anonymous
  • anonymous
The path of a soccer ball is modeled by the function h(x) = -0.005x2 + 0.25x, where h is the height in meters and x is the horizontal distance that the ball travels in meters. What is the maximum height that the ball reaches? ___________ m. Round your answer to the nearest thousandth.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
h(-.25/2(-.005))=h(25)
anonymous
  • anonymous
you can also do it with calculus
anonymous
  • anonymous
h(x) = -0.005x2 + 0.25x, h'(x)= -0.005(2x) +0.25 h'(x) =0 -0.005(2x) +0.25 =0 x=25 max height =h(25)=-0.005(25)^2 + 0.25(25)=3.125

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Jamen, are you in calculus, or algebra?
anonymous
  • anonymous
algebra
anonymous
  • anonymous
ok, do you know how to find the vertex of a parabola?
anonymous
  • anonymous
not really im having trouble setting up and the equation and solving it..
anonymous
  • anonymous
Given h(x) = -0.005x2 + 0.25x diff it once and set it to zero, we can get x that belongs to the vertex (slope of vertex=0) as the coeff. of x^2 <0, h(x) opens downward so we can know that the vertex is the max point put the x we get into h(x) to find its value
anonymous
  • anonymous
The highway mileage m in miles per gallon for a compact car is approximated by m(s) = -0.025s2 + 2.45s - 30, where s is the speed in miles per hour. What is the maximum mileage for this compact car to the nearest tenth of a mile per gallon? __________ mi/gal. (Enter the number only.) can u also help me solve this equasion??
anonymous
  • anonymous
The highway mileage m in miles per gallon for a compact car is approximated by m(s) = -0.025s2 + 2.45s - 30, where s is the speed in miles per hour. What is the maximum mileage for this compact car to the nearest tenth of a mile per gallon? __________ mi/gal. (Enter the number only.) can u also help me solve this equasion??
anonymous
  • anonymous
CoCo, he said he's in algebra, not calculus
anonymous
  • anonymous
Sorry for that. I study both so I cannot really distinguish which topic is belong to which side. Sorry again
anonymous
  • anonymous
jamens you are familiar with quadratics, right? and can identify the values of a,b,c in the expression ax^2+bx+c?
anonymous
  • anonymous
-0.025s^2+2.45s-30 Identify a,b,c
anonymous
  • anonymous
ok i got -2.45/2(-0.025) -30 how would i solve it
anonymous
  • anonymous
the x-coordinate of the vertex is -2.45/[2(-0.025)]
anonymous
  • anonymous
when you plug the result of this into h(x), you will get your max. note that it is only a max because the coefficient of a<0 if a>0, plugging in this value would give you a min
anonymous
  • anonymous
so the maximum mileage is m(49)
anonymous
  • anonymous
plug 49 into m(s)
anonymous
  • anonymous
i got 30.025 is that correct
anonymous
  • anonymous
-60.025+120.05-30=30.025??
anonymous
  • anonymous
30.025 is correct
anonymous
  • anonymous
i typed it in and i keeps saying its incorrect..i have online school, so if i round that to the nearest tenth, would it be 30
anonymous
  • anonymous
30.025 to the nearest tenth is 30.0
anonymous
  • anonymous
oh i understand i jus typed in 30 instead of 30.0..thanks for your help

Looking for something else?

Not the answer you are looking for? Search for more explanations.