Answer:
The fourth graph will be the solution.
Step-by-step explanation:
The system of linear inequalities are
- 3x - 3y < - 3, ⇒ x + y > 1
And y ≤ -x + 1, ⇒ x + y ≤ 1
There is no solution for those two inequalities because there are no values of x and y that can satisfy both the equations.
Now, the fourth graph will be the solution as there is no shaded region for the solution in the graph and also the line x + y = 1 is plotted as a dotted line that means the solution does not include the line also. (Answer)
The line of reflection that would map ABCD onto itself is the line y = x + 3
<h3>What is a transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, rotation, reflection and dilation.</em>
Dilation is the increase or decrease in the size of a figure.
The equation of the line passing through A(-3, 0) and C(-1, 2) is:
y-0 = [(2-0)/(-1-(-3))](x - (-3)]
y = x + 3
The line of reflection that would map ABCD onto itself is the line passing through AC which is y = x + 3
Find out more on transformation at: brainly.com/question/4289712
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<em><u>The cost of production equation is:</u></em>
C = 10n + 20000
<em><u>Solution:</u></em>
<em><u>The equation representing the cost, C, of producing n tires at Royal Tires Co. can be written as:</u></em>
C = mn + f
Where,
C = cost
n = number of tires
f = company's fixed cost
<em><u>It costs $30,000 to produce 1,000 tires while it costs $50,000 to produce 3,000 tires</u></em>
Therefore,
30, 000 = m(1000) + f
50, 000 = m(3000) + f
Which is,
1000m + f = 30000 ------- eqn 1
3000m + f = 50000 ------- eqn 2
Subtract eqn 1 from eqn 2
3000m + f = 50000
1000m + f = 30000
( - ) -------------------
2000m = 20,000
m = 10
Substitute m = 10 in eqn 1
1000(10) + f = 30000
f = 30000 - 10000
f = 20,000
Thus the equation is:
C = 10n + 20000
Answer:
(
+
1
)
(
+
9
)
Step-by-step explanation:
