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2 years ago

Is the following function even, odd, or neither f(x)=x^3/x+1

Mathematics

1 answer:

algol [13]2 years ago

8 0

Answer: Odd

Step-by-step explanation:

Odd functions are functions where the exponent of the leading term is odd. In this case, the exponent of 3 is odd, so the function is odd.

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The length of a rectangular storage room is 3 feet longer than its width. if the area of the room is 40 square feet, find the wi

xenn [34]

Answer:

Width of rectangular storage room= 5 feet.

Step-by-step explanation:

Let x be the width of storage room.

We have been given that the length of a rectangular storage room is 3 feet longer than its width. So the length of storage room will be x+3.

We are also given that the area of the room is 40 square feet.

Since the area of a rectangle is length times width.

$\text{Area of rectangle}=\text{Length* Width}$

Let us substitute our given values in area formula.

$40=x*(x+3)$

Upon distributing x we will get,

$40=x^2+3x$

$x^2+3x-40=0$

Now let us factor out our quadratic equation using splitting the middle term.

$x^2+8x-5x-40=0$

$x(x+8)-5(x+8)=0$

$(x+8)(x-5)=0$

$x+8=0$ or $x-5=0$

$x=-8$ or $x=5$

Since width can not be negative, therefore, the width of rectangle will be 5 feet.

Let us verify our answer.

Length of rectangular storage room is 3 feet longer than its width. So length will be 5+3=8.

Given: Area=40 square feet.

5*8=40.

Hence, width of rectangular storage room is 5 feet.

7 0

3 years ago

What is the least common multiple of 8 and 12?

MArishka [77]

8:8,16,24,32,40,48,56,64,
12:12,24,36,48
Least common multiple is 24 because it's less then the other common multiples such as 48

4 0

3 years ago

Jaida simplified and evaluated this expression 2x+5x-4+1 when x=3. What answer should jaida get

jenyasd209 [6]

The answer to this problem is 18

7 0

3 years ago

Simplify 2(x - 3) + 7(x + 2).

harkovskaia [24]

The answer is 9x + 8.

4 0

4 years ago

Read 2 more answers

A mammal's surface area can be calculated by using the equation S(m) = km where s(m) is the surface area in square centimeters,

Virty [35]

Answer: 706 grams

Step-by-step explanation:

s(m) = km

So 6000 = 8.5m

Divide both sides by 8.5 to isolate m

6000/8.5 = 8.5m/8.5

705.88 = m

m = 706 (rounding up)

3 0

3 years ago