Answer:
m < 4
Step-by-step explanation:
Given
2m + 6 > 7(m - 2) ← distribute
2m + 6 > 7m - 14 ( subtract 2m from both sides )
6 > 5m - 14 ( add 14 to both sides )
20 > 5m ( divide both sides by 5 )
4 > m , thus
m < 4
Answer:
h(x) ≤ 5
Step-by-step explanation:
The function and boundaries given are;
h(x) = x + 2, x < 3
And ;
h(x) = -x + 8, x ≥ 3
Now,in the first condition, the maximum value of x will be 2. This means the maximum value of h(x) there is;
h(2) = 2 + 2 = 4
For the second condition, x ≥ 3. Thus, the maximum value of x is 3.
This means that the maximum value of h(x) here is;
h(3) = -3 + 8 = 5
Foe the 2 conditions combined it is clear that the maximum value of h(x) is 5.
Thus,we can say; h(x) ≤ 5
Answer:
The meet at first time at starting point after 336 seconds,
Vanu have completed 7 laps while Tanuj has completed 6 laps.
Step-by-step explanation:
Given that Venu and Tanuj take 48 seconds and 56 seconds to
complete a lap respectively.
To meet them again at the startiong point, the time taken must be multiple of 56 and 48.
So, the minimum time required to meet them again at the startiong point is time taken for first time meet.
Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.
Number of laps by Venu

Number of laps by Tanuj

Answer:
$184
Step-by-step explanation:
$14.50 × 12 months = $174
$174 + $10 = $184