Answer: -133
Step-by-step explanation:
1. 4(-6^2+3)-2(1/2)
v
2. 4(-36+3)-2(1/2)
v
3. 4(-33)-2(1/2)
v v
4. -132-1
v
5. -133
Answer:
12) B --> x < 8/3
13) B --> x ≤ 1/6
Step-by-step explanation:
12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:
x - 10 < 6 - 5x
Add 5x to both sides to combine the x terms:
x - 10 < 6 - 5x
+5x +5x
6x - 10 < 6
Add 10 to both sides to isolate the x term:
6x - 10 < 6
+10 +10
6x < 16
Now, divide by 6 on both sides:
x < 8/3, this is B
13) Simplify 2 - 4:
2-3(2x + 1) ≤ 6x(-2)
Distribute:
2 - 6x - 3 ≤ -12x
Add 12x to both sides and combine like terms:
6x - 1 ≤ 0
Add 1 to both sides:
6x ≤ 1
Divide by 6:
x ≤ 1/6, this is B
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It is the slope
b: It is the cut point with the y axis
We have the following equation:
Thus, the cut point with the y axis is -8. Therefore, we discard options C and B.
It is observed that the slope is positive so the correct graph is option B.
Answer:
Option B
525/1000 = 105/200 = 21/40