Someone help, please this is due today, and its delta math if someone can help me

52.48x ≤ 288.64

x≤5.5, x=5

Step-by-step explanation:

First off, we must find out how much money he has available after buying the bike, reflectors and gloves:

Total spent = (price of bike)+3(price of reflectors)+(price of gloves)

=233.09+3(16.38)+29.13

=311.36

600-311.36=288.64, so he has $288.64 left to spend on outfits.

The cost of x amount of outfits is found by multiplying the amount of outfits, x, by the cost per outfit, 52.48: 52.48x. Since he can only spend up to $288.64, 52.48x must be less than or equal 288.64:

52.48x ≤ 288.64

To solve, divide both sides by 52.48:

x≤5.5

(Since he cant buy half of a product, x's maximum value is 5)

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3