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2 years ago

Simplify the following expression and justify each step in your simplification. 5(7-x)+6x(3x+4)

Mathematics

2 answers:

Mariulka [41]2 years ago

8 0

35-5x+18x^2+24x
Simplify:
18x^2+19x+35

SIZIF [17.4K]2 years ago

7 0

Answer:

The simplified form of the given expression is $18x^2+19x+35$ .

Step-by-step explanation:

The given expression is

$5(7-x)+6x(3x+4)$

We need to find the simplified form of the given expression.

Using distributive property we get

$5(7)+5(-x)+6x(3x)+6x(4)$

On further simplification we get

$35-5x+18x^2+24x$

On combine like terms.

$18x^2+(-5x+24x)+35$

$18x^2+19x+35$

Therefore the simplified form of the given expression is $18x^2+19x+35$ .

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A) The greatest rectangular area will be the area of a square 10 m on each side, 100 m^2.

b) The new dimensions will be 11 m × 11 m.
.. The new area will be (11 m)^2 = 121 m^2.

c) The area was increased by 121 m^2 -100 m^2 = 21 m^2, or 21%.

d) Yes, and no.
.. If you increase the dimensions by 10%, the area will increase by 21%.
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.. If you increase the dimensions by 1 unit, the area will increase by (2x+1) square units, where x is the side of the original. For x≠10, this is not 21 square units.
.. (41 m)^2 = 1681 m^2 = 1600 m^2 +(2*40 +1) m^2 = 1600 m^2 +81 m^2

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