Comment: I think you got this in the wrong section but I’ll still answer it anyways.
Actual Answer: system of checks and balances
Step-by-step explanation: A system of checks and balances stops one branch of government from becoming too powerful.
Additional Note: I hope that this helps you and have a wonderful day!
Answer:
1)The rocket hit the ground at ![x = \frac{5}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%7D%7B4%7D)
2)The maximum height of the rocket = 12.468 feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given equation
y = -2 x² + 5 x + 7 ...(i)
Differentiating equation (i) with respective to 'x' , we get
![\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20-2%28%202x%29%20%2B5%281%29%20%3D%20%20-4x%20%2B5)
Equating zero
![\frac{dy}{dx} = 0](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%200)
⇒ -4 x +5 =0
⇒ -4 x = -5
⇒
<em> The rocket hit the ground at </em>
<em></em>
<u><em>Step(ii):</em></u>-
...(ii)
Again differentiating equation (ii) with respective to 'x' , we get
![\frac{d^{2} y}{dx^{2} } = - 4(1)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5E%7B2%7D%20y%7D%7Bdx%5E%7B2%7D%20%7D%20%20%3D%20-%204%281%29%20%3C0)
The maximum height at x = ![\frac{-5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%7D%7B4%7D)
y = -2 x² + 5 x + 7
![y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7](https://tex.z-dn.net/?f=y%20%3D%20-2%20%28%5Cfrac%7B5%7D%7B4%7D%29%5E%7B2%7D%20%20%2B%205%20%28%5Cfrac%7B5%7D%7B4%7D%20%29%20%20%2B%207)
![y = \frac{-2(25)+ 25 (16)+7(64)}{64}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-2%2825%29%2B%2025%20%2816%29%2B7%2864%29%7D%7B64%7D)
![y = \frac{798}{64} = 12.468 feet](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B798%7D%7B64%7D%20%3D%2012.468%20feet)
<em>The maximum height of the rocket = 12.468 feet</em>
Answer:
Solution
verified
Verified by Toppr
m
2
−3m−1=0
m
2
−3m=1 → (1)
Third term =(
2
1
coeeficientofm)
2
(
2
1
×(−3))
2
=(
2
−3
)
2
=
4
9
Adding
4
9
to both sides of equation (1), we get
m
2
−3m+
4
9
=1+
4
9
∴ m
2
−3m+
4
9
=
4
4+9
∴ (m−
2
3
)
2
=
4
13
Taking square roots on both sides
∴ m−
2
3
=±
2
13
∴ m=
2
3
+
2
13
or m=
2
3
−
2
13
m=
2
3+
13
,
2
3−
13
are the roots of the given quadratic equation.
Answer:
I need more info but if your wondering how much each notebook cost the answer is
Step-by-step explanation:
So first we have to divide 28/8 beacuse thats how many over how much.
When we do it it becomes 3.5. Now this is our number but we must add a zero to the end, so now it $3.50. $3.50 for each notebook!
Hope this helps you, :3
Please consiter <3 me it helps me out a lot!
Answer:
slope(m)=(-33/2)
Step-by-step explanation: