2 years ago

Simplify -14x^3/x^3- 5x^4 where x=?

1 answer:

6 0

Step-by-step explanation:

$\dfrac{-14x^3}{x^3-5x^4}\qquad\text{where}\ x^3-5x^4\neq0\\\\x^3-5x^4\neq0\qquad\text{distributive}\\\\x^3(1-5x)\neq0\iff x^3\neq0\ \wedge\ 1-5x\neq0\\\\x\neq0\ \wedge\ x\neq\dfrac{1}{5}\\\\\dfrac{-14x^3}{x^3(1-5x)}\qquad\text{cancel}\ x^3\\\\=\dfrac{-14}{1-5x}\qquad\text{where}\ x\neq\dfrac{1}{5}$

You might be interested in

What is the probability of getting an odd number and a 4 sided shape on the spinner?

-Dominant- [34]

Answer:

Step-by-step explanation:

3 odd numbers x 2 4-sided shapes = 6

4 0

2 years ago

Read 2 more answers

The product of 2 and a number increased by 7 is -36

Sholpan [36]

"The product" means you're multiplying the two numbers.
"a number" refers to a variable.
"increased" means you're adding.

2x + 7 = -36

3 0

2 years ago

(Question 63) I have the answer in my book, but I have no idea how they got it, so any explaination would be super helpful! Than

vitfil [10]

You have to know that the graph of the arctangent function is a flat S-shaped curve that goes through (0, 0) and has asymptotes at ±π/2. The factor of 2 that multiplies it here expands it vertically so the asymptotes are at ±π. The +3 added to the x causes it to be shifted to the left by 3 units.

5 0

2 years ago

Simplify the following problem.<br> (-8+61) +(6+61)

Travka [436]

Answer: -8+61 = 53 and 6+61 = 67

3 0

2 years ago

470.47 in expanded form

Aleksandr-060686 [28]

Four hundred seventy and forty seven hundredth

7 0

2 years ago