1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mazyrski [523]
3 years ago
10

Find two consecutive numbers whose cubes differ by 631

Mathematics
1 answer:
yan [13]3 years ago
4 0
Let the two numbers be x and y, in which x is larger than y. From these variables, we can formulate the following equations:

x = y + 1  --> eqn 1
x³ - y³ = 631 --> eqn 2

Since there are two unknowns and two independent equations, this system is solvable. Substitute equation 1 to equation 2, then solve for y.

(y + 1)³ - y³ = 631
Solving for y,
y = 14
x = y + 1  = 14 + 1 = 15

<em>Therefore, the two consecutive numbers are 14 and 15.</em>
You might be interested in
Simplify the algebraic expression (8x + 16y)/2 + 4(x - y)
Karo-lina-s [1.5K]

It's 8x + 16y/2 + 4x - 4y :))

5 0
3 years ago
Read 2 more answers
Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu . assum
attashe74 [19]

To solve for the confidence interval for the population mean mu, we can use the formula:

Confidence interval = x ± z * s / sqrt (n)

where x is the sample mean, s is the standard deviation, and n is the sample size

 

At 95% confidence level, the value of z is equivalent to:

z = 1.96

 

Therefore substituting the given values into the equation:

Confidence interval = 3 ± 1.96 * 5.8 / sqrt (51)

Confidence interval = 3 ± 1.59

Confidence interval = 1.41, 4.59

 

Therefore the population mean mu has an approximate range or confidence interval from 1.41 kg to 4.59 kg.

6 0
3 years ago
A shirt originally cost $36.24, but it is on sale for $30.80. What is the percentage decrease of the price of the shirt? If nece
KiRa [710]
To work out the decrease, do original amount - new amount and then take that answer and divide it by the original amount, and then multiply by 100.

So you would do:

36.24 - 30.80 = 5.44
5.44 ÷ 36.24 × 100 = 15% to the nearest percent.  

6 0
3 years ago
(15 PIONTS) PLZ HELP!!! URGENT!!!<br><br>​
Vanyuwa [196]

Answer:

FIVE

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
70 POINTS!
Sunny_sXe [5.5K]
Notation

The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.

Inverses

A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y.

A function f -1 is the inverse of f if

<span><span>for every x in the domain of f, f<span> -1</span>[f(x)] = x, and</span><span>for every x in the domain of f<span> -1</span>, f[f<span> -1</span>(x)] = x</span></span>

The domain of f is the range of f -1 and the range of f is the domain of f<span> -1</span>.

Graph of the Inverse Function

The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (4,6) is a point on the graph of the function, then (6,4) is a point on the graph of the inverse function.

Points on the identity function (y=x) will remain on the identity function when switched. All other points will have their coordinates switched and move locations.

The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.

6 0
3 years ago
Other questions:
  • The lengths of the sides of the base of a right square pyramid are 3 feet, and its slant height is 8 feet. If the sides of the b
    13·1 answer
  • For the inequalities, how would I put them on the number line ?
    14·1 answer
  • Yoko made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces w
    13·2 answers
  • Planck's constant is best described as which of the following?
    9·2 answers
  • 7.
    8·2 answers
  • A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the pr
    14·2 answers
  • (x - 5) / 6 &lt; 2<br><br> and please explain.
    6·2 answers
  • What is 20.6 divided by 9.7? (Include remainder)
    6·1 answer
  • PLEASE HELP PREALGEBRA !!!
    7·1 answer
  • What is the volume and with of a cube<br>​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!