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
Answer:
D) < 3, 7)>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given that the vector < 3 , -7 >
Given the vector reflection across the x-axis
(x,y) → (x , -y)
The vector < 3,-7> →< 3, -(-7)>
< 3,-7> →< 3, 7)>
( y1 - y2 ) / ( x1 - x2 )
In this case, I calculated it to be 12/10, or 6/5
Next, we choose a point to use in our formula. I'll use point E since it does not have any negative signs.
The final slope-intercept equation is then:
y - 8 = 6/5 * ( x - 4 )
Answer:
-13/40 or -0.325
Step-by-step explanation:
