Answer:
2x + 2
Step-by-step explanation:
6(x - 3) - 4(x - 5)
6*x - 6*3 - 4*x - 4 * -5
6x - 18 - 4x + 20
2x + 2
Answer:
A) Not mutually exclusive
Step-by-step explanation:
Given



Required
Determine if they are mutually exclusive or not
Mutually exclusive are defined by:

So, we have:

Take LCM


By comparing:
---- Calculated
---- Given
We can conclude that A and B are not mutually exclusive because:

Answer:
D) 3.28
Step-by-step explanation:
820/x=100/2.5
(820/x)*x=(100/2.5)*x - we multiply both sides of the equation by x
820=40*x - we divide both sides of the equation by (40) to get x
820/40=x
20.5=x
x=20.5
now we have:
2.5% of 820=20.5
Answer:
Given the function: y=f(x) = 3x+2
when x=-2 at the beginning of the interval [-2, 5],
then;
y = 3x+2 begins at
y= 3(-2)+2 = -6+2= -4.
and
when x=5 at the end of the interval [-2, 5],
y = 3x+2 ends up at
y= 3(5)+2 = 15+2= 17.
So,
y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21
and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7
So, the average rate of change of y with respect to x over the interval
[-2, 5] is given by ;
=
Therefore, the average rate of change y with respect to x over the interval is, 3
Step-by-step explanation:
B. 1 pint
2 cups = 1 pint
4 cups = 1 quart
16 cups = 1 gallon
hope this helps!