Explain how you use estimation to check the reasonableness of a solution to a practical problem.

Mathematics

1 answer:

Oxana [17]2 years ago

3 0

Answer:

Well, one way to use reasonableness is to estimate the answer to see if your answer is an outrageous answer or not. So, looking at your problem, you see that you are multiplying a two hundred something number by 4 and then subtracting 10 from it.

Step-by-step explanation:

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If f(x)=x+8 and g(x)=-4x-3 find (f+g)(x)

nydimaria [60]

Answer:

for this case we have the following functions:

f (x) = x + 8

g (x) = -4x - 3

Subtracting the functions we have:

(f - g) (x) = f (x) - g (x)

(f - g) (x) = (x + 8) - (-4x - 3)

Rewriting:

(f - g) (x) = x + 8 + 4x + 3

(f - g) (x) = 5x + 11

Answer:

D. (f - g) (x) = 5x + 11

7 0

3 years ago

A student pushes a 51.5 kilogram bookshelf across a smooth floor with a net force of 67 N.

iren [92.7K]

The acceleration of the bookshelf is equal to 1.30 $m/s^2$

<u>Given the following data:</u>

Mass of bookshelf = 51.5 kilogram

Net force = 67 Newton

To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by this formula;

$Acceleration = \frac{Net\;force}{Mass}$