Answer:
15
/2
, Square root of 64, 8.14, 8 1/7
To find the equation of a line using two given set of points, you must first find slope. To do so, we must use the slope formula:
y2 - y1 / x2 - x1
In this case:
1 - 9 / -1 - 3 = -8 / -4
- 8 / -4 = 2 (simplified)
Now we can use the point-slope formula:
y - y1 = m(x - x1)
y - 1 = 2(x + 1 )
y - 1 = 2x + 2
y = 2x + 3
In order to make 3x - y = 6 in slope intercept form, we must isolate y.
- y = -3x + 6
Note: y cannot be negative, so we'll multiply both sides by -1
( -1 ) - y = - 3x + 6 ( -1 ) = y = 3x -6
To get the extrema, derive the function.
You get y' = 2x^-1/3 - 2.
Set this equal to zero, and you get x=0 as the location of a critical point.
Since you are on a closed interval [-1, 1], those points can also have an extrema.
Your min is right, but the max isn't at (1,1). At x=-1, you get y=5 (y = 3(-1)^2/3 -2(-1); (-1)^2/3 = 1, not -1).
Thus, the maximum is at (-1, 5).
Answer:
<h2>-4a²b³ (-6+ 7a³)</h2><h2 />
Step-by-step explanation:
24a²b³ - 28a⁵b³
apply exponential rule:
24a²b³ - 28a²a³b³
re-write 24 as 6*4 and -28 as 7*4
6*4a²b³ + 7*4a²a³b³
factor common terms
-4a²b³ (-6+ 7a³)
Answer: im not sure if there was supposed to be more to this problem, like how much dough was needed before 35% of the pie was eaten???? (if there is more pls comment and ill help)