Answer:
2 of these numbers are divisible by 4 and 5.
20 and 60 are divisible by 4 and 5.
Step-by-step explanation:
20 is divisible by 4 and 5.
Divisible just means that the 4 (also the 5) goes into 20 evenly, with no remainder.
4 goes into 20 evenly with no remainder.
5 goes into 20 evenly with no remainder.
4 does not go into 35 evenly with no remainder.
35 ÷ 4 is 8 with a remainder of 3.
35 ÷ 4 = 8.75
5 does go into 35. 35 is divisible by 5.
35 is not divisible by 4.
60 is divisible by 4
60 ÷ 4 = 15 (no remainder, no extra decimals if you do it on a calculator)
60 ÷ 5 = 12 (no remainder, no extra decimals if you do it on a calculator)
60 is divisible by 4 and also by 5.
3x−2y=12;−3x+8y=−6
Step: Solve3x−2y=12for x:
3x−2y=12
3x−2y+2y=12+2y(Add 2y to both sides)
3x=2y+12
3x
3
=
2y+12
3
(Divide both sides by 3)
x=
2
3
y+4
Step: Substitute
2
3
y+4forxin−3x+8y=−6:
−3x+8y=−6
−3(
2
3
y+4)+8y=−6
6y−12=−6(Simplify both sides of the equation)
6y−12+12=−6+12(Add 12 to both sides)
6y=6
6y
6
=
6
6
(Divide both sides by 6)
y=1
Step: Substitute1foryinx=
2
3
y+4:
x=
2
3
y+4
x=
2
3
(1)+4
x=
14
3
(Simplify both sides of the equation)
Answer:
x=
14
3
and y=1
Option 3 is the correct answer
Answer:
The relative maximum value is 
Step-by-step explanation:
The given function is
We differentiate to obtain;
At turning points 
We apply the second derivative test to obtain:
Since the second derivative is negative, there is a relative maximum at x=0.
We substitute x=0 into the original function to obtain the relative maximum value.
