12y = x + 23
Step-by-step explanation:
- y = −12x + 5
- Perpendicular slopes are opposite reciprocals.
- The original slope is −12
- So the new perpendicular slope is 1/12.
- We plug the point (1, 2) and the slope m = 1/12 into the slope intercept form of the equation y = mx + b
y = mx + b
2 = 1/12 * 1 + b
2 = 1/12 + b
b = 23/12
- When we simplify this, we arrive at 12y = x + 23
6x - 5 = 3x + 1
-3x -3x
————————
3x - 5 = 1
+ 5 + 5
————————
3x = 6
—— —
3 3
x = 2
Joe is 2 years old.
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Check
6(2) - 5 = 3(2) + 1
12 - 5 = 6 + 1
✔️
7 = 7
Answer:
Step-by-step explanation:
Answer:
B. f(x) domain: x ≥ 1; f⁻¹(x) range: y ≥ 1
Step-by-step explanation:
The <em>domain</em> of a function is identical to the <em>range</em> of its inverse. This is reflected in choices B and D. However, f(x) is undefined for x < 1, so it makes no sense to restrict its domain to x ≤ -2, as in choice D.
The appropriate response is ...
B.
- f(x) domain: x ≥ 1
- f⁻¹(x) range: y ≥ 1
6x + 6 > 3x+ 15
3x > 9
x > 3
