Answer:
29 rungs
Step-by-step explanation:
In this question, we are to use the climbing statistics of a firefighter to determine the number of rungs a ladder have.
Firstly, since we do not know the number of rungs but we know we are starting from the middle rung, let the middle rung be r.
From the middle rung, he climbed 6 rungs, meaning he would be on rung x + 6 ! From here he came down ten rungs, meaning he would be on rung x + 6 - 10 = x -4
Now, he climbed 18 rungs again, making x -4+18 = x + 14
This is equal to the topmost rung i.e the topmost rung is at a position x + 14
This means that the ladder must have 14 rungs above the middle , 14 below it and the middle itself
14+ 14 + 1 = 29 rungs
Answer:
3/10
Step-by-step explanation:
Answer:
Options (A) and (D)
Step-by-step explanation:
We can write the given division as,

Option (A)
When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.
True.
Option (B)
When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.
False.
Option (C)
When x = 5,
2x² + 6x - 8 = 12
2(5)² + 6(5) - 8 = 50 + 30 - 8
= 72
False.
Option (D)
When x = -5,
2(-5)² + 6(-5) - 8 = 50 - 30 - 8
= 12
True.
Option (E)
(x - 5) is a factor of 2x² + 6x - 8
If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.
False.
Option (F)
(x + 5) is a factor of 2x² + 6x - 8
If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.
But the value is 12.
False.
Answer:
-30
Step-by-step explanation:
Substituting values of a and b in equation
3(-5)+2(-6)-3
-15-12-3
-15-15
-30