To simplify this use the distributive property.
4(5x)= 20x
4(8)=32
4(3p)=12p
Your simplified answer is
20x+12p+32
Answer:
y=2x-2
Step-by-step explanation:
first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept
add 5 to both sides
x+2y=5
subtract x from both sides
2y=-x+5
divide by 2
y=-1/2x+5/2
perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")
to find the slope of I2:
since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))
so here's our equation so far:
y=2x+b
now we need to find b
because line will pass through (3,4), we can use it to solve for b
substitute 4 as y and 3 as x
4=2(3)+b
multiply
4=6+b
-2=b
therefore the equation is y=2x-2
hope this helps!!
Answer:
See answer below
Step-by-step explanation:
Hi there,
To get started, recall the average rate of change formula (essentially the same thing as slope):

So, just determine the average rate for each function between points [0,2] (a and b for the formula above, respectively).
To make it less time consuming, you do not need to do the division portion as it is same for all of them and (2-0) is greater than 1:

Without even doing the divison of (b-a), we can already see that the function with smallest average rate of change between [0,2] is f(x).
thanks,
The answer to number one is A