<span>hello :
اthe vertex of the absolute value function defined by ƒ(x) = |x + 5| + 7 is :
</span>(-5,7) because when : x= - 5 ...f(-5) = |- 5 + 5| + 7 = 0+ 7 = 7
Answer: the boy won 10 games
Step-by-step explanation:
Let's call B as the number of games won by the boy, and F as the number of games won by the father.
We know that, there is a total of 26 games:
B + F = 26.
We know that in each game won by the boy, he wins 8 cents, for every game that the father wins, the boy losses 5 cents, and we know that at the end of the 26 games, the boy did not win or lose any money, so we have:
B*8 + F*(-5) = 0.
Then we have a system of equations:
B + F = 26
8*B - 5*F = 0.
The first step is isolating one of the variables. Let's start isolating F in the first equation:
B + F = 26
F = 26 - B.
Now we can replace this in the second equation:
8*B - 5*F = 0
8*B - 5*(26 - B) = 0
8*B + 5*B - 5*26 = 0
13*B = 5*26
B = 5*26/13 = 5*2 = 10
So the boy won 10 games (then the father won the other 16 games)
Yes they just have the same amount of decimal points
Answer:
111.2
Step-by-step explanation:
The square root and the ^2 cancel each other out so the number stays the same or 111.2
To solve this, we are going to set up a simple rule of three: If 20% are 48 cars, 100% how many cars will be:
Now, we can express this as a proportion ans solve for
:
We can conclude that there are 240 cars in the parking lot.
