M(x)=−(x−5) 2 +25m, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 5, right parenthesis, squ
Aleksandr [31]
Answer:
25
Step-by-step explanation:
Given the function that represents the amount of mosquitoes as;
M(x) = -(x-5)² + 25
To get the maximum mosquitoes possible, we need to first find x;
At the maximum dM/dx = 0
dM//dx = -2(x-5)
0 = -2(x-5)
-2(x-5) = 0
-2x + 10 = 0
-2x = -10
x = 10/2
x = 5
Substitute x = 5 into the function;
M(5) = −(5−5)² +25
M(5) = 0+25
M(5) = 25
Hence the maximum number of mosquitoes is 25
Answer: 5 multiples of 9
Step-by-step explanation:
First take the difference between 100 and 60.
100-60=40
Then divide the difference by 9.
40/9=4.44
4.44 rounded up is 5 ==> 5 multiples of 9
Primero toma la diferencia entre 100 y 60.
100-60=40
Luego divide la diferencia entre 9.
40/9=4,44
4.44 redondeado es 5 ==> 5 múltiplos de 9
There are ⌊ 999 6 ⌋ − ⌊ 99 6 ⌋ numbers between 100 and 999 (i.e. three digit numbers) which are divisible by six.
Answer:
6
Step-by-step explanation:
46+4x=-6+76
46+4x=70
4x=24
x=6