So what are we trying to find the reduced fraction or inverse operation
Step-by-step explanation:
E
working ;
(3x+2)^2
*Apply Perfect Square Formula : (a+b) =a^2+2ab+b^2
a = 3x,b = 2
(3x)^2 + 3x.2+2^2
finally Answer is:
= 9x^2 + 12x +4
They are corresponding angles - they are equal
X+95 =4x-10
Add 10 to both sides
X+105 =4x
Subtract x from both sides
105=3x
X=35
35+95= 130
Answer:
V(max) = 8712.07 in³
Dimensions:
x (side of the square base) = 16.33 in
girth = 65.32 in
height = 32.67 in
Step-by-step explanation:
Let
x = side of the square base
h = the height of the postal
Then according to problem statement we have:
girth = 4*x (perimeter of the base)
and
4* x + h = 98 (at the most) so h = 98 - 4x (1)
Then
V = x²*h
V = x²* ( 98 - 4x)
V(x) = 98*x² - 4x³
Taking dervatives (both menbers of the equation we have:
V´(x) = 196 x - 12 x² ⇒ V´(x) = 0
196x - 12x² = 0 first root of the equation x = 0
Then 196 -12x = 0 12x = 196 x = 196/12
x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in
and from equation (1)
y = 98 - 4x ⇒ y = 98 -4 (16,33)
y = 32.67 in
and maximun volume of a carton V is
V(max) = (16,33)²* 32,67
V(max) = 8712.07 in³
Answer: $113.55
Step-by-step explanation:
add up the cost of the lesson, boots, board, and ticket
the lesson costs $33.80 and the ticket costs $25, these cover the whole day so no need to be multiplied. the boots cost $2 and the board costs $8.95 each hour, jim will need to pay the cost of both 5 times for 5 hours.
here is the equation to solve
33.80 + 5(8.95 + 2.00) + 25 =
33.80 + 5(10.95) + 25 =
33.80 + 54.75 + 25 =
33.80 + 79.75 = 113.55
the total cost is $113.55