The equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25
Let x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant.
Since he earn at least $275.00 a week, hence:
12x + 9.5y ≥ 275 (1)
Also, he can work no more than 25 hours, hence:
x + y ≤ 25 (2)
Therefore the equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25
Find out more at: brainly.com/question/25285332
Answer:
width = 2 units
Step-by-step explanation:
If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.
the area of a rectangle is length * width
so just substitute the values that we have now.
x (length) * (x-4) width = 12 (area of rectangle)
so that gives us
x^2 - 4x =12
subtract 12 from both sides
x^2 - 4x - 12 =0
now factor this equation
x^2 + 2x - 6x -12 = 0
x(x+2) - 6(x+2) = 0
(x-6)(x+2) = 0
x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE
length = 6, and width = 6 -4 = 2
Answer:
and
in interval notation.
Step-by-step explanation:
We have been given a compound inequality
. We are supposed to find the solution of our given inequality.
First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.



Dividing by negative number, flip the inequality sign:





Dividing by negative number, flip the inequality sign:


Upon merging both intervals, we will get:

Therefore, the solution for our given inequality would be
and
in interval notation.
Y-5=3-9 (y+2)
Solve for y
Distribute the 9 to (y+2)
Y-5=3-9y-18
Y-5=-15-9y
+9y to both sides
10y-5=-15
+5 to both sides
10y=-10
÷10 both sides
Y= -1
2 (x-7)-10=12-4x
Solve for X
Distribute 2 to (x-7)
2x-14-10=12-4x
2x-24=12-4x
+4x to both sides
6x-24=12
+24 to both sides
6x=36
÷6 to both sides
X=6