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
Which expression is equivalent to -5a + 12b - c + 5a - 7b + 12c after combining like terms?
just olya [345]

Answer:

5b + 12c

Step-by-step explanation:

-5a +5 a = 0

12b-7b = 5b

12c= 12c

therefore you have the expression 5b+12c

4 0
2 years ago
Round 69581.491337 to the nearest thousand.
Anika [276]

Answer:

7000

Step-by-step explanation:

lets start with 695

9 is the thousand

you check the number next to 9

less then 4 let it rest

more than 5 let it soar

something like that lol

anyways since 5 is next to the 9 we round up from 9 to the next number which is 10

so that changes the whole number to 7000

hope this makes sense!

3 0
2 years ago
PLEASE HELP ME!!!!!!!!! Two stores carry a similar stereo for the same original price of $573. One store offers a 16% discount a
baherus [9]
The second store price is cheaper beacuse 16% of 573 gives off $91.68 and when u do that u get $481.32 so 458.40 is cheaper.
8 0
3 years ago
Plz need help. is very urgent.
Luda [366]

Answer:

Its blurry can you take it again

Step-by-step explanation:

5 0
2 years ago
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • How many times does 50 go into 186 when dividing
    7·2 answers
  • 4. A cone has a height of 4 and a base area of 9pi. What is it's volume? <br><br> Show work
    9·1 answer
  • Melissa is purchasing a $160,000 home and her bank is offering her a 30-year mortgage at a 4.9% interest rate. In order to lower
    11·1 answer
  • How do the measures of the side lengths of AABCcompare with those of AA'B'C' when AA'B'C' coincides with the other three triangl
    10·1 answer
  • Which of the following is a trinomial with a constant term?
    10·1 answer
  • Sloutions to y=x-4<br> (6,3)<br> (4,0)<br> (3,-1)<br> (2,-4)
    7·2 answers
  • How do i estimate .48
    13·1 answer
  • Determine the period of this Function.
    12·1 answer
  • Can someone please answer this! I will give BRAINLIEST for the best answer I get. The photo below has the question, so please an
    8·1 answer
  • What is the difference? startfraction x over x squared 3 x 2 endfraction minus startfraction 1 over (x 2) (x 1) endfraction star
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!