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

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true