Answer:
x = -2/15.
Step-by-step explanation:
Finding the second derivative:
f'(x) = 15x^2 +4x - 3
f"(x) = 30x + 4
30x + 4 = 0 for a point of inflection
x = -4/30 = -2/15
So 30x + 4 is negative up to x = -2/15 and positive thereafter.
So the curve passes from concave downward to concave upward at x = -2/15.
Let width of rectangle be "x"
L= 3x W=x
if width is diminished by 1 that means new width = (x-1)
similarly the new length would be (3x+3)
hence (x-1)*(3x+3)=72
(3x^2)-3=72
3x^2=75
x^2=25
x= +/- 5
reject -5 as you cant have negative length
hence x=5
so original dimensions of rectangle is
L= 15m W=5m
Description 1: "The integer n is between -7 and -4, excluding both endpoints"
Description 2: "The integer n is larger than -7 and smaller than -4"
1) 8 41/48
2) 9 16/27
3) 41 2/5
4) 13 55/63
hope this helps x
Answer:
Ben received: £140
Step-by-step explanation:
Total amount = £240
Given ratio: 5:7
It means £240 is divided into 12 parts
So 1 part will be equal to: £240/12
1 part = £20
Now given ratio is:
5:7
Multiplying each share with £20
5*(£20) : 7* (£20)
£100: £140
So according to ratio amounts:
Alex received: £100
Ben received: £140
I hope it will help you!
