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
BARSIC [14]
3 years ago
15

Perform the indicated operation. (w 3 + 64) ÷ (4 + w)

Mathematics
2 answers:
Aloiza [94]3 years ago
5 0

Answer:

The expression \frac{\left(w^3+64\right)}{w+4} becomes w^2-4w+16

Step-by-step explanation:

Given : Expression \frac{\left(w^3+64\right)}{w+4}

We have to find the simplified value of given expression.

Consider the given expression  \frac{\left(w^3+64\right)}{w+4}

Rewrite 64 as 4^3

=w^3+4^3

\mathrm{Apply\:Sum\:of\:Cubes\:Formula:\:}x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)

w^3+4^3=\left(w+4\right)\left(w^2-4w+4^2\right)

Simplify,

=\left(w+4\right)\left(w^2-4w+4^2\right)

Given expression becomes,

=\frac{\left(w+4\right)\left(w^2-4w+16\right)}{w+4}

Cancel common factors, we have,

=w^2-4w+16

Thus, The expression \frac{\left(w^3+64\right)}{w+4} becomes w^2-4w+16

pantera1 [17]3 years ago
4 0
W³ + 64 = w³ + 4³ = (w+4)³ - 3*w*4(w+4) = (w+4)[(w+4)² - 12w]

(w³ + 64) ÷ (w+4)
=(w+4)[(w+4)² - 12w] ÷ (w+4)
= (w+4)² - 12w
= w² -4w + 16
You might be interested in
The Augello family is driving from Columbus to St. Louis at a constant rate of 65 miles per hour. The distance between the two c
Anestetic [448]

Answer:

y = -65x + 420

Step-by-step explanation:

Slope-intercept form equation is given as y = mx + b

Where,

y = distance remaining

x = hours driven

m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.

b = y-intercept, which is the initial value or the distance between the cities = 420

Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:

y = -65x + 420

7 0
3 years ago
What fraction of a gallon is equal to a quart?
vladimir2022 [97]
A fraction of gallon that is equal to is 1/4 because 4 quarts equals one gallon

Hope This Helps
8 0
3 years ago
Read 2 more answers
2 and one fifth is 11​% of what​ number?
adell [148]

The required number of the given question is 20.

Step-by-step explanation:

Given:

2\frac{2}{5} is 11% of a given number.

To find:

The given number

Let, the number be "x"

According to the problem,

2\frac{2}{5} = 11% of x

or, 2\frac{2}{5}  = x ×\frac{11}{100}

or, \frac{11}{5} = \frac{11x}{100}

or, 11 ×5x = 100×11 [ by cross multiplication]

or, x = 20

5 0
4 years ago
Read 2 more answers
Select all the correct answers.
aliina [53]

Answer:

The inequality x3 − 14x2 + 48x − 1,680 ≤ 0 can be used to find pool’s length.

⇒The water level in the pool cannot exceed 14 feet.

Step-by-step explanation:

The question is on inequalities

Given;

Length= x ft

depth= x-6  ft

Width= x-8 ft

volume ≤ 1680 ft³

Forming the inequality to find length x of the pool

Volume= base area × depth

base area × depth ≤ volume

x(x-8) × (x-6) = 1680

(x²-8x )(x-6) = 1680

x(x²-8x) -6 (x²-8x)=1680

x³-8x²-6x²+48x=1680

x³-14x²+48x=1680

x³-14x²+48x-1680 ≤ 0

⇒The water level in the pool cannot exceed 14 feet...why?

taking the value of x at maximum to be 17 according to the graph, then maximum depth will be;

d=x-6 = 17-6=11 ft

⇒11 ft is less than 14ft

8 0
3 years ago
What is -0.9 if I turn it into a fraction in simplist form?
Arada [10]
-9/10. Hope that helps!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Help please and thank you
    13·2 answers
  • A sequence starts 1,5,9,13,17<br> What’s the formula for the nth term of this sequence??
    14·2 answers
  • Is -1/2=1/-2 true or false
    5·1 answer
  • Homework answer plz I need help
    12·1 answer
  • Help me for all of these please?!​
    8·1 answer
  • Diana buys 5 sodas every week. Which of the following expressions shows the total number of sodas she buys in y weeks? Select on
    11·1 answer
  • Mary rides her horse 30 miles in 2 1/2 hours. What is her average speed in miles per hour?
    9·1 answer
  • At time t​=0, water begins to drip out of a pipe into an empty bucket. After 36 ​minutes, there are 12 inches of water in the bu
    10·1 answer
  • 3<br>1<br>3<br>19 -3<br>to get 75 13)?<br>Which matrix post multiplies to<br>4​
    5·1 answer
  • How many times can 1021 go into 6
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!