Michael has $1,089.17 in his checking account. He is going to spend $525.20 on a new television and spend the rest on speakers that cost $49.00 each. Which of the following inequalities would determine the maximum number of speakers (y) Michael can buy without spending more money than is in his account? A.$525.20 + $49.00(y) < $1,089.17
B. $1,089.17 + $525.20 > $49.00 + y
C. $525.20 < $49.00(y) + $1,089.17
D. $525.20 + $49.00 + y < $1,089.17

525.20 + 49 y ≤1089.17

Step-by-step explanation:

The cost of the tv plus the cost of the speakers times the number of speakers must be less than or equal to the amount in the account

525.20 + 49 y ≤1089.17

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,