All categories

3 years ago

The cube of the difference of 1 and a number

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

8 0

Answer:

$(1-x)^3$

Step-by-step explanation:

Let

x ----> the number

we know that

The cube of the difference of 1 and a number is the same that subtract the number from 1 and all the expression elevated to the cube

$(1-x)^3$

You might be interested in

Find lim ?x approaches 0 f(x+?x)-f(x)/?x where f(x) = 4x-3

Whitepunk [10]

If $f(x)=4x-3$ :

$\displaystyle\lim_{\Delta x\to0}\frac{(4(x+\Delta x)-3)-(4x-3)}{\Delta x}=\lim_{\Delta x\to0}\frac{4\Delta x}{\Delta x}=4$

If $f(x)=4x^{-3}$ :

$\displaystyle\lim_{\Delta x\to0}\frac{\frac4{(x+\Delta x)^3}-\frac4{x^3}}{\Delta x}=\lim_{\Delta x\to0}\frac{\frac{4x^3-4(x+\Delta x)^3}{x^3(x+\Delta x)^3}}{\Delta x}$

$\displaystyle=\lim_{\Delta x\to0}\frac{4x^3-4(x^3+3x^2\Delta x+3x(\Delta x)^2+(\Delta x)^3)}{x^3\Delta x(x+\Delta x)^3}$

$\displaystyle=\lim_{\Delta x\to0}\frac{-12x^2\Delta x-12x(\Delta x)^2-4(\Delta x)^3}{x^3\Delta x(x+\Delta x)^3}=-\frac{12}{x^4}$

7 0

4 years ago

How many real zeros does the function graph below have?

Nostrana [21]

Answer:

Step-by-step explanation:

If the graph crosses the x-axis and appears almost linear at the intercept, it is a single zero. If the graph touches the x-axis and bounces off of the axis, it is a zero with even multiplicity. If the graph crosses the x-axis at a zero, it is a zero with odd multiplicity.

6 0

3 years ago

7, 12, 10, 18, 13, 23, 29, 15, 16, 18, 15, 12, 20<br> find the outlier. explain your answer.

Naddik [55]

Answer:

Step-by-step explanation:

the rest of the numbers are closer to each other but if you plot these you see that 29 doesnt belong

4 0

3 years ago

What would the points (400,10) represent on the graph

olga nikolaevna [1]

Answer:

No solution

Step-by-step explanation:

You didn't include enough information

4 0

3 years ago

Read 2 more answers

What is the area of the actual living room in square feet? Round your answer to the nearest whole number. The numbers are 3 in.

aleksandr82 [10.1K]

First convert to feet
3in=3/12=1/4ft
5.5in=5.5/12ft

1:30
multiply scale by 30
1/4ft times 30=30/4=15/2=7.5ft
5.5/12ft times 30=165/12=13.75ft
multiply them
7.5ft times 13.75ft=103.125 ft^2
closest is option D

8 0

4 years ago

Read 2 more answers