Answer:
9 - 7x - x²
Step-by-step explanation:
-4x+2x2-x²+5-3x = -4x-3x+2x2+5-x²
I arranged the like terms together so it is easier to do the calculations.
-4x-3x+2x2+5-x² = -7x+4+5-x²
Simplify.
-7x+4+5-x² = 9-7x-x²
Answer: yes.
Step-by-step explanation:
18 people × .82 percent = 14.76
Answer:
114 cm²
Step-by-step explanation:
Area of shaded region
= area of circle -area of square
Given that radius= 10cm, r= 10cm.
Let the length of a side of the square be x cm.
Applying Pythagoras Theorem,
10² +10²= x²
100 +100= x²
x²= 200
Area of square
= x²
= 200cm²
Area of shaded region
= 3.14(10²) -200
= 3.14(100) -200
= 314 -200
= 114 cm²
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
