ANSWER
The solution is where the two graphs intersect, which is

EXPLANATION
The given system of equations are

and

We need to graph the two equations.
Let us graph

first.
We need at least two points.
You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.
When




So this gives us the ordered pair,

When

we get,




This also gives the ordered pair

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.
For the second line

We again find the intercepts and plot them.
When



This gives the ordered pair

Also, when

then we have,



Then we again have the ordered pair,

We plot these two points on the same graph sheet to obtain the red graph above.
The intersection of the two lines is

You will get good grades so don't worry much.
<h3>
Answer: Choice C</h3>
Why isn't choice C a function? It's because we have the input x = 4 lead to more than one output at the same time (y = 5 and y = -5). A function must have all allowed inputs lead to exactly one output.
The diagram for choice C shows we have the points (4,5) and (4,-5). If we plotted those two points, then a vertical line forms, which will show this relation fails the vertical line test.
Choices A, B, and D do not have this happen where a certain input leads to multiple outputs at once; therefore, these are all functions. For the tables A and D, note there aren't any repeated x values. If you were to convert choice C into table form, then you would have the x value 4 repeat itself.
Answer:
(a) Dahl Motors = 8 Cars
Farthington Auto Sales = 7 Cars
(b) Roger will purchase from Farthington Auto Sales with higher weekly profit
Step-by-step explanation:
Dahl Motors / Week
(1) Car Sold 5 6 7 8 9 10 11 12
(2) Probability 5% 9% 14% 24% 18% 14% 11% 5%
(3) (2 x 3 ) 0.25 0.54 0.98 1.92 1.62 1.40 1.21 0.60
(4) Average sales = 0.25 + 0.54 + 0.98 + 1.92 + 1.62 + 1.40 + 1.21+0.60
= 8.52 cars/ week
= 8 cars /week
Profit/ Car = $544
Total weekly profit = 544 x 8
= $4,352
Farthington Auto Sales/ Week
(1) Car Sold 5 6 7 8 9 10
(2) Probability 8% 21% 31% 24% 10% 6%
(3) (2 x 3 ) 0.40 1.26 2.17 1.92 0.9 0.6
(4) Average sales = 0.40 + 1.26 + 2.17 + 1.92 + 0.90 + 0.60
= 7.25 cars/ week
= 7 cars/week
Profit/ Car = $651
Total weekly profit = 651 x 7
= $4,557
From the calculations above , Roger will purchase from Farthington Auto Sales
Answer:
about 37.7 feet
Step-by-step explanation:
If the outside wheels are turning twice as fast, they go twice the distance in the same time. The distance they travel is proportional to the radius of the circle, so the outside circle must have twice the radius of the inside circle.
Adding 6 ft to the radius of the inside circle doubles the radius, so the inside circle's radius must be 6 feet. Then the circumference of the inside circle is ...
C = 2πr = 2π(6 ft) = 12π ft ≈ 37.7 ft
Answer:
I believe its B, sorry if im wrong
Step-by-step explanation: