Answer:
√1 1
√4 2
√9 3
√16 4
√25 5
√36 6
√49 7
√64 8
√81 9
√100 10
√121 11
√144 12
√169 13
Step-by-step explanation:
First compute the function g:
![g(x)=f(x-h)+k\\=(-2(x-h)+7)+k\\=-2x+(2h+k+7)](https://tex.z-dn.net/?f=g%28x%29%3Df%28x-h%29%2Bk%5C%5C%3D%28-2%28x-h%29%2B7%29%2Bk%5C%5C%3D-2x%2B%282h%2Bk%2B7%29)
Now consider the following equation:
![2h+k=9](https://tex.z-dn.net/?f=2h%2Bk%3D9)
The couple
![(4,1)](https://tex.z-dn.net/?f=%284%2C1%29)
is a solution of the equation. Check that:
![2\times4+1=8+1=9](https://tex.z-dn.net/?f=2%5Ctimes4%2B1%3D8%2B1%3D9)
.
So the correct answer is
![h=4,k=1](https://tex.z-dn.net/?f=h%3D4%2Ck%3D1)
.
Answer:
y km = (x+2)y km
Step-by-step explanation:
Given that,
A car covers (x+2) kilometre in 1 litre.
We need to find the distance it will cover in y litres.
1 litre = (x+2) km
y km = (x+2)y km
Hence, it will cover (x+2)y km in y litres.
Answer:
The correct option is D. The interest is about 8%.
Step-by-step explanation:
The amount of money in a bank account that is compounded yearly can be represented by the function
![A(y)=P(1+r)^y](https://tex.z-dn.net/?f=A%28y%29%3DP%281%2Br%29%5Ey)
Where P is the amount initially deposited, r is the annual interest rate expressed as a decimal, and y is the number of years that have passed since the initial deposit.
The initial amount is $2700, numbers of years is 14 and the amount after 14 years is $7930.42.
![7930.42=2700(1+r)^{14}](https://tex.z-dn.net/?f=7930.42%3D2700%281%2Br%29%5E%7B14%7D)
![2.937=(1+r)^{14}](https://tex.z-dn.net/?f=2.937%3D%281%2Br%29%5E%7B14%7D)
Taking log both sides.
![(loga^b=bloga)](https://tex.z-dn.net/?f=%28loga%5Eb%3Dbloga%29)
![0.4679=14log(1+r)](https://tex.z-dn.net/?f=0.4679%3D14log%281%2Br%29)
![0.033422=log(1+r)](https://tex.z-dn.net/?f=0.033422%3Dlog%281%2Br%29)
![10^{0.033422}=10^{log(1+r)}](https://tex.z-dn.net/?f=10%5E%7B0.033422%7D%3D10%5E%7Blog%281%2Br%29%7D)
![0.079999=r](https://tex.z-dn.net/?f=0.079999%3Dr)
![r\approx 0.08](https://tex.z-dn.net/?f=r%5Capprox%200.08)
Therefore the correct option is D. The interest is about 8%.