Extraneous solutions, is answers that we get because of squaring both sides of the radical equation, but in reality, they are not going to be the solutions of the given equation.
(√(4x+41))²=(x+5)²
4x+41=x²+10x+25
x²+6x-16=0
(x-2)(x+8)=0
x1=2 , x2=-8,
And now we must to check them by substitution into initial equation
√(4x+41)=x+5
1) x=2, √(4*2+41)=2+5, √49=7, 7=7 true
2) x=-8, √(4*(-8)+41)=-8+5, √9 =-3 false,
so an extraneous solution x=-8
Answer: 
Step-by-step explanation:
You can see that all numbers greater than and equal to 5 are highlighted on the number line
Therefore, the inequality is:
Answer:
2.75
Step-by-step explanation:
Here, we want to find which part of the formula corresponds to the cost of movie tickets in 1980
The expression to find the cost is
2.75 + 0.10x
Now, x is the time since 1980
1980 is thus the starting position. The value of x at this point is 0, we simply thus make a substitution;
2.75 + 0.1(0)
=
2.75
Answer:
X on the graph represents horizontal distance, the x intercept represents when he ends his dive and lands in the water. The x intercept = 8 meaning he is 8 feet away from the diving board when he lands in the water. The y-intercept of y = 13 means the starting point of his dive.
Good luck! :)
Credits: Xin for part A
