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
timofeeve [1]
3 years ago
14

an achers arrow follows a parabolic patch. the height of the arrow, f(x), in feet, can modeled by the function f(x)=-0.07x^2+1.5

x+6.7, where x is the arrows horizontal distance, in feet. what is the maximum height of the arrow?
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

The maximum height of the arrow is 14.73 m.  

Step-by-step explanation:

The height of the arrow follows a parabolic path. Its height can be modeled by the function,

f(x)=-0.07x^2+1.5x+6.7 ......(1)

It is required to find the maximum height of the arrow

For maximum height, f'(x)=0

i.e.

\dfrac{d(-0.07x^2+1.5x+6.7)}{dx}=0\\\\-0.14x+1.5=0\\\\0.14x=1.5\\\\x=\dfrac{1.5}{0.14}\\\\x=10.71\ m

Put x = 10.71 m in equation (1). So,

f(x)=-0.07(10.71)^2+1.5(10.71)+6.7\\\\f(x)=14.73\ m

So, the maximum height of the arrow is 14.73 m.

You might be interested in
Will mark brainliest. 20 points.
Genrish500 [490]

Answer:

I dont know sorry look so complicated

8 0
3 years ago
What is 30% of 70? Please help.
garik1379 [7]
Hi lovely,

The answer you're looking for is 21.
3 0
3 years ago
Read 2 more answers
Simplify by dividing <br> 3/5 ÷ -4/9<br><br> 1. -27/20<br> 2. 27/20<br> 3. -12/45<br> 4. 12/45
kramer

Answer:

The answer to your question is -27/20

Step-by-step explanation:

Divide         3/5  ÷  - 4/9

Process

1.- Just multiply the numerator of the first fraction by the denominator of the second fraction.                                      

                    3 x - 9 = -27

2.- Multiply the denominator of the first fraction by the numerator of the second fraction.

                    5 x 4 = 20

3.- Join both results

                               -27/20

5 0
3 years ago
Use the drop-down menus to choose steps in order to correctly solve 5(z + 6) – 2 = 9z for z.
shusha [124]
Solve for z:
5 (z + 6) - 2 = 9 z

5 (z + 6) = 5 z + 30:
5 z + 30 - 2 = 9 z

Add like terms. 30 - 2 = 28:
5 z + 28 = 9 z

Subtract 9 z from both sides:
(5 z - 9 z) + 28 = 9 z - 9 z

5 z - 9 z = -4 z:
-4 z + 28 = 9 z - 9 z

9 z - 9 z = 0:
28 - 4 z = 0

Subtract 28 from both sides:
(28 - 28) - 4 z = -28

28 - 28 = 0:
-4 z = -28

Divide both sides of -4 z = -28 by -4:
(-4 z)/(-4) = (-28)/(-4)

(-4)/(-4) = 1:
z = (-28)/(-4)

The gcd of 28 and -4 is 4, so (-28)/(-4) = (-(4×7))/(4 (-1)) = 4/4×(-7)/(-1) = (-7)/(-1):
z = (-7)/(-1)

(-7)/(-1) = (-1)/(-1)×7 = 7:
Answer:  z = 7
5 0
3 years ago
Read 2 more answers
I'm stuck on graphing this quadratic equation:<br><img src="https://tex.z-dn.net/?f=y%20%5Cleqslant%20%20%7Bx%7D%5E%7B2%7D%20%20
rewona [7]
Your welcome I hope it is right

7 0
3 years ago
Other questions:
  • If the wages of 12 workers for 5 days are $7500, find the wages of 17 workers for 6 days.
    7·2 answers
  • A pump adds 5 gallons to a storage pond every 2 minutes. How many minutes will it take to pump 20 gallons into the pond?
    9·1 answer
  • If f(x) = x and g(x) = 2x + 7, what is<br>f[90X)] when g(x) = 11?​
    5·1 answer
  • Carlos graphs the equations y = 0.5x2 + 3 and y = –4x2 + 24x – 35 and generates the graph below. Which conclusion is supported b
    8·2 answers
  • What is the point of an object where the force of gravity is considered to act?
    13·1 answer
  • <img src="https://tex.z-dn.net/?f=9.60%20%5Ctimes%201.2%20%3D%20" id="TexFormula1" title="9.60 \times 1.2 = " alt="9.60 \times 1
    14·2 answers
  • A square has a perimeter of 4 cm. What is the length of each side?
    9·2 answers
  • W - 4 &gt; -10<br> Solve the inequality for W
    11·1 answer
  • What is an equation of the line that passes through the points (1,6) and (1, 2)?
    7·1 answer
  • A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!