Step-by-step explanation:
s = -4.9t² + 49t
The vertex of the parabola is at t = -b/(2a).
t = -49 / (2 × -4.9)
t = 5
The rocket reaches its maximum height after 5 seconds.
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>
<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>
<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>
<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>
<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>
<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>
<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>
<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>
<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>
<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>
<span>Or, if you prefer, (3, 0), (-5, 0). </span>
Answer:
18/30=3/5
Step-by-step explanation:
Answer:
Total donation by Alonzo's mother = $40.
Step-by-step explanation:
Complete Question.
Alonzo will participate in a charity walkathon.Her Mother will donate $10 for Alonzo participation plus and additional $2 for each mile that Alonzo walks.
If Alonzo walks 15 miles, What will be the amount of her mother’s donation?
Alonzo's mum donates $10 for participation and an additional $2 per mile.
Alonzo walks 15 miles, this translates to an additional donation of (15×$2) = $30
Total donation by Alonzo's mother = $10 + $30 = $40.
Hope this Helps!!!
Answer:
6y^2+7
Step-by-step explanation:
when you put in the two for y you get tour answer. i tried to simplify it down to the simplest form.
