Answer:
x = -1
Step-by-step explanation:
The easiest way is just to find the antiderivative and graph. The antiderivative is 
. Graphing this with any C shows that 
is the relative minimum.
Answer:
z is 111 degrees
Step-by-step explanation:
69 ° and z is a linear pair, therefore:
69 + z = 180
z = 180 - 69
z= 111
I'm going to assume you mean:
13 * (3/4) + x = 7 * (1/4)
Let's go ahead and simplify the right side.
7 * (1/4) = 1.75
So now we have:
13 * (3/4) + x = 1.75
Now let's take care of the right side. Multiplication before addition.
13 * (3/4) = 9.75
9.75 + x = 1.75
To isolate x, we subtract 9.75 from both sides.
9.75 - 9.75 + x = 1.75 - 9.75
x = -8
Hopefully I spaced this well. \('-')/
Since the angle
100
° is in the second quadrant, the reference angle formula is A
r
=
180
°
−
A
c. A
r
=
180
°
−
100
°
The reference angle is A
r
=
80
°
.
80
°
Answer:
1) either 5 or 6 students in the group
2) 6 rooms are booked
Step-by-step explanation:
1) x students
3x + 8 = apples
5 (x-1) + y (the one get less than 5 apples)
3x + 8 = 5 (x - 1) + y
3x + 8 = 5x - 5 + y
2x + y = 13
X 1 2 3 4 5 6
Y 11 9 7 5 3 1
because y < 5 so x = 5 or x = 6
2) x rooms are booked
4x + 20 total students
8 (x-1) + y (the students in room not full))
4x + 20 = 8 (x-1) + y
4x + 20 = 8x - 8 + y
4x + y = 28
X 1 2 3 4 5 6
Y 24 20 16 12 8 4
y < 8 answer is 6 rooms
