Decide which story can be represented by the system of equations y = x + 6 and
x + y = 100. explain your reasoning.
a. diego's teacher writes a test worth 100 points. there are 6 more multiple
choice questions than short answer questions.
b. lin and her younger cousin measure their heights. they notice that lin is 6
inches taller, and their heights add up to exactly 100 inches.

Option A and Option B are correct answers.

Step-by-step explanation:

Option a: Diego's teacher writes a test worth 100 points. There are 6 more multiple choice questions than short answer questions.

Reason:

Let x denote the multiple choice questions.

Let y denote the short answer questions.

It is given that there are 6 more multiple choice questions than short answer questions and writing it as equations,

Also, given that Diego's teacher writes a test worth 100 points and writing it as equations,

Option b: Lin and her younger cousin measure their heights. They notice that Lin is 6 inches taller, and their heights add up to exactly 100 inches.

Reason:

Lin is represented by the variable y.

Her younger cousin is represented by the variable x.

It is given that Lin is 6 inches taller and writing it as equation, we get,

Also, given that their heights add up to exactly 100 inches and thus, writing it as equation, we get,

Thus, Option a and Option b represent the same system of equations. Hence, both story can be represented by the system of equations.

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!

step-by-step explanation: