Answer:
=
(
x
2
+
6
)
(
x
+
3
)
Step-by-step explanation:
[Grouping the first 2 terms together and the 2md 2 terms together.]
x
3
+
3
x
2
+
6
x
+
18
=
(
x
3
+
3
x
2
)
+
(
6
x
+
18
)
[Common factor]
=
x
2
(
x
+
3
)
+
6
(
x
+
3
)
{Taking the common bracket]
=
(
x
2
+
6
)
(
x
+
3
)
~Hope this helps! :)
Answer:
Step-by-step explanation:
Charges up to 20 passengers = $540 per person per day
Total charges = 540 × 20 = $10800
If x passengers above 20 sign up for the cruise then total number of passengers = (20 + x)
Total revenue = $(20+x)
But each fare is reduced by $7 for additional passenger above 20 then revenue generated R(x) = 540(20+x) - 7x
R(x) = 10800 + 540x - 7x
R(x) = 10800 + 533x
a). Revenue per day realized R = 10800 + 533x
b). R(48) = 10800 + 48×533
= $36,384
C). R(78) = 10800 + 78×543
= $53,154
Answer:
y - 5 = 4 (x - -2) or y - 5 = 4 (x + 2)
Step-by-step explanation:
Point-slope form:
y- y1 = m (x - x1 )
m = 4
x1 = -2
y1 = 5
fill in the blanks:
y - 5 = 4 (x + 2 )
Let's go through the answer choices one by one:
A. False. The line segment contains more than just the endpoints
B. False. There are points in this description that extend beyond the endpoints. If this was a line instead of a segment, then choice B would be the answer
C. True. This is the answer. Though your teacher should have added "collinear" to the sentence to make it clear that the points are between M and N, and also collinear to M and N. All of these points form the line segment MN
D. False. That would be the perpendicular bisector of MN
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So once again, the final answer is choice C
