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
Elis [28]
3 years ago
7

Show that 6^3-1 is divisible by 5 using our identities

Mathematics
2 answers:
Doss [256]3 years ago
8 0

Answer:

Step-by-step explanation:

a³-b³=(a-b)(a²+ab+b²)

6³-1=6³-1³=(6-1)(6²+6*1+1²)=5×43

so 6³-1 is divisible by 5.

Harlamova29_29 [7]3 years ago
5 0

\displaystyle 6^3 - 1 = 216 - 1 = 215

The number 215 is divisible by 5 because it ends in 5, according to the <em>divisibility</em><em> </em><em>rules</em>.

I am joyous to assist you anytime.

You might be interested in
2) Describe the transformation that took place on the graph below. Explain how you can be sure.
Slav-nsk [51]

Answer:

The transformation on the graph is a reflection across the x-axis.

Step-by-step explanation:

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.

In this particular figure, you see that each point is the same number of units away from the x-axis. For instance, with A and A' their both 1 unit away from the x-axis. So this is an automatic indicator that this transformation is a reflection.

3 0
3 years ago
A construction company is analyzing which of its older projects need renovation. Building B was built two years before building
Black_prince [1.1K]

The inequality x²+6x +8 ≥ 195 represents the provided situation option (D) x²+ 6x +8 ≥ 195 is correct.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have building B was built two years before building C.

The age of C is represented by x

Age of Building B:  

b = x + 2

Building D was built two years before building B

Age of Building d= x+4

The product of the building B’s age and building D’s age is at least 195.

b×d ≥ 195

(x+ 2)(x+4) ≥ 195

After solving we get:

x²+ 6x +8 ≥ 195

Thus, the inequality x²+6x +8 ≥ 195 represents the provided situation option (D) x²+ 6x +8 ≥ 195 is correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

3 0
2 years ago
What is 6 plus 6??????..
koban [17]

Answer: 6 plus 6 is 94

Step-by-step explanation:

For example |||||||||||||||||||||||||||||||||||||||||||||| + ||||||||||||||||||||||||||||||||||||||||||||||| = 94

5 0
3 years ago
Read 2 more answers
A Pairs socks that normally sells for eight dollars is on sale for 15% off find the sale price of the socks then find the total
Lena [83]

Answer:

Step-by-step explanation:

The original selling price of the pair of socks is $8. The pair of socks is on sale for 15%. The new selling price of the pair of socks would be the original price - 15% off the original price. It becomes

8 - (15/100 × 8) = 8 - 0.15×8 = 8 - 1.2 = $6.8

if the sales tax rate is 8%, it means that the total cost of the socks would be the new selling price + 8% of the new selling price. It becomes

Total cost of the pair of socks

= 6.8 + (8/100×6.8) = 6.8 + 0.08×6.8 = 6.8 + 0.544 = $7.344

7 0
3 years ago
Slope = -1/3 passing through (4,-9) <br> Point- slope form and slope-intercept form
AleksandrR [38]

Answer:

-9=-1/3-13 is it in slope intercept form, look up ones to put it in different forms

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • 8 by the power of -5
    9·2 answers
  • 3x + 6y =3 x - y = -7 Does the system have: no solutions, infinite solutions, or one solution?
    6·1 answer
  • I need help on 3 and 4
    13·1 answer
  • If f(x)=11X+7, then f^-1(x)=
    11·1 answer
  • The experimental probability of a coin landing on heads is 7/12. If the coin landed on tails 30 times, find the number of tosses
    5·1 answer
  • Numbers that are easy to compute using mentally are called?
    14·1 answer
  • a greenhouse has the shape of a square pyramid. the base has a side length of 30 yards. the height of the greenhouse is 18 yards
    15·1 answer
  • on Tuesday afternoon at Camp Bruce Did archery and sailling before dinner he spent 55 minutes at archery and 1 hour and 35 minut
    7·1 answer
  • What is the next number sequence after 459?
    5·1 answer
  • 23/(3+4)-12=??<br> help ;-;
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!