Matt is five years older than twice his cousin andy’s age. the sum of their ages is less than 35.

let x represent andy's age.

which inequality represents andy’s possible age?

a.) 0< x≤25, b.) 0< x< 25, c.) 0< x< 10, d.)0< x≤10

i think it's c, am i correct?

Answer : 0<x<10

Matt is five years older than twice his cousin Andy’s age. The sum of their ages is less than 35.

Let x represent Andy's age and y represents Matt's age

Matt's age = 2*Andy's age + 5

y = 2x +5 > first equation

The sum of their ages is less than 35.

So x + y < 35

Replace y by 2x+5

x + y < 35

x + 2x + 5 < 35

3x + 5 < 35 ( subtract 5 on both sides)

3x < 30 ( divide by 3 on both sides)

x < 30

age cannot be negative . so we take x from 0 to 30

Andy’s possible age is 0<x<10

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!