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
Calculate the area of the shaded sector.<br><br> 11.73<br><br> 11.2<br><br> 11.4<br><br> 11.83
laiz [17]
The formula for the area of a circle is

A=πr²
plug in the data we know
A=π4²
A=16π

Since we only we need to find the area of the shaded section, we need to twerk this equation a bit. (remember that the shaded section is 84/360 of the original circle.)

A=84/360*16π
A=11.728
A=11.73 units²


answer: <span>A=11.73 units²</span>
4 0
3 years ago
Write the set of points from −8 to −2 but excluding −3 and −2 as a union of intervals
Sauron [17]
If you're only dealing with integers, then the answer is:

[-8 , -3)

If you're dealing with real numbers, then the answer is:

[-8, -3)∪(-3, -2)
3 0
3 years ago
Please help me The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the lage
Helen [10]

Answer:

17

Step-by-step explanation:

Let the larger number be represented by x

Let the smaller number be represented by y

from the question, the next equations can be gotten :

x - y = 9  equation 1

x = 1 + 2y equation 2

Substitute for x in equation 1

1 + 2y - y = 9

1 + y = 9

Collect like terms

y = 9 - 1

y = 8

Substitute for y in equation 1 and solve for x (the larger number)

x - 8 = 9

x = 9 + 8

x = 17

6 0
3 years ago
4.) Which best describes the relationship between &lt; AFB and &lt; AFD?
MAVERICK [17]

Answer:

C. Supplementary angles

Step-by-step explanation:

Given

<AFB = 72

Required

Relationship of <AFB and <AFD

<AFB and <AFD are on a straight line and angle on a straight line is 180

From the presentation of both angles,

<AFB + <AFD = 180

Substitute 72 for <AFB

72 + <AFD = 180

Make <AFB the subject of formula

<AFD = 180 - 72

<AFD = 108

Since both <AFB and <AFD sums to 180, then they are supplementary angles.

Hence, the relationship between both angles is supplementary angles

5 0
3 years ago
If a = 1, find the values of b, c and d that make the given expression equivalent to the expression below.
vlada-n [284]

Answer:

To do this, you need to multiply out the expressions. This is a bit tedious, but remember like FOIL for binomials, for these trinomials you must multiply each term. If you need a step-by-step, I'd be happy to provide it. Let me know.

Once you have simplified the expression, you get

-x-9/2x-4

But, the problem stipulates that a must equal 1. We can equivalently factor out the negative sign and put it on the denominator with no change to write

x+9/-(2x-4) = x+9/-2x+4

So, seeing where each coefficient corresponds between the two expressions, you get a = 1, b = 9, c = –2, and d = 4.

8 0
3 years ago
Other questions:
  • Write the equation in standard form. Show Work!
    15·1 answer
  • Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). The formula for
    15·2 answers
  • What is the answer to the question
    7·1 answer
  • It costs $324 to buy a rug that measures 10’ by 12’. If the cost is proportional to the area, what does it cost to buy a 15’ by
    7·1 answer
  • What is the correct answer for this question?
    8·2 answers
  • Solve for y.<br> 3(3y-4)=51<br> Simplify your answer as much as possible.<br> y =
    8·2 answers
  • Marshall has $0.34 in dimes and pennies. He has 7 coins altogether. How many coins of each kind does he have?
    11·1 answer
  • Evaluate <br> 4x3x8-2x(8x5-37)
    5·1 answer
  • A city traffic light cycles through green, yellow, and red in 60 seconds. It is yellow for 3 seconds. Which term best describes
    14·1 answer
  • The sum of three consecutive integers is forty -two. find the three numbers
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!