Y=mx+b
-b -b
--------------
-by= mx
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m m
-by
------
m
Answer:
(2,-3)
Step-by-step explanation:
When you reflect over the x-axis, you leave the x-axis the same and the y-axis is the opposite of that number. It is the same thing with the y-axis, but the x-axis is the opposite of that number.
Answer:
- 4 and 3
Step-by-step explanation:
Given
f(n) = 7n - 11
To evaluate f(1) and f(2) substitute n = 1 and n = 2 into f(n), that is
f(1) = 7(1) - 11 = 7 - 11 = - 4
f(2) = 7(2) - 11 = 14 - 11 = 3
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:
(x, y) = (-1, 6)
Step-by-step explanation:
y = 2x + 8
y = 5 - x
Substituting the second equation into the first equation, we get:
5 - x = 2x + 8
5 = 3x + 8
-3 = 3x
x = -1.
So, y = 5 - (-1).
Simplifying, we get:
y = 6.
