answer.
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
DerKrebs
20 days ago
9

Ricardo throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Ricard

o threw it, is modeled by w(x)=-5(x-8)(x+4)w(x)=−5(x−8)(x+4)w, left parenthesis, x, right parenthesis, equals, minus, 5, left parenthesis, x, minus, 8, right parenthesis, left parenthesis, x, plus, 4, right parenthesis What is the maximum height that the stone will reach?
Mathematics
1 answer:
AnnZ [9K]20 days ago
7 0
For this scenario, we start with the function:
 <span>w (x) = - 5 (x-8) (x + 4)
 </span><span>Reorganizing yields:
 </span><span>w (x) = - 5 (x² + 4x - 8x - 32)
 </span><span>w (x) = - 5x² - 20x + 40x + 160
 </span><span>w (x) = - 5x² + 20x + 160
 </span><span>Next, we take the derivative:
 </span><span>w '(x) = - 10x + 20
 </span><span>Setting this to zero and solving for x:
 </span><span>0 = -10x + 20
 </span><span>10x = 20
 </span><span>x = 20/10
 </span><span>x = 2 seconds
 </span><span>Substituting back:
 </span><span>w (2) = - 5 (2-8) (2 + 4)
 </span><span>w (2) = - 5 (-6) (6)
 </span><span>w (2) = 180 meters
 </span>Conclusion:
 
The peak height attained by the stone is:
 
w (2) = 180 meters
You might be interested in
20 POINTS Compost costs $10 per cubic yard and topsoil costs $2 per cubic yard. Maria needs more than 10 cubic feet of topsoil.
Inessa [9000]
I can't view the graph, but let’s apply reasoning
hmm, since it requires more than 10 cubic feet of topsoil, the first and second options aren’t feasible

let’s analyze the costs
third option
10*1=10
2*12=24
10+24=34 and 34<50, that works

fourth option
3*10=30
2*12=24
30+24=54
54>50, that's too high


the answer is the third one
the one with 1 cubic yard of compost and 12 cubic yards of topsoil
8 0
11 days ago
Read 2 more answers
When Margo makes cheese ravioli, she uses both ricotta and mozzarella cheeses to make the filling. She often varies the proporti
Zina [9171]

Answer:

cuando hables de raviolis de queso, dile a Martha que vaya al supermercado a comprar raviolis Chef Boyardee.

6 0
29 days ago
A dental laboratory technician earns $14 per hour when she work days and $18 per hour when she works nights. One month she works
Inessa [9000]

Answer:

Her accumulated earnings for the month total $2208

Step-by-step explanation:

A dental lab technician receives $14 hourly for day shifts and $18 hourly for night shifts.

During one month:

She completed six 4-hour day shifts

Thus, total hours worked = 6 \times 4 = 24 hours

Three 8-hour day shifts = 3 \times 8 = 24 hours

Three 10-hour day shifts = 3 \times 10 = 30 hours

Total day hours = 24+24+30=78 hours

Hourly rate for daytime work = $14

Cost for 78 day hours = 14 \times 78 =1092

Five 6-hour night shifts= 5 \times 6 = 30 hours

Four 8-hour night shifts =4 \times 8 = 32 hours

Total night hours = 30+32=62 hours

Hourly rate for nighttime work = $18

Cost of 62 night hours = 62 \times 18=1116

Thus, total monthly earnings = $1092+$1116 = $2208

Consequently, her total pay for the month amounts to $2208

5 0
2 days ago
The present age of Alex is ‘y’ years. Answer the following
PIT_PIT [9117]

Answer:

(a) What will his age be after 5 years?

"5 + y" years old

(b) What was his age 6 years ago?

"y - 6" years old

(c) If his grandfather’s age is five times his, how old is his grandfather?

"5y" years old

(d) His father is 6 years older than three times his age. How old is his father?

"6 + 3y" years old

Note: Disregard the quotation marks, ""

5 0
22 days ago
Read 2 more answers
If p+pq is 4 times p-pq, and pq does not equal to 0, which of the following has exactly one possible value? A)p B)q C)pq D)p+pq
Inessa [9000]
D is the correct option since it represents a combination where neither p nor a equals zero.
8 0
13 days ago
Other questions:
  • It rounded to the nearest dime what is the greatest amount of money that rounds to $105.40
    6·2 answers
  • Liam is a tyre fitter. it takes him 56 minutes to fit 4 tyres to a van.
    15·2 answers
  • Elyse folded a piece of paper in half 3 times. She then punched 3 holes in the paper. How many holes are in the paper when she u
    8·2 answers
  • A researcher evaluates the significance of a multiple-regression equation and obtains an F-ratio with df = 2,24. How many partic
    11·1 answer
  • Data from 14 cities were combined for a​ 20-year period, and the total 280 ​city-years included a total of 107 homicides. After
    11·1 answer
  • Maximum value of x3y3 + 3 x*y when x+y = 8.
    10·2 answers
  • What is the length of EF in the right triangle below?
    15·2 answers
  • You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as p
    9·1 answer
  • If 2 and 4 each divide q without remainder which of the following must q divide without remainder
    5·2 answers
  • Caroline measured the weight of a dog that came into the veterinary clinic. She determined that her measurement had a margin of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!