Answer: Second Option
and
Step-by-step explanation:
If we have a function f(x) and its inverse function
Then by definition:
Notice that the inverse of the function is
then:
If and
Then:
The answer is the second option
<h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3><h3 />
1. 99 = 33x + 3(3x + 5)
⇒99 = 33x + 9x + 15
⇒99 = 42x + 15
⇒99 - 15 = 42x
⇒84 = 42x
⇒42x = 84
⇒x = 84/42
⇒x = 2
2. 12z - (4z + 6) = 82
⇒12z - 4z - 6 = 82
⇒8z - 6 = 82
⇒8z = 82 + 6
⇒8z = 88
⇒ z = 88/8
⇒ z = 11
3. 2x + 3x = 62
⇒5x = 62
⇒ x = 62/5 or x = 12.4
4. 4n + 5 = 6n + 7
⇒4n - 6n = 7 - 5
⇒-2n = 2
⇒ n = -2/2
⇒ n = -1
5. 23m - 5 = 21m + 5
⇒23m - 21m = 5 + 5
⇒2m = 10
⇒ m = 10/2
⇒ m = 5
6. 3p - 8 = 13 - 4p
⇒3p + 4p = 13 + 8
⇒7p = 21
⇒ p = 21/7
⇒ p = 3
7. 17x - 3 + 17x + 8 = 175
⇒17x + 17x - 3 + 8 = 175
⇒34x + 5 = 175
⇒34x = 175 - 5
⇒34x = 170
⇒ x = 170/34
⇒ x = 5
8. ƒ + 41 + ƒ + 78 = 95
⇒ƒ + ƒ + 41 + 78 = 95
⇒2ƒ + 119 = 95
⇒2ƒ = 95 - 119
⇒2ƒ = -24
⇒ ƒ = -24/2
⇒ ƒ = -12
9. 3x + 18 + 93 = 180
⇒3x + 111 = 180
⇒3x = 180 - 111
⇒3x = 69
⇒ x = 69/3
⇒ x = 23
10. 6x + 2 + 40 = 90
⇒6x + 42 = 90
⇒6x = 90 - 42
⇒6x = 48
⇒ x = 48/6
⇒ x = 8
11. k + 37 + k + 67 + 90 = 180
⇒k + k + 37 + 67 + 90 = 180
⇒2k + 104 + 90 = 180
⇒2k + 194 = 180
⇒2k = 180 - 194
⇒2k = -14
⇒ k = -14/2
⇒ k = -7
12. 3w - 6 + 8w + 4 + 50 = 180
⇒3w + 8w - 6 + 4 + 50 = 180
⇒11w - 6 + 54 = 180
⇒11w + 48 = 180
⇒11w = 180 - 48
⇒11w = 132
⇒ w = 132/11
⇒ w = 12
13. 8 + 6x = 4x + 2 + 30
⇒6x - 4x = 2 + 30 - 8
⇒2x = 32 - 8
⇒2x = 24
⇒ x = 24/2
⇒ x = 12
14. 46 + 8h - 1 = 18h + 5
⇒ 46 - 1 - 5 = 18h - 8h
⇒ 46 - 6 = 10h
⇒ 40 = 10h
⇒ 10h = 40
⇒ h = 40/10
⇒ h = 4
15. 9x - 2 + 12x - 4 = 20x + 5
⇒ 9x + 12x - 20x = 5 + 2 + 4
⇒ 21x - 20x = 11
⇒ x = 11
<h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
3(4)+6
If you were 18, you would multiply 3 by 4 and add 6 to equal 18 (your age)
Answer:
The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.
Step-by-step explanation:
The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.
Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.
The formula of a volume of a cone:
We have:
substitute:
Answer:
height = 6 cm
radius = 3 cm