Laura takes very good care of her vehicles. She owns a blue van and a red truck. Although she bought them both new, she has owned the truck for 17 years longer than she has owned the van. If the sum of the ages of the vehicles is 41 years, how old is the van and how old is the truck?

Let us assume the number of years Laura has owned the van = S years

So, according to the question:

The number of years she has owned truck = S + 17 years

Now, Sum of the age of ( Truck + Van) = 41 years

⇒ (S + 17 years) + (S years) = 41 years

or, 2 S + 17 = 41

or, 2 S = 4 1 -1 7 = 24

or, S = 24/2 = 12 years

or, S = 12 years

Hence the age of the van owned = 12 years

The age of the truck owned = S + 17 = 12 + 17 = 29 years

6 0

3 years ago

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2?

Aliun [14]

Answer:

The last choice is the one you want

Step-by-step explanation:

First of all, a parabola has a minimum value if it is a positive parabola, one that opens upward. The first and the third parabolas are negative so they open upside down. That leaves us with choices 2 and 4. We find the side to side and up or down movement by finishing the completion of the square that has already been started for us. Do this by factoring what's inside the parenthesis into a perfect square binomial.

The second one factored becomes:

$g(x)=4(x-3)^2+1$