Answer:
x^2 - 10x + 29
Step-by-step explanation:
f(g(x)) = (x-5)^2 + 4
= x^2 - 10x + 25 + 4
= x^2 - 10x + 29
First, we must determine the slope of the line. The slope can be found by using the formula:
m
=
y
2
−
y
1
x
2
−
x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values from the points in the problem gives:
m
=
−
3
−
5
−
3
−
5
=
−
8
−
8
=
1
Next, we can use the point-slope formula to get an equation for the line. The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope we calculated and the first point from the problem gives:
(
y
−
5
)
=
1
(
x
−
5
)
The standard form of a linear equation is:
A
x
+
B
y
=
C
Where, if at all possible,
A
,
B
, and
C
are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
We can now transform the equation we wrote to standard form as follows:
y
−
5
=
x
−
5
−
x
+
y
−
5
+
5
=
−
x
+
x
−
5
+
5
−
x
+
y
−
0
=
0
−
0
−
x
+
y
=
0
−
1
(
−
x
+
y
)
=
−
1
⋅
0
x
−
y
=
0
1
x
+
−
1
y
=
0
Start by multiplying the amount of passengers by 2 (for amount of meals)
524×2= 1,048
That will equal to 1,048, which is the amount of meals given out for a full plane in one day.
Now multiply that by 7 (for one week) and you'll get your answer!
524×2= 1, 028 × 7 = 7, 336 meals
7, 336 meals are given out in a one week time span on a fully packed plane.
D. 48 she must rent 48 in order to receive the cash prize
5- 1+x
Y-2-3
If that not the answer then
1+x <5
Y-2<3
