Matteo has &400 in his saving account. on average he spends $10 per week on buying apps. Luca has $200 in his savings account. he is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?

8 weeks

Step-by-step explanation:

Given data

Matteo

Amount= $400

Spending per week= $10

Hence his balance after x weeks is given as

y=400-10x1

Luca

Amount= $200

Spending per week= $15

Hence his balance after x weeks is given as

y=200+15x2

Equate 1 and 2

400-10x=200+15x

collect like terms

400-200=15x+10x

200=25x

x= 200/25

x= 8 weeks

Hence it will take 8 weeks

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19