Answer:
Step-by-step explanation:
hello :
tanx= 15/20
x=36.97°
1. "the sum of -4x and 2 is 9"? -4x + 2 = 9
Answer:
A.-4x + 2 = 9
2. solve x - 6 = -18
x = -18 +6
x = -12
Answer is B.x = -12
3. solve 4x + 3 = 47
4x = 47 -3
4x = 44
x = 44/44 = 11
Answer is A.x = 11
4. solve 1/3x = 12
x= 12 / (1/3)
x = 12 * 3 = 36
Answer is C.x = 36
5. solve 3x + 3 = 21
3x = 21 -3
3x = 18
x = 18/3 = 6
Answer is B.x = 6
6. solve. 3/2x - 4 = 16
3/2x = 16 + 4
3/2x =20
x = 20 / (3/2)
x = 20 * 2/3
x = 40/3
A.x = 13 1/3
Answer is B.x = 13 1/3
Suppose you cut squares have the side lengths x then we have
length of base box=20-2x
width of base box=30-2x
height of box=x
volume of the box
V=x(20-2x)(30-2x)
V=600x-100x^2+4x^3
then
dV/dx=600-200x+12x^2
set that to zero
600-200x+12x^2=0
apply quadratic formula
x=approx12.97 or 3.92
since you want in whole numbers so x=13 or x=4
so if x=13 then V= -312 but negative number doesn't make a sense so we ignore that
if x=4 then v=1056 this is the greatest volume
the dimensions are
length of a box base=12
width of a box base=22
height of box =4
did u get it ?
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75