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
drek231 [11]
2 years ago
7

a rock is thrown from the top of a tall building. the distance, in feet, between the rock and the ground x seconds after it is t

hrown is given by f(x) =-16x^2-4x+382 How long after the rock is thrown is it 340 feet from the ground?
Mathematics
1 answer:
frez [133]2 years ago
3 0

Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

16x² + 4x - 42 = 0  (Multiply entire equation by -1, "flip" equation)

8x² + 2x - 21 = 0    (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0  (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

x = -\frac{7}{4} = -1.75 or  x =\frac{3}{2} = 1.5

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

Hope this helps!

You might be interested in
The number of club members is at least 25
gladu [14]
5 x 5 is your answer
Have a great day
4 0
3 years ago
Write a word problem that you can solve by multiplying a mixed number y a whole number.Include a solution
Elanso [62]
3
- x 6 = 4
4

Mary has 6 cakes, she gives 3/4 of the cakes away. How many cakes does Mary have?
6 0
3 years ago
Sam and Mary are picking a topping for the ice cream. Their choices are strawberries, chocolate chips, gummi bears, caramel sauc
Pani-rosa [81]

Answer:

2/5

Step-by-step explanation: Total outcomes=5

favourable outcomes=2

Therefore ,P(E)=2/5

8 0
3 years ago
Find the value of x in the triangle shown below.<br> x = ___°
blagie [28]
I think x= 70 rights
5 0
3 years ago
a college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both
Rasek [7]
I’m not entirely sure but I think it’s D
8 0
3 years ago
Other questions:
  • A wheel has a radius of 10 cm. Approximately how far does it travel in 3 revolutions?
    9·1 answer
  • What is the decimal of 3hundreds and 109 hundreds
    10·2 answers
  • Please Help... Match each equation with its solution set. Tiles a2 − 9a + 14 = 0 a2 + 9a + 14 = 0 a2 + 3a − 10 = 0 a2 + 5a − 14
    6·1 answer
  • Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which t
    11·1 answer
  • Please answer this multiple choice question CORRECTLY for 30 points and brainliest!!
    5·1 answer
  • Jamal's lawn is shaped like a square with an area of 224.9 ft? Which measurement is closest to the side length of his
    15·1 answer
  • The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actually
    6·1 answer
  • If you actually know the answer plz give an explanation to the answer so i know you aren't just answering for points, please pla
    13·1 answer
  • Write an equation of the line.(slope intercept form)
    8·2 answers
  • What is the LCM for 12 and 14 step by step Ladder method or factors method
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!