Answer:
The solution of the inequality required for the situation is d ≥ $13.46.
Step-by-step explanation:
i) the minimum deposit is $10.
ii) the balance before the statement is $-3.46
iii) a deposit d is made so that the fee did not have to be made
iv) therefore d + (-3.46) ≥ 10
d - 3.46 ≥ 10
therefore d ≥ 10 + 3.46
therefore d ≥ $13.46
Let us pretend x is the number.
The equation will be 13-6x=11+4x.
Solve.......
X=2/10
To answer this question, we need to find the winning probability in either case.
Probability = no. of outcomes / total no. of possible outcomes
<u>When Hope pulled her defender :</u>
Total no. of games = 9
No. of games won = 3
Winning probability = 3/9 =1/3
<u>When Hope left her defender :</u>
Total no. of games = 10
No. of games won = 6
Winning probability = 6/10 = 3/5
We know that , 1/3 < 3/5.
So, Hope should not pull her defender, as the winning probability is better when Hope left her defender.
Answer : A. Hope should not pull her defender.
Answer:
Its -15 (B.)
Step-by-step explanation:
Just took the test and trying to help you out love.
Answer:
the inverse of the quadratic function
is ![\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%5E%7B-1%7D%28x%29%3D%5Cpm%20%5Csqrt%7Bx%2B3%7D%7D)
Step-by-step explanation:
We need to find inverse of the quadratic function
Let
![y=x^2-3](https://tex.z-dn.net/?f=y%3Dx%5E2-3)
Replace x and y
![x=y^2-3](https://tex.z-dn.net/?f=x%3Dy%5E2-3)
Now, we will solve for y
Adding 3 on both sides
![x+3=y^2-3+3](https://tex.z-dn.net/?f=x%2B3%3Dy%5E2-3%2B3)
![x+3=y^2](https://tex.z-dn.net/?f=x%2B3%3Dy%5E2)
Taking square root on both sides
![\sqrt{y^2}=\sqrt{x+3}\\y=\pm \sqrt{x+3}](https://tex.z-dn.net/?f=%5Csqrt%7By%5E2%7D%3D%5Csqrt%7Bx%2B3%7D%5C%5Cy%3D%5Cpm%20%5Csqrt%7Bx%2B3%7D)
Now replace y with ![f^{-1}(x)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29)
![f^{-1}(x)=\pm \sqrt{x+3}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cpm%20%5Csqrt%7Bx%2B3%7D)
So, the inverse of the quadratic function
is ![\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%5E%7B-1%7D%28x%29%3D%5Cpm%20%5Csqrt%7Bx%2B3%7D%7D)