find the circumcenter. Then construct the circumscribed circle. Where is the location of the circumcenter
    11·1 answer
  • GUYS PLEASE HELP ME PLEASE HELP PLEASE PLEASE!!!
    13·2 answers
  • Find a function g for which g'(4)=g'(-8)=0
    12·1 answer
  • Multiply 25 by the difference of 34.78 and 12.99.
    7·2 answers
  • Can someone help me solve this?
    10·1 answer
  • R(6 1/2)=5(6 1/2) - 3.5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!