Answer:
-4
Step-by-step explanation:
1. Always start with the parenthesis. (26/13) = 2
2. Then multiply. 2*-7 = -14
3. After, you add 14 to your precious answer (-14) then subtract 4.
-14 + 14 = 0 - 4 = -4
we are given
dimensions of rectangle as
length of rectangle is
width of rectangle is
now, we can use formula of area of rectangle
we can plug values
we get
now, we can simplify it
..............Answer
Answer:
Cost of material is $245.31
Step-by-step explanation:
Let dimension of box,
<em>The length of this base is twice the width.</em>
<em>∴ </em>x = 2y
Volume of box = 10 m³
∴ xyz = 10
⇒ 2y²z = 10
⇒ y²z = 5
<em>Material for the base costs $15 per square meter.</em>
Total cost of base = 15xy
Total cost of base = 30y² [∵ x = 2y ]
<em>Material for the sides costs $9 per square meter.</em>
Total cost of side = 9(2xz+2zy)
Total cost of side = 18(xz+yz)
Total cost of material for container = 30y² + 18(xz+yz)
[From (i)]
Differentiate w.r.t y
For critical point , C'(y)=0
The minimum cost of container material at
Hence, the cheapest cost of material for container is $245.31
Answer:
11
Step-by-step explanation:
Given
x² - 7x + 10 = 28 ( subtract 28 from both sides )
x² - 7x - 18 = 0 ← in standard form
(x - 9)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x + 2 = 0 ⇒ x = - 2
The distance between the solutions is
| 9 - (- 2) | = | 11 = 11 units