Answer:
Step-by-step explanation:
5
the arrows on the end of the line means it continues
both the domain and the range for this graph is negative infinity to infinity
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
Felipe's expression using the Distributive Property can be written as
5 × 28 = 5( 20 + 8)
5 × 28 = (5 × 20) + (5 × 8)
Step-by-step explanation:
Distributive property states that:
a( b + c) = ab + ac
We are told in the question that:
DVDs are on sale for $28 each. Felipe writes the expression 5 × 28 to find the cost in dollars of buying 5 DVDs.
Therefore:
Felipe's expression using the Distributive Property can be written as:
5 × 28 = 5( 20 + 8)
5 × 28 = (5 × 20) + (5 × 8)
