How could you use the conversion table on page 618 to convert 700 cenimeters to meters
1 answer:
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Answer:
c, d and e
Step-by-step explanation:
A linear expression is an expression in which sum of exponents of variables is at most 1 in each of its terms.
Option a:
Here, the exponent of the variable is 1.
So, it is a linear expression.
Option b:
Here, the exponent of the variable is 1.
So, it is a linear expression.
Option c:
Here, the highest exponent of the variable is 2.
So, it is NOT a linear expression.
Option d:
Here, the exponent of the variable is 2.
So, it is NOT a linear expression.
Option e:
Here, sum of exponents of variables is 2.
So, it is NOT a linear expression.
Hence, c, d and e are NOT algebraic expressions.
Th long side of the plastic sheet is bent into a U shape.
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure.
The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0
h = 80/32 = 2.5 in
V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³
Answer: h = 2.5 in
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure.
The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0
h = 80/32 = 2.5 in
V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³
Answer: h = 2.5 in