Answer:
5.92
Step-by-step explanation:
16*37=
592
put the decimals in next
Answer: The length of segment GT is 6
Step-by-step explanation: Have a nice day!✌️
Given:
Vertex ===> (h, k) (2, 4)
The parabola passes through the point: (x, y) ==> (3, 6)
Let's find the equation of a parabola.
To find the equation, use the general equation of a parabola with vertex (h, k):
![y=a(x-h)^2+k_{}](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E2%2Bk_%7B%7D)
Where:
(h, k) ==> (2, 4)
(x, y) ==> (3, 6)
Substitute values into the general equation:
![\begin{gathered} 6=a(3-2)^2+4 \\ \\ 6=a(1)^2+4 \\ \\ 6=a+4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%206%3Da%283-2%29%5E2%2B4%20%5C%5C%20%20%5C%5C%206%3Da%281%29%5E2%2B4%20%5C%5C%20%20%5C%5C%206%3Da%2B4%20%5Cend%7Bgathered%7D)
Subtract 4 from both sides:
![\begin{gathered} 6-4=a+4-4 \\ \\ 2=a \\ \\ a=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%206-4%3Da%2B4-4%20%5C%5C%20%20%5C%5C%202%3Da%20%5C%5C%20%20%5C%5C%20a%3D2%20%5Cend%7Bgathered%7D)
Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:
![y=2(x-2)^2+4](https://tex.z-dn.net/?f=y%3D2%28x-2%29%5E2%2B4)
Therefore, the equation of the parabola is:
![y=2(x-2)^2+4](https://tex.z-dn.net/?f=y%3D2%28x-2%29%5E2%2B4)
ANSWER:
Let x be the number of CDs we buy and y the number of CDs we sell.
Each CD sell for $1.5, then the total of money we earn is $1.5y.
Each CD bought for $5, then the total money spent is $-5x
Add the above values like this:
1.5y-5x
We have $20, add them like this:
1.5y-5x+20
Since we want to have<span> at least $10 left when you leave the store, then
we deduce the equation:
</span>
Answer:
- 2
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [a, b ] is
![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Here [a, b ] = [1, 8 ], thus
f(b) = f(8) = - 8² + 7(8) + 14 = - 64 + 56 + 14 = 6
f(a) = f(1) = - 1² + 7(1) + 14 = - 1 + 7 + 14 = 20
average rate of change =
=
= - 2