In order to find average rate of change over an interval, do the y2-y1/x2-x1. Solve y for x=9 and x= 4
y2 = -3(9-4)^2 + 3 = -72
y1 = -3(4-4)^2 + 3 = 3
Now, x2 matches with y2 and and x1 matches with y1 obviously...
-72 - 3/9 - 4 = -15
Answer:
3/8 is terminating decimal number. It's decimal value is 0.375
Answer:
We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
3x+6y=5 (Subtract 3x on both sides.)
6y=−3x+5 (Divide both sides by 6.)
y=−
6
3
x+
6
5
y=−
2
1
x+
6
5
The slope of our first line is equal to −
2
1
. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is −
x
1
.
The negative reciprocal of −
2
1
is equal to 2, therefore 2 is the slope of our line.
Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:
3=(2×1)+b
3=2+b
b=3−2=1
Substitute this value for b in the equation y=2x+b:
y=2x+1
Hence, the equation of the line is y=2x+1.
Step-by-step explanation:
Answer: 9cm
Step-by-step explanation:
Answer:
54 apples
Step-by-step explanation:
i know that he most likely didnt eat the same amount of apples per year but, if you divide the number of apples he ate overall by his age you get 54 apples.