Answer:
The system of linear inequalities to represent the graph is:
(1) y<=6 and
(2) y>=x
Step-by-step explanation:
The graph is:
1) The region below the horizontal line y=6: y<=6
2) The region above the oblique line that passes through the points:
Origin: O=(0,0)→P1=(0,0)=(x1,y1)→x1=0, y1=0
P2=(5,5)=(x2,y2)→x2=5, y2=5
Slope: m=(y2-y1)/(x2-x1)
m=(5-0)/(5-0)
m=(5)/(5)
m=1
Equation Point-slope:
y-y1=m(x-x1)
y-0=1(x-0)
y=1(x)
y=x
Above the line y=x: y>=x
Then the system of linear inequalities to represent the graph is:
(1) y<=6 and
(2) y>=x
Answer:
C = 89.5
Step-by-step explanation:
If we're finding the minimum based on the selected equation from above, we can set the two sides together and solve for C.
105 + 10C = 1000
Subtract 105 from both sides
10C = 895
Divide both sides by 10
C = 89.5
Answer:
2.03
Step-by-step explanation:
Convert 3 1/2 to a decimal, which is 3.5. Then, multiply it by 0.58. This gives us 2.03.
Answer:
It has a slope of 1 with a y-intercept of -4.
Step-by-step explanation:
Since the line is going in its upward direction, its rate of change has to be positive 1. In addition, the y-intercept is 4 because that is where it crosses the y-axes. The x-intercept is -4, not the y-intercept.
Okay, you ordered $23.91 worth of food and $9.27 worth of drinks. Add them and you get $33.18. Since the sales tax rate is 6%, this means that it is $1.99. Adding the tax to your meal would leave a total cost of $35.18. Have a great day!